Merge branch 'master' of github.com:papayalove/Magic-PDF

.github/workflows/cli.yml

+# This workflow will install Python dependencies, run tests and lint with a variety of Python versions
+# For more information see: https://docs.github.com/en/actions/automating-builds-and-tests/building-and-testing-python
+
+name: PDF
+on:
+  push:
+    branches:
+      - "master"
+    paths-ignore:
+      - "cmds/**"
+      - "**.md"
+  pull_request:
+    branches:
+      - "master"
+    paths-ignore:
+      - "cmds/**"
+      - "**.md"
+  workflow_dispatch:
+jobs:
+  cli-test:
+    runs-on: pdf
+    timeout-minutes: 40
+    strategy:
+      fail-fast: true
+
+    steps:
+    - name: config-net
+      run: |
+        export http_proxy=http://bigdata_open_proxy:H89k5qwQRDYfz@10.140.90.20:10811
+        export https_proxy=http://bigdata_open_proxy:H89k5qwQRDYfz@10.140.90.20:10811
+    - name: PDF cli
+      uses: actions/checkout@v3
+      with:
+        fetch-depth: 2
+    - name: check-requirements
+      run: |
+        changed_files=$(git diff --name-only -r HEAD~1 HEAD)
+        echo $changed_files
+        if [[ $changed_files =~ "requirements.txt" ]]; then
+          pip install -r requirements.txt
+        fi
+
+    - name: config-net-reset
+      run: |
+        export http_proxy=""
+        export https_proxy=""
+    - name: test_cli
+      run: |
+        echo $GITHUB_WORKSPACE
+        cd $GITHUB_WORKSPACE && pytest -s -v tests/test_cli/test_cli.py
+
+                                                                                                                            
+  notify_to_feishu:
+    if: ${{ always() && !cancelled() && contains(needs.*.result, 'failure') && (github.ref_name == 'master') }}
+    needs: [cli-test]
+    runs-on: pdf
+    steps:
+    - name: get_actor
+      run: |
+          metion_list="quyuan"
+          echo $GITHUB_ACTOR
+          if [[ $GITHUB_ACTOR == "drunkpig" ]]; then
+            metion_list="xuchao"
+          elif [[ $GITHUB_ACTOR == "myhloli" ]]; then
+            metion_list="zhaoxiaomeng"
+          elif [[ $GITHUB_ACTOR == "icecraft" ]]; then
+            metion_list="xurui1"
+          fi
+          echo $metion_list
+          echo "METIONS=$metion_list" >> "$GITHUB_ENV"
+          echo ${{ env.METIONS }}
+
+    - name: notify
+      run: |
+        curl  ${{ secrets.WEBHOOK_URL }} -H 'Content-Type: application/json'  -d '{
+        "msgtype": "text",
+        "text": {
+            "mentioned_list": ["${{ env.METIONS }}"] , "content": "'${{ github.repository }}' GitHubAction Failed!\n 细节请查看：https://github.com/'${{ github.repository }}'/actions/runs/'${GITHUB_RUN_ID}'"
+        } 
+        }'     
\ No newline at end of file

magic_pdf/dict2md/ocr_mkcontent.py

@@ -95,7 +95,7 @@ def ocr_mk_markdown_with_para_core_v2(paras_of_layout, mode, img_buket_path=""):
     page_markdown = []
     for para_block in paras_of_layout:
         para_text = ''
-        para_type = para_block.get('type')
+        para_type = para_block['type']
         if para_type == BlockType.Text:
             para_text = merge_para_with_text(para_block)
         elif para_type == BlockType.Title:
@@ -106,32 +106,30 @@ def ocr_mk_markdown_with_para_core_v2(paras_of_layout, mode, img_buket_path=""):
             if mode == 'nlp':
                 continue
             elif mode == 'mm':
-                img_blocks = para_block.get('blocks')
-                for img_block in img_blocks:
-                    if img_block.get('type') == BlockType.ImageBody:
-                        for line in img_block.get('lines'):
+                for block in para_block['blocks']:
+                    if block['type'] == BlockType.ImageBody:
+                        for line in block['lines']:
                             for span in line['spans']:
-                                if span.get('type') == ContentType.Image:
+                                if span['type'] == ContentType.Image:
                                     para_text = f"\n![]({join_path(img_buket_path, span['image_path'])})\n"
-                for img_block in img_blocks:
-                    if img_block.get('type') == BlockType.ImageCaption:
-                        para_text += merge_para_with_text(img_block)
+                for block in para_block['blocks']:
+                    if block['type'] == BlockType.ImageCaption:
+                        para_text += merge_para_with_text(block)
         elif para_type == BlockType.Table:
             if mode == 'nlp':
                 continue
             elif mode == 'mm':
-                table_blocks = para_block.get('blocks')
-                for table_block in table_blocks:
-                    if table_block.get('type') == BlockType.TableBody:
-                        for line in table_block.get('lines'):
+                for block in para_block['blocks']:
+                    if block['type'] == BlockType.TableBody:
+                        for line in block['lines']:
                             for span in line['spans']:
-                                if span.get('type') == ContentType.Table:
+                                if span['type'] == ContentType.Table:
                                     para_text = f"\n![]({join_path(img_buket_path, span['image_path'])})\n"
-                for table_block in table_blocks:
-                    if table_block.get('type') == BlockType.TableCaption:
-                        para_text += merge_para_with_text(table_block)
-                    elif table_block.get('type') == BlockType.TableFootnote:
-                        para_text += merge_para_with_text(table_block)
+                for block in para_block['blocks']:
+                    if block['type'] == BlockType.TableCaption:
+                        para_text += merge_para_with_text(block)
+                    elif block['type'] == BlockType.TableFootnote:
+                        para_text += merge_para_with_text(block)
 
         if para_text.strip() == '':
             continue
@@ -141,11 +139,11 @@ def ocr_mk_markdown_with_para_core_v2(paras_of_layout, mode, img_buket_path=""):
     return page_markdown
 
 
-def merge_para_with_text(para):
+def merge_para_with_text(para_block):
     para_text = ''
-    for line in para['lines']:
+    for line in para_block['lines']:
         for span in line['spans']:
-            span_type = span.get('type')
+            span_type = span['type']
             content = ''
             language = ''
             if span_type == ContentType.Text:
@@ -159,6 +157,7 @@ def merge_para_with_text(para):
                 content = f"${span['content']}$"
             elif span_type == ContentType.InterlineEquation:
                 content = f"\n$$\n{span['content']}\n$$\n"
+
             if content != '':
                 if language == 'en':  # 英文语境下 content间需要空格分隔
                     para_text += content + ' '

magic_pdf/libs/draw_bbox.py

@@ -132,7 +132,7 @@ def draw_layout_bbox(pdf_info, pdf_bytes, out_path):
     pdf_docs = fitz.open("pdf", pdf_bytes)
     for i, page in enumerate(pdf_docs):
         draw_bbox_with_number(i, layout_bbox_list, page, [255, 0, 0], False)
-        draw_bbox_without_number(i, dropped_bbox_list, page, [0, 255, 0], True)
+        draw_bbox_without_number(i, dropped_bbox_list, page, [158, 158, 158], True)
         draw_bbox_without_number(i, tables_list, page, [153, 153, 0], True)  # color !
         draw_bbox_without_number(i, tables_body_list, page, [204, 204, 0], True)
         draw_bbox_without_number(i, tables_caption_list, page, [255, 255, 102], True)
@@ -142,7 +142,7 @@ def draw_layout_bbox(pdf_info, pdf_bytes, out_path):
         draw_bbox_without_number(i, imgs_caption_list, page, [102, 178, 255], True)
         draw_bbox_without_number(i, titles_list, page, [102, 102, 255], True)
         draw_bbox_without_number(i, texts_list, page, [153, 0, 76], True)
-        draw_bbox_without_number(i, interequations_list, page, [160, 160, 160], True)
+        draw_bbox_without_number(i, interequations_list, page, [0, 255, 0], True)
 
     # Save the PDF
     pdf_docs.save(f"{out_path}/layout.pdf")

magic_pdf/pdf_parse_by_ocr_v2.py

@@ -61,7 +61,7 @@ def parse_pdf_by_ocr(pdf_bytes,
         '''将所有区块的bbox整理到一起'''
         all_bboxes = ocr_prepare_bboxes_for_layout_split(
             img_blocks, table_blocks, discarded_blocks, text_blocks, title_blocks,
-            interline_equation_blocks, page_w, page_h)
+            interline_equations, page_w, page_h)
 
         '''根据区块信息计算layout'''
         page_boundry = [0, 0, page_w, page_h]

magic_pdf/pre_proc/ocr_detect_all_bboxes.py

@@ -57,8 +57,8 @@ def fix_text_overlap_title_blocks(all_bboxes):
 
     for text_block in text_blocks:
         for title_block in title_blocks:
-            text_block_bbox = text_block[0], text_block[1], text_block[2], text_block[3]
-            title_block_bbox = title_block[0], title_block[1], title_block[2], title_block[3]
+            text_block_bbox = text_block[:4]
+            title_block_bbox = title_block[:4]
             if calculate_iou(text_block_bbox, title_block_bbox) > 0.8:
                 all_bboxes.remove(title_block)
 
@@ -66,27 +66,37 @@ def fix_text_overlap_title_blocks(all_bboxes):
 
 
 def remove_need_drop_blocks(all_bboxes, discarded_blocks):
-    for block in all_bboxes.copy():
+    need_remove = []
+    for block in all_bboxes:
         for discarded_block in discarded_blocks:
-            block_bbox = block[0], block[1], block[2], block[3]
+            block_bbox = block[:4]
             if calculate_overlap_area_in_bbox1_area_ratio(block_bbox, discarded_block['bbox']) > 0.6:
-                all_bboxes.remove(block)
+                if block not in need_remove:
+                    need_remove.append(block)
+                    break
+
+    if len(need_remove) > 0:
+        for block in need_remove:
+            all_bboxes.remove(block)
     return all_bboxes
 
 
 def remove_overlaps_min_blocks(all_bboxes):
     #  删除重叠blocks中较小的那些
-    for block1 in all_bboxes.copy():
-        for block2 in all_bboxes.copy():
+    need_remove = []
+    for block1 in all_bboxes:
+        for block2 in all_bboxes:
             if block1 != block2:
-                block1_bbox = [block1[0], block1[1], block1[2], block1[3]]
-                block2_bbox = [block2[0], block2[1], block2[2], block2[3]]
+                block1_bbox = block1[:4]
+                block2_bbox = block2[:4]
                 overlap_box = get_minbox_if_overlap_by_ratio(block1_bbox, block2_bbox, 0.8)
                 if overlap_box is not None:
-                    bbox_to_remove = next(
-                        (block for block in all_bboxes if [block[0], block[1], block[2], block[3]] == overlap_box),
-                        None)
-                    if bbox_to_remove is not None:
-                        all_bboxes.remove(bbox_to_remove)
+                    bbox_to_remove = next((block for block in all_bboxes if block[:4] == overlap_box), None)
+                    if bbox_to_remove is not None and bbox_to_remove not in need_remove:
+                        need_remove.append(bbox_to_remove)
+
+    if len(need_remove) > 0:
+        for block in need_remove:
+            all_bboxes.remove(block)
 
     return all_bboxes

magic_pdf/pre_proc/ocr_span_list_modify.py

@@ -9,16 +9,20 @@ from magic_pdf.libs.ocr_content_type import ContentType, BlockType
 def remove_overlaps_min_spans(spans):
     dropped_spans = []
     #  删除重叠spans中较小的那些
-    for span1 in spans.copy():
-        for span2 in spans.copy():
+    for span1 in spans:
+        for span2 in spans:
             if span1 != span2:
                 overlap_box = get_minbox_if_overlap_by_ratio(span1['bbox'], span2['bbox'], 0.65)
                 if overlap_box is not None:
-                    bbox_to_remove = next((span for span in spans if span['bbox'] == overlap_box), None)
-                    if bbox_to_remove is not None:
-                        spans.remove(bbox_to_remove)
-                        bbox_to_remove['tag'] = DropTag.SPAN_OVERLAP
-                        dropped_spans.append(bbox_to_remove)
+                    span_need_remove = next((span for span in spans if span['bbox'] == overlap_box), None)
+                    if span_need_remove is not None and span_need_remove not in dropped_spans:
+                        dropped_spans.append(span_need_remove)
+
+    if len(dropped_spans) > 0:
+        for span_need_remove in dropped_spans:
+            spans.remove(span_need_remove)
+            span_need_remove['tag'] = DropTag.SPAN_OVERLAP
+
     return spans, dropped_spans
 
 
@@ -29,11 +33,13 @@ def remove_spans_by_bboxes(spans, need_remove_spans_bboxes):
     for span in spans:
         for removed_bbox in need_remove_spans_bboxes:
             if calculate_overlap_area_in_bbox1_area_ratio(span['bbox'], removed_bbox) > 0.5:
-                need_remove_spans.append(span)
-                break
+                if span not in need_remove_spans:
+                    need_remove_spans.append(span)
+                    break
 
-    for span in need_remove_spans:
-        spans.remove(span)
+    if len(need_remove_spans) > 0:
+        for span in need_remove_spans:
+            spans.remove(span)
 
     return spans
 

magic_pdf/user_api.py

@@ -74,7 +74,7 @@ def parse_union_pdf(pdf_bytes: bytes, pdf_models: list, imageWriter: AbsReaderWr
                 debug_mode=is_debug,
             )
         except Exception as e:
-            logger.error(f"{method.__name__} error: {e}")
+            logger.exception(e)
             return None
 
     pdf_info_dict = parse_pdf(parse_pdf_by_txt)

requirements.txt

@@ -17,4 +17,6 @@ zh_core_web_sm @ https://github.com/explosion/spacy-models/releases/download/zh_
 scikit-learn>=1.0.2
 nltk==3.8.1
 s3pathlib>=2.1.1
+pytest
+subprocess
 

tests/test_cli/conf/conf.py

+import os
+conf = {
+"code_path": os.environ.get('GITHUB_WORKSPACE'),
+"pdf_dev_path" : os.environ.get('GITHUB_WORKSPACE') + "/tests/test_cli/pdf_dev",
+"pdf_res_path": "/home/quyuan/code/Magic-PDF/Magic-PDF/Magic-PDF/data"
+
+}
+

tests/test_cli/lib/common.py

+import subprocess
+def check_shell(cmd):
+    res = subprocess.check_output(cmd, shell=True)
+    assert res == 0
+
+def count_folders_and_check_contents(directory):
+    # 获取目录下的所有文件和文件夹
+    contents = os.listdir(directory)
+    folder_count = 0
+    for item in contents:
+        # 检查是否为文件夹
+        if os.path.isdir(os.path.join(directory, item)):
+            folder_count += 1
+            # 检查文件夹是否为空
+            folder_path = os.path.join(directory, item)
+            assert os.listdir(folder_path) is not None
+    assert folder_count == 3 

tests/test_cli/pdf_dev/14a75ee1-b88a-4fe7-bb10-62cbfabbfdec.html.json

+[{"layout_dets": [{"category_id": 1, "poly": [89.961181640625, 2073.461669921875, 239.52061462402344, 2073.461669921875, 239.52061462402344, 2100.894775390625, 89.961181640625, 2100.894775390625], "score": 0.9999998807907104}, {"category_id": 2, "poly": [87.26616668701172, 74.82184600830078, 198.9960174560547, 74.82184600830078, 198.9960174560547, 186.6465301513672, 87.26616668701172, 186.6465301513672], "score": 0.9999980926513672}, {"category_id": 1, "poly": [85.48170471191406, 1983.3211669921875, 640.0853271484375, 1983.3211669921875, 640.0853271484375, 2057.33544921875, 85.48170471191406, 2057.33544921875], "score": 0.9999932050704956}, {"category_id": 1, "poly": [116.85928344726562, 1038.5179443359375, 403.7896423339844, 1038.5179443359375, 403.7896423339844, 1968.594970703125, 116.85928344726562, 1968.594970703125], "score": 0.9999915361404419}, {"category_id": 1, "poly": [118.67247009277344, 409.9633483886719, 246.474365234375, 409.9633483886719, 246.474365234375, 497.0032043457031, 118.67247009277344, 497.0032043457031], "score": 0.9999160766601562}, {"category_id": 1, "poly": [530.4315795898438, 991.8529052734375, 656.2960205078125, 991.8529052734375, 656.2960205078125, 1020.6166381835938, 530.4315795898438, 1020.6166381835938], "score": 0.9999150037765503}, {"category_id": 3, "poly": [88.1304702758789, 515.3963623046875, 1570.892333984375, 515.3963623046875, 1570.892333984375, 770.7802734375, 88.1304702758789, 770.7802734375], "score": 0.9945680499076843}, {"category_id": 1, "poly": [86.13500213623047, 2196.494140625, 709.7125244140625, 2196.494140625, 709.7125244140625, 2233.120361328125, 86.13500213623047, 2233.120361328125], "score": 0.9834498167037964}, {"category_id": 4, "poly": [89.66381072998047, 769.3086547851562, 604.8513793945312, 769.3086547851562, 604.8513793945312, 797.379638671875, 89.66381072998047, 797.379638671875], "score": 0.9638957977294922}, {"category_id": 1, "poly": [89.76014709472656, 355.5078125, 375.1806335449219, 355.5078125, 375.1806335449219, 385.1385803222656, 89.76014709472656, 385.1385803222656], "score": 0.9307346343994141}, {"category_id": 1, "poly": [88.51095581054688, 2130.6494140625, 1437.851806640625, 2130.6494140625, 1437.851806640625, 2170.198974609375, 88.51095581054688, 2170.198974609375], "score": 0.9123905897140503}, {"category_id": 2, "poly": [85.1264419555664, 2130.3125, 1436.6295166015625, 2130.3125, 1436.6295166015625, 2170.202880859375, 85.1264419555664, 2170.202880859375], "score": 0.40837574005126953}, {"category_id": 0, "poly": [84.86500549316406, 2130.254150390625, 1435.5068359375, 2130.254150390625, 1435.5068359375, 2170.0830078125, 84.86500549316406, 2170.0830078125], "score": 0.29840898513793945}, {"category_id": 2, "poly": [89.92295837402344, 355.66754150390625, 373.9532775878906, 355.66754150390625, 373.9532775878906, 385.2264099121094, 89.92295837402344, 385.2264099121094], "score": 0.27608123421669006}, {"category_id": 15, "poly": [349.0, 319.0, 376.0, 319.0, 376.0, 339.0, 349.0, 339.0], "score": 0.99, "text": "Go"}, {"category_id": 15, "poly": [143.0, 412.0, 207.0, 412.0, 207.0, 439.0, 143.0, 439.0], "score": 1.0, "text": "Home"}, {"category_id": 15, "poly": [140.0, 436.0, 226.0, 436.0, 226.0, 470.0, 140.0, 470.0], "score": 0.89, "text": " Journals"}, {"category_id": 15, "poly": [138.0, 465.0, 239.0, 465.0, 239.0, 499.0, 138.0, 499.0], "score": 1.0, "text": "About Us"}, {"category_id": 15, "poly": [529.0, 994.0, 654.0, 994.0, 654.0, 1021.0, 529.0, 1021.0], "score": 1.0, "text": "Journal Menu"}, {"category_id": 15, "poly": [140.0, 1045.0, 320.0, 1045.0, 320.0, 1072.0, 140.0, 1072.0], "score": 0.95, "text": " About this Journal \u00b7"}, {"category_id": 15, "poly": [138.0, 1069.0, 382.0, 1075.0, 381.0, 1109.0, 137.0, 1103.0], "score": 0.99, "text": "Abstracting and Indexing \u00b7"}, {"category_id": 15, "poly": [143.0, 1106.0, 310.0, 1106.0, 310.0, 1133.0, 143.0, 1133.0], "score": 0.99, "text": "Advance Access \u00b7"}, {"category_id": 15, 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Program in Engineering Science, Chung Hua University, Hsinchu 30012, Taiwan"}, {"category_id": 15, "poly": [86.0, 149.0, 962.0, 154.0, 962.0, 188.0, 86.0, 183.0], "score": 0.98, "text": "3Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan "}, {"category_id": 15, "poly": [91.0, 185.0, 1080.0, 185.0, 1080.0, 219.0, 91.0, 219.0], "score": 0.99, "text": "4Department of Computer Science and Engineering, National Sun Yat-sen University, Kaohsiung 80424, Taiwan"}, {"category_id": 15, "poly": [89.0, 239.0, 777.0, 239.0, 777.0, 270.0, 89.0, 270.0], "score": 1.0, "text": "Received 18 May 2013; Revised 26 August 2013; Accepted 29 August 2013"}, {"category_id": 15, "poly": [89.0, 287.0, 445.0, 290.0, 445.0, 324.0, 88.0, 322.0], "score": 0.98, "text": "Academic Editor: Rodrigo Lopez Pouso"}, {"category_id": 15, "poly": [89.0, 373.0, 876.0, 373.0, 876.0, 404.0, 89.0, 404.0], "score": 0.99, "text": "distribution, and reproduction in any medium, provided the original work is properly cited."}, {"category_id": 15, "poly": [91.0, 434.0, 280.0, 434.0, 280.0, 463.0, 91.0, 463.0], "score": 0.99, "text": "Linked References"}, {"category_id": 15, "poly": [116.0, 490.0, 1513.0, 490.0, 1513.0, 524.0, 116.0, 524.0], "score": 0.98, "text": "1. 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317.0, 1018.0, 351.0, 91.0, 351.0], "score": 0.98, "text": "unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited."}, {"category_id": 15, "poly": [91.0, 380.0, 280.0, 380.0, 280.0, 409.0, 91.0, 409.0], "score": 0.99, "text": "Linked References"}, {"category_id": 15, "poly": [116.0, 436.0, 1515.0, 436.0, 1515.0, 468.0, 116.0, 468.0], "score": 0.97, "text": "1. 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[91.0, 205.0, 849.0, 207.0, 849.0, 241.0, 91.0, 239.0], "score": 0.98, "text": "1School of Biomedical Engineering, Capital Medical University, Beijing 100069, China"}, {"category_id": 15, "poly": [86.0, 239.0, 871.0, 241.0, 871.0, 275.0, 86.0, 273.0], "score": 0.97, "text": "2Beijing Tongren Hospital Afflated to Capital Medical University, Bejing 100730, China"}, {"category_id": 15, "poly": [89.0, 295.0, 566.0, 295.0, 566.0, 326.0, 89.0, 326.0], "score": 1.0, "text": "Received 21 December 2012; Accepted 2 June 2013"}, {"category_id": 15, "poly": [89.0, 343.0, 396.0, 346.0, 396.0, 380.0, 88.0, 378.0], "score": 1.0, "text": "Academic Editor: Wenxiang Cong"}, {"category_id": 15, "poly": [89.0, 429.0, 765.0, 429.0, 765.0, 460.0, 89.0, 460.0], "score": 0.99, "text": "and reproduction in any medium, provided the original work is properly cited."}, {"category_id": 15, "poly": [93.0, 490.0, 180.0, 490.0, 180.0, 517.0, 93.0, 517.0], "score": 1.0, "text": "Abstract"}, {"category_id": 15, "poly": [89.0, 546.0, 1500.0, 546.0, 1500.0, 577.0, 89.0, 577.0], "score": 0.98, "text": "The tilt and decentration of intraocular lens (IOL) result in defocussing, astigmatism, and wavefront aberration after operation. The objective is to give a method to"}, {"category_id": 15, "poly": [89.0, 575.0, 1518.0, 575.0, 1518.0, 607.0, 89.0, 607.0], "score": 0.97, "text": "estimate the tit and decentration ofIOL more accurately. Based on AS-OCT images of twelve eyes fromeight cases with subluxation lens afer operation, we fitted"}, {"category_id": 15, "poly": [89.0, 604.0, 1552.0, 604.0, 1552.0, 636.0, 89.0, 636.0], "score": 0.98, "text": "spherical equation to the data obtained from the images of the anterior and posterior surfaces ofthe IOL. By the established relationship between IOL tit (decentration)"}, {"category_id": 15, "poly": [89.0, 633.0, 1557.0, 633.0, 1557.0, 665.0, 89.0, 665.0], "score": 0.98, "text": "and the scanned angle, at which a piece ofAS-OCT image was taken by the instrument, the IOL tilt and decentration were calculated. IOL tilt angle and decentration of"}, {"category_id": 15, "poly": [89.0, 663.0, 1550.0, 663.0, 1550.0, 694.0, 89.0, 694.0], "score": 0.97, "text": "each subject were given. Moreover, the horizontal and vertical tit was also obtained. Accordingly, the possible errors of IOL tilt and decentration existed in the method"}, {"category_id": 15, "poly": [89.0, 692.0, 1562.0, 692.0, 1562.0, 724.0, 89.0, 724.0], "score": 0.98, "text": "employed by AS-OCT instrument. Based on 6-12 pieces of AS-OCT images at different directions, the tilt angle and decentration values were shown, respectively. The"}, {"category_id": 15, "poly": [86.0, 719.0, 1530.0, 721.0, 1530.0, 755.0, 86.0, 753.0], "score": 0.97, "text": "method ofthe surface fitting to the IOL surface can accurately analyze the IOL's location, and six pieces of AS-OCT images at three pairs symmetrical directions are"}, {"category_id": 15, "poly": [89.0, 750.0, 694.0, 750.0, 694.0, 782.0, 89.0, 782.0], "score": 0.99, "text": "enough to get tilt angle and decentration value ofIOL more precisely."}, {"category_id": 15, "poly": [91.0, 811.0, 234.0, 811.0, 234.0, 838.0, 91.0, 838.0], "score": 1.0, "text": "1. Introduction"}, {"category_id": 15, "poly": [89.0, 867.0, 1528.0, 867.0, 1528.0, 899.0, 89.0, 899.0], "score": 0.99, "text": "The operations of congenital lens subluxation have mostly implanted posterior chamber intraocular lens (IOL) through scleral suture fixation or capsular tension ring to"}, {"category_id": 15, "poly": [89.0, 897.0, 1520.0, 897.0, 1520.0, 928.0, 89.0, 928.0], "score": 0.97, "text": "combine with the capsular bag Serious IOL dislocation has been controlled, but it is dificult to avoid the tilt and decentration ofIOL [1-3]. Therefore, to obtain the"}, {"category_id": 15, "poly": [89.0, 926.0, 1446.0, 926.0, 1446.0, 960.0, 89.0, 960.0], "score": 0.98, "text": "reliable tilt and decentration of IOL could play an important role in the evaluation of the diferent operation schemes and effective treatment of postoperative"}, {"category_id": 15, "poly": [91.0, 958.0, 216.0, 958.0, 216.0, 984.0, 91.0, 984.0], "score": 0.96, "text": "complications."}, {"category_id": 15, "poly": [86.0, 1004.0, 1503.0, 1006.0, 1503.0, 1040.0, 86.0, 1038.0], "score": 0.99, "text": " Utrasound biomicroscopy (UBM), Purkinje imaging system, anterior segment optical coherence tomography (AS-OCT), and Scheimpfug imaging system are the"}, {"category_id": 15, "poly": [91.0, 1038.0, 1540.0, 1038.0, 1540.0, 1072.0, 91.0, 1072.0], "score": 0.97, "text": "methods used for measurements ofthe IOL tit and decentration in clinical practice. The Purkinje imaging system is simple, but it depends on the radius of curvature of"}, {"category_id": 15, "poly": [89.0, 1067.0, 1557.0, 1067.0, 1557.0, 1099.0, 89.0, 1099.0], "score": 0.98, "text": "the IOL surfaces. The MI image by Purkinje meter can only show parts ofthe IOL anterior and posterior surfaces. This can have an efect on the radius of curvature and"}, {"category_id": 15, "poly": [89.0, 1094.0, 1505.0, 1094.0, 1505.0, 1128.0, 89.0, 1128.0], "score": 0.97, "text": "the results of IOL tilt and decentration [4Z]. By UBM, operators can clearly see whether the IOL has tit and decentration, but the tit and decentration cannot be"}, {"category_id": 15, "poly": [89.0, 1123.0, 1545.0, 1123.0, 1545.0, 1157.0, 89.0, 1157.0], "score": 0.97, "text": "directly measured. Moreover, it is a contact inspection method and the deformation ofthe eyeballextruded by water in bath cup may affect the measured results [8. 9]."}, {"category_id": 15, "poly": [86.0, 1150.0, 1557.0, 1150.0, 1557.0, 1191.0, 86.0, 1191.0], "score": 0.86, "text": "Scheinpfug ging system can rapidly btan the IL tit and deentraton vaes, but it require pupil dlation, which can case the deviation of th pupil cente. So, th"}, {"category_id": 15, "poly": [91.0, 1182.0, 1505.0, 1182.0, 1505.0, 1216.0, 91.0, 1216.0], "score": 0.98, "text": "IOL decentration measured by the system should be a distance between the IOL center and the nonreal pupil axis, thus the resut measured is not accurate and the"}, {"category_id": 15, "poly": [89.0, 1211.0, 394.0, 1211.0, 394.0, 1243.0, 89.0, 1243.0], "score": 0.95, "text": "method has limitations [6, 10-12]."}, {"category_id": 15, "poly": [91.0, 1262.0, 1550.0, 1262.0, 1550.0, 1296.0, 91.0, 1296.0], "score": 0.99, "text": "AS-OCT is a noninvasive and noncontact imaging method of measuring the IOL tit and decentration and has been widely used in clinical practice. AS-OCT instrument "}, {"category_id": 15, "poly": [89.0, 1291.0, 1518.0, 1291.0, 1518.0, 1325.0, 89.0, 1325.0], "score": 0.97, "text": "can scan the eyeballat the rotated axis which is the ine (called a baseline) passed through the anterior cornea center and the pupil center, and a lot of images canbe"}, {"category_id": 15, "poly": [89.0, 1321.0, 1555.0, 1321.0, 1555.0, 1355.0, 89.0, 1355.0], "score": 0.98, "text": "scanned by AS-OCT at every scanned angle [13, 14]. According to each piece of scanned images, the IOL tilt and decentration are given by AS-OCT instrument. The "}, {"category_id": 15, "poly": [91.0, 1350.0, 1560.0, 1350.0, 1560.0, 1384.0, 91.0, 1384.0], "score": 0.96, "text": "maximum value ofIOL tits and decentrations obtained from al the images are taken as the IOL tlt and decentration, respectively. In clinical practice, the IOL tit degree"}, {"category_id": 15, "poly": [89.0, 1379.0, 1483.0, 1379.0, 1483.0, 1411.0, 89.0, 1411.0], "score": 0.98, "text": "is an angle between the IOL optical axis and the baseline, and the IOL decentration value is the vertical distance from the IOL center to the baseline [6, 11, 15]."}, {"category_id": 15, "poly": [89.0, 1408.0, 1525.0, 1408.0, 1525.0, 1442.0, 89.0, 1442.0], "score": 0.98, "text": "Geometrically, the IOL tit and decentration are two values independent with images. However, we have found that the IOL tit and decentration values measured on"}, {"category_id": 15, "poly": [89.0, 1438.0, 1149.0, 1438.0, 1149.0, 1472.0, 89.0, 1472.0], "score": 0.98, "text": "different images at the same scanned angle were not the same. It is possible to result in errors of IOL tit and decentration."}, {"category_id": 15, "poly": [89.0, 1489.0, 1555.0, 1489.0, 1555.0, 1520.0, 89.0, 1520.0], "score": 0.99, "text": "Due to the fact that IOL surface is similar to the spherical [6, 16], we assumed anterior and posterior surfaces ofIOL to be spherical surfaces. The equations ofthe IOL"}, {"category_id": 15, "poly": [91.0, 1518.0, 1500.0, 1518.0, 1500.0, 1552.0, 91.0, 1552.0], "score": 0.98, "text": "anterior and posterior surfaces were calculated through the AS-OCT image registration and the surface ftting method, and then the IOL tit and decentration were"}, {"category_id": 15, "poly": [91.0, 1550.0, 184.0, 1550.0, 184.0, 1576.0, 91.0, 1576.0], "score": 1.0, "text": "calculated."}, {"category_id": 15, "poly": [86.0, 1608.0, 347.0, 1608.0, 347.0, 1640.0, 86.0, 1640.0], "score": 0.98, "text": " 2. Materials and Methods"}, {"category_id": 15, "poly": [86.0, 1664.0, 261.0, 1664.0, 261.0, 1698.0, 86.0, 1698.0], "score": 0.91, "text": " 2.1. Image Obtaining"}, {"category_id": 15, "poly": [89.0, 1723.0, 1552.0, 1723.0, 1552.0, 1757.0, 89.0, 1757.0], "score": 0.97, "text": "In this study, AS-OCT images of 12 eyes of 8 patients with congenital subluxation lens were provided by the Ophthalmic Research Center of Bejing, Tongren Hospital."}, {"category_id": 15, "poly": [91.0, 1930.0, 231.0, 1930.0, 231.0, 1956.0, 91.0, 1956.0], "score": 0.98, "text": "anterior surface."}, {"category_id": 15, "poly": [89.0, 1988.0, 278.0, 1988.0, 278.0, 2013.0, 89.0, 2013.0], "score": 0.99, "text": "2.2. Image Registration"}, {"category_id": 15, "poly": [89.0, 2042.0, 1560.0, 2042.0, 1560.0, 2076.0, 89.0, 2076.0], "score": 0.97, "text": "Because the center locations of the cormeal anterior surface may be different among images, we need to use image registration for al the images from each scanned angle."}, {"category_id": 15, "poly": [84.0, 2064.0, 1545.0, 2066.0, 1545.0, 2108.0, 84.0, 2105.0], "score": 0.88, "text": "The center ofthecorneal antrior sface is regarded as arefrence pont defndbyth ntersectiopont ofcomeal antrior suface and ppendicubisetorfte"}, {"category_id": 15, "poly": [91.0, 2100.0, 1560.0, 2100.0, 1560.0, 2134.0, 91.0, 2134.0], "score": 0.99, "text": "line joining scleral spurs, which is also regarded as reference line (Figure 1). Each picture can be made rigid transformation Figure 2 gives one piece ofregistered images."}, {"category_id": 15, "poly": [86.0, 2122.0, 1501.0, 2125.0, 1500.0, 2166.0, 86.0, 2164.0], "score": 0.89, "text": "Afer image transformation, the pixel values ofthe center ofthe coreal anteror surface n mage were read t verify the corectess and validity ofthe rgid body"}, {"category_id": 15, "poly": [86.0, 2156.0, 332.0, 2159.0, 332.0, 2193.0, 86.0, 2190.0], "score": 0.98, "text": " transformation image again."}, {"category_id": 15, "poly": [1102.0, 1752.0, 1451.0, 1752.0, 1451.0, 1786.0, 1102.0, 1786.0], "score": 0.99, "text": "Moreover, it has a scan speed of2000"}, {"category_id": 15, "poly": [91.0, 1752.0, 731.0, 1752.0, 731.0, 1786.0, 91.0, 1786.0], "score": 0.98, "text": "The system takes 2000 A scans per second and has an axial resolution of"}, {"category_id": 15, "poly": [793.0, 1752.0, 1037.0, 1752.0, 1037.0, 1786.0, 793.0, 1786.0], "score": 0.95, "text": "and transverse resolution of"}, {"category_id": 15, "poly": [233.0, 1810.0, 370.0, 1810.0, 370.0, 1844.0, 233.0, 1844.0], "score": 0.95, "text": "with periods of"}, {"category_id": 15, "poly": [406.0, 1810.0, 1107.0, 1810.0, 1107.0, 1844.0, 406.0, 1844.0], "score": 0.98, "text": ", Figure 1 shows a piece of these images. Image format is RGB and image size is"}, {"category_id": 15, "poly": [89.0, 397.0, 180.0, 397.0, 180.0, 431.0, 89.0, 431.0], "score": 1.0, "text": "Copyright"}, {"category_id": 15, "poly": [205.0, 397.0, 1535.0, 397.0, 1535.0, 431.0, 205.0, 431.0], "score": 0.98, "text": "2013 Lin Liet al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution,"}, {"category_id": 15, "poly": [91.0, 1779.0, 590.0, 1779.0, 590.0, 1813.0, 91.0, 1813.0], "score": 0.98, "text": "times/second, scan time of0.125 s/row and frame rate of"}, {"category_id": 15, "poly": [649.0, 1779.0, 1532.0, 1779.0, 1532.0, 1813.0, 649.0, 1813.0], "score": 0.99, "text": "[9, 13, 14, 17]. For each eyeball the AS-OCT instrument provides 2-3 pieces of images at a degree"}, {"category_id": 15, "poly": [89.0, 1810.0, 133.0, 1810.0, 133.0, 1844.0, 89.0, 1844.0], "score": 1.0, "text": "from"}, {"category_id": 15, "poly": [160.0, 1810.0, 184.0, 1810.0, 184.0, 1844.0, 160.0, 1844.0], "score": 1.0, "text": "to"}, {"category_id": 15, "poly": [89.0, 1898.0, 966.0, 1898.0, 966.0, 1930.0, 89.0, 1930.0], "score": 0.99, "text": "Figure 1: The AS-OCT image at 30 degrees scanned angle. Points A and B are scleral spurs. Point"}, {"category_id": 15, "poly": [986.0, 1898.0, 1555.0, 1898.0, 1555.0, 1930.0, 986.0, 1930.0], "score": 0.97, "text": "is the intersection point of perpendicular bisector (L) and corneal"}], "page_info": {"page_no": 1, "height": 2339, "width": 1653}}, {"layout_dets": [{"category_id": 1, "poly": [85.54791259765625, 1992.5283203125, 1562.2015380859375, 1992.5283203125, 1562.2015380859375, 2056.579345703125, 85.54791259765625, 2056.579345703125], "score": 0.9999997019767761}, {"category_id": 1, "poly": [87.99212646484375, 1732.5474853515625, 1526.8167724609375, 1732.5474853515625, 1526.8167724609375, 1821.6837158203125, 87.99212646484375, 1821.6837158203125], "score": 0.9999996423721313}, {"category_id": 1, "poly": [87.91651916503906, 1343.5950927734375, 1564.9542236328125, 1343.5950927734375, 1564.9542236328125, 1559.619140625, 87.91651916503906, 1559.619140625], "score": 0.9999995231628418}, {"category_id": 1, "poly": [88.61979675292969, 192.71449279785156, 1564.0771484375, 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{"category_id": 13, "poly": [370, 1529, 385, 1529, 385, 1552, 370, 1552], "score": 0.5, "latex": "d"}, {"category_id": 13, "poly": [1303, 1433, 1389, 1433, 1389, 1464, 1303, 1464], "score": 0.5, "latex": "\\dot{\\bf\\Phi}(\\alpha-\\rho)\\,d"}, {"category_id": 13, "poly": [1181, 1433, 1511, 1433, 1511, 1465, 1181, 1465], "score": 0.43, "latex": "d_{2}\\left(\\alpha\\right)=\\cos{\\stackrel{\\bullet}{\\left(\\alpha-\\rho\\right)}}\\,d.(5)\\;\\mathrm{{The\\;IOL}}"}, {"category_id": 13, "poly": [466, 324, 580, 324, 580, 345, 466, 345], "score": 0.43, "latex": "x\\ =x\\cos\\alpha"}, {"category_id": 13, "poly": [466, 313, 874, 313, 874, 348, 466, 348], "score": 0.43, "latex": "x^{'}=x\\cos\\alpha,~~~~~y^{'}=x\\sin\\alpha,~~~~~z^{'}=y,\\bar{(1)}"}, {"category_id": 13, "poly": [1101, 1350, 1147, 1350, 1147, 1377, 1101, 1377], "score": 0.42, "latex": "\\mathrm{{TOL},}"}, {"category_id": 13, "poly": [1024, 1380, 1071, 1380, 1071, 1405, 1024, 1405], "score": 0.41, "latex": "O,E"}, {"category_id": 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Collecting IOL Surface Data"}, {"category_id": 15, "poly": [89.0, 197.0, 1557.0, 197.0, 1557.0, 229.0, 89.0, 229.0], "score": 0.99, "text": "From each piece of AS-OCT images, we can obtain two-dimensional pixel coordinates of points of the IOL anterior and posterior surfaces. In order to obtain the three-"}, {"category_id": 15, "poly": [89.0, 227.0, 1557.0, 227.0, 1557.0, 261.0, 89.0, 261.0], "score": 0.98, "text": "dimensional coordinates of points of the IOL surface data, Cartesian coordinate system is needed. We set the horizontal direction (alar to zygomatic direction) parallel to"}, {"category_id": 15, "poly": [91.0, 329.0, 428.0, 329.0, 428.0, 361.0, 91.0, 361.0], "score": 0.98, "text": "relations between them are as follows:"}, {"category_id": 15, "poly": [91.0, 387.0, 642.0, 387.0, 642.0, 412.0, 91.0, 412.0], "score": 0.97, "text": "2.4.TheTilt and Decentration of IOL Calculated by GeometricMethod"}, {"category_id": 15, "poly": [686.0, 670.0, 713.0, 670.0, 713.0, 692.0, 686.0, 692.0], "score": 0.75, "text": "(2)"}, {"category_id": 15, "poly": [91.0, 816.0, 654.0, 816.0, 654.0, 848.0, 91.0, 848.0], "score": 0.98, "text": "Figure 3: The geometrical definition of IOL tilt and decentration"}, {"category_id": 15, "poly": [849.0, 936.0, 883.0, 936.0, 883.0, 965.0, 849.0, 965.0], "score": 0.98, "text": "(3)"}, {"category_id": 15, "poly": [89.0, 1014.0, 403.0, 1014.0, 403.0, 1045.0, 89.0, 1045.0], "score": 0.99, "text": "Decentration equation is as follows:"}, {"category_id": 15, "poly": [86.0, 1099.0, 571.0, 1101.0, 571.0, 1133.0, 86.0, 1130.0], "score": 0.97, "text": " 2.5. IOL Tilt Calculated When the Different Scanned Angles"}, {"category_id": 15, "poly": [89.0, 1157.0, 1557.0, 1157.0, 1557.0, 1189.0, 89.0, 1189.0], "score": 0.98, "text": "The IOL tilt and decentration at different scanned angles were calculated based on the equations ofthe IOL anterior and posterior surface. For the AS-OCT image with"}, {"category_id": 15, "poly": [1390.0, 1245.0, 1525.0, 1245.0, 1525.0, 1272.0, 1390.0, 1272.0], "score": 0.95, "text": "Apparently, as"}, {"category_id": 15, "poly": [86.0, 1615.0, 831.0, 1618.0, 831.0, 1652.0, 86.0, 1649.0], "score": 0.98, "text": " Figure 4: The projection of IOL center point in the plane at different scanned angles."}, {"category_id": 15, "poly": [89.0, 1679.0, 192.0, 1679.0, 192.0, 1706.0, 89.0, 1706.0], "score": 0.99, "text": "3. Results"}, {"category_id": 15, "poly": [89.0, 1737.0, 1520.0, 1737.0, 1520.0, 1771.0, 89.0, 1771.0], "score": 0.96, "text": "Figure 5 shows the IOL ftting surface of case 11. Table 1 gives the IOL tilt and decentration calculated by the surface fitting approach and their values given by AS-"}, {"category_id": 15, "poly": [89.0, 1796.0, 723.0, 1796.0, 723.0, 1827.0, 89.0, 1827.0], "score": 0.99, "text": "shown in the ninth-tenth colum of Table 1, was between 0.85 and 0.97."}, {"category_id": 15, "poly": [89.0, 1878.0, 792.0, 1881.0, 792.0, 1915.0, 89.0, 1913.0], "score": 0.97, "text": "Table 1: The IOL tilt and decentration obtained by the method of surface ftting."}, {"category_id": 15, "poly": [91.0, 1947.0, 1001.0, 1947.0, 1001.0, 1978.0, 91.0, 1978.0], "score": 0.98, "text": "Figure 5: The image of IOL fiting surface and intersection of the anterior and posterior surfaces of IOL."}, {"category_id": 15, "poly": [89.0, 2030.0, 1471.0, 2030.0, 1471.0, 2061.0, 89.0, 2061.0], "score": 0.96, "text": "respect to the change of scanned angle. But the data provided by As-OCT instrument oscillates with a small amplitude. It definitely affects the estimation of tlt."}, {"category_id": 15, "poly": [91.0, 2115.0, 986.0, 2115.0, 986.0, 2147.0, 91.0, 2147.0], "score": 0.98, "text": "Figure 6: The relation with IOL tits by the method of surface fitting and AS-OCT and scanned angles."}, {"category_id": 15, "poly": [89.0, 2166.0, 1525.0, 2166.0, 1525.0, 2198.0, 89.0, 2198.0], "score": 0.98, "text": "Figure 7 gives data of the decentration calculated by the method of surface fitting and provided by AS-OCT instrument for case 12. It is shown that the trend oftwo"}, {"category_id": 15, "poly": [91.0, 2195.0, 1550.0, 2195.0, 1550.0, 2227.0, 91.0, 2227.0], "score": 0.97, "text": "curves is inconsistent with respect to the change of scanned angle. But the data provided by AS-OCT instrument oscillates with a large amplitude. According to formula"}, {"category_id": 15, "poly": [992.0, 1442.0, 1154.0, 1442.0, 1154.0, 1476.0, 992.0, 1476.0], "score": 0.97, "text": ", can be obtained"}, {"category_id": 15, "poly": [91.0, 2224.0, 271.0, 2224.0, 271.0, 2259.0, 91.0, 2259.0], "score": 0.99, "text": "(5), the decentration"}, {"category_id": 15, "poly": [328.0, 2224.0, 1080.0, 2224.0, 1080.0, 2259.0, 328.0, 2259.0], "score": 0.98, "text": " changes in accordance with cosine approximately. Clearly, the change of decentration"}, {"category_id": 15, "poly": [1137.0, 2224.0, 1555.0, 2224.0, 1555.0, 2259.0, 1137.0, 2259.0], "score": 0.97, "text": "calculated by our method is in accordance with"}, {"category_id": 15, "poly": [1021.0, 1269.0, 1557.0, 1267.0, 1557.0, 1301.0, 1021.0, 1304.0], "score": 0.97, "text": "is a maxima, which is exactly equal to tit. Therefore, the tilt ("}, {"category_id": 15, "poly": [697.0, 1269.0, 963.0, 1267.0, 963.0, 1301.0, 697.0, 1304.0], "score": 0.97, "text": "attains its minimum value, and"}, {"category_id": 15, "poly": [89.0, 1498.0, 201.0, 1501.0, 201.0, 1535.0, 89.0, 1533.0], "score": 0.98, "text": "decentration"}, {"category_id": 15, "poly": [91.0, 1472.0, 201.0, 1472.0, 201.0, 1506.0, 91.0, 1506.0], "score": 1.0, "text": "decentration"}, {"category_id": 15, "poly": [89.0, 290.0, 942.0, 290.0, 942.0, 322.0, 89.0, 322.0], "score": 0.99, "text": "surface is as the origin of coordinates. Assuming that the two-dimensional coordinate of point A is"}, {"category_id": 15, "poly": [999.0, 290.0, 1493.0, 290.0, 1493.0, 322.0, 999.0, 322.0], "score": 0.97, "text": ", and the three-dimensional coordinate is (x y ,z \uff09, the"}, {"category_id": 15, "poly": [451.0, 1269.0, 467.0, 1267.0, 467.0, 1301.0, 451.0, 1304.0], "score": 0.77, "text": "\uff0c"}, {"category_id": 15, "poly": [1203.0, 1408.0, 1476.0, 1406.0, 1476.0, 1440.0, 1203.0, 1442.0], "score": 0.95, "text": ", and the equation of line OE is"}, {"category_id": 15, "poly": [631.0, 1243.0, 809.0, 1243.0, 809.0, 1274.0, 631.0, 1274.0], "score": 0.98, "text": ", from the following:"}, {"category_id": 15, "poly": [706.0, 1043.0, 826.0, 1043.0, 826.0, 1077.0, 706.0, 1077.0], "score": 0.96, "text": ", respectively."}, {"category_id": 15, "poly": [434.0, 1998.0, 1560.0, 1998.0, 1560.0, 2032.0, 434.0, 2032.0], "score": 0.97, "text": " defined by formula (4) and provided by AS-OCT instrument for case 12. It is found that the trend oftwo curves is identical with"}, {"category_id": 15, "poly": [91.0, 443.0, 918.0, 443.0, 918.0, 475.0, 91.0, 475.0], "score": 0.97, "text": "From Figure 3, 0, known as tilt of IOL, is an angle between visual axis and optical axis of IOL."}, {"category_id": 15, "poly": [938.0, 443.0, 1535.0, 443.0, 1535.0, 475.0, 938.0, 475.0], "score": 0.97, "text": ", defined as tit at the horizontal direction, is an angle between optical"}, {"category_id": 15, "poly": [89.0, 1043.0, 620.0, 1043.0, 620.0, 1077.0, 89.0, 1077.0], "score": 0.98, "text": "ofthe fied IOL anterior and posterior surface with radius of"}, {"category_id": 15, "poly": [645.0, 1043.0, 683.0, 1043.0, 683.0, 1077.0, 645.0, 1077.0], "score": 1.0, "text": "and"}, {"category_id": 15, "poly": [1082.0, 1408.0, 1093.0, 1406.0, 1093.0, 1440.0, 1082.0, 1442.0], "score": 0.7, "text": "\uff0c"}, {"category_id": 15, "poly": [950.0, 314.0, 1215.0, 322.0, 1215.0, 363.0, 950.0, 356.0], "score": 0.95, "text": "is scanned angle of AS-OCT."}, {"category_id": 15, "poly": [84.0, 1759.0, 1480.0, 1762.0, 1480.0, 1803.0, 84.0, 1801.0], "score": 0.94, "text": "OCT instrument. The eighth coummn of Table 1 gives the diameter ofIOL computed by the method of surface fiting The goodness-oft (corelation coeficient"}, {"category_id": 15, "poly": [1510.0, 1759.0, 1525.0, 1762.0, 1525.0, 1803.0, 1510.0, 1801.0], "score": 0.73, "text": "\uff0c"}, {"category_id": 15, "poly": [259.0, 1498.0, 876.0, 1501.0, 876.0, 1535.0, 259.0, 1533.0], "score": 0.97, "text": "calculated from all of different scanmned angle images. If there is a tit of"}, {"category_id": 15, "poly": [202.0, 1442.0, 935.0, 1442.0, 935.0, 1476.0, 202.0, 1476.0], "score": 0.97, "text": ", for the AS-OCT image with scanned angle of \u03b1, the IOL decentration, denoted by"}, {"category_id": 15, "poly": [89.0, 1352.0, 723.0, 1352.0, 723.0, 1386.0, 89.0, 1386.0], "score": 0.99, "text": "For a piece of AS-OCT image with scanned angle of\u03b1 (Figure 4), point"}, {"category_id": 15, "poly": [89.0, 587.0, 232.0, 587.0, 232.0, 621.0, 89.0, 621.0], "score": 0.97, "text": "axis ofIOL and"}, {"category_id": 15, "poly": [89.0, 1381.0, 578.0, 1381.0, 578.0, 1413.0, 89.0, 1413.0], "score": 0.99, "text": "center ofIOL on XOY plane (coordinate plane, Figure"}, {"category_id": 15, "poly": [871.0, 314.0, 932.0, 322.0, 932.0, 363.0, 871.0, 356.0], "score": 0.99, "text": "where"}, {"category_id": 15, "poly": [1136.0, 1381.0, 1550.0, 1381.0, 1550.0, 1413.0, 1136.0, 1413.0], "score": 0.97, "text": "were the same one. The length of segment OF"}, {"category_id": 15, "poly": [254.0, 587.0, 303.0, 587.0, 303.0, 621.0, 254.0, 621.0], "score": 0.94, "text": "-axis."}, {"category_id": 15, "poly": [321.0, 587.0, 1316.0, 587.0, 1316.0, 621.0, 321.0, 621.0], "score": 0.97, "text": ". defined as tit at vertical direction, is an angle between optical axis ofIOL and Y axis, and we know the folowing"}, {"category_id": 15, "poly": [924.0, 1498.0, 1010.0, 1501.0, 1010.0, 1535.0, 924.0, 1533.0], "score": 1.0, "text": "segments"}, {"category_id": 15, "poly": [1046.0, 1498.0, 1505.0, 1501.0, 1505.0, 1535.0, 1046.0, 1533.0], "score": 0.97, "text": "and OE are nearly orthogonal; then the maximum of"}, {"category_id": 15, "poly": [259.0, 1472.0, 679.0, 1472.0, 679.0, 1506.0, 259.0, 1506.0], "score": 0.96, "text": "attains is maximum value, the IOL decentration"}, {"category_id": 15, "poly": [696.0, 1472.0, 833.0, 1472.0, 833.0, 1506.0, 696.0, 1506.0], "score": 1.0, "text": ", as long as cos"}, {"category_id": 15, "poly": [1167.0, 256.0, 1510.0, 256.0, 1510.0, 288.0, 1167.0, 288.0], "score": 0.98, "text": "axis. The center ofthe corneal anterior"}, {"category_id": 15, "poly": [879.0, 1408.0, 971.0, 1406.0, 971.0, 1440.0, 879.0, 1442.0], "score": 0.96, "text": ". Defining."}, {"category_id": 15, "poly": [89.0, 1530.0, 369.0, 1530.0, 369.0, 1562.0, 89.0, 1562.0], "score": 1.0, "text": "is close to the IOL decentration"}, {"category_id": 15, "poly": [1390.0, 1430.0, 1511.0, 1435.0, 1510.0, 1477.0, 1390.0, 1471.0], "score": 1.0, "text": "(5) The IOL"}, {"category_id": 15, "poly": [743.0, 1352.0, 1100.0, 1352.0, 1100.0, 1386.0, 743.0, 1386.0], "score": 0.97, "text": "is the projection point of image center of"}, {"category_id": 15, "poly": [1148.0, 1352.0, 1515.0, 1352.0, 1515.0, 1386.0, 1148.0, 1386.0], "score": 0.97, "text": " and point F is the projection point of real"}, {"category_id": 15, "poly": [600.0, 1381.0, 1023.0, 1381.0, 1023.0, 1413.0, 600.0, 1413.0], "score": 0.98, "text": ". Ifthere were not any decentration, three points"}, {"category_id": 15, "poly": [86.0, 1408.0, 405.0, 1406.0, 405.0, 1440.0, 86.0, 1442.0], "score": 0.98, "text": "is the IOL decentration, denoted by"}, {"category_id": 15, "poly": [423.0, 1408.0, 782.0, 1406.0, 782.0, 1440.0, 423.0, 1442.0], "score": 0.95, "text": ". Ifthere were not any IOL tilt, we know"}, {"category_id": 15, "poly": [944.0, 1472.0, 1237.0, 1472.0, 1237.0, 1506.0, 944.0, 1506.0], "score": 0.97, "text": ". Therefore, the IOL decentration"}, {"category_id": 15, "poly": [1256.0, 1472.0, 1473.0, 1472.0, 1473.0, 1506.0, 1256.0, 1506.0], "score": 0.99, "text": "is the maximum value of"}, {"category_id": 15, "poly": [91.0, 1243.0, 239.0, 1243.0, 239.0, 1274.0, 91.0, 1274.0], "score": 0.99, "text": "scanned angle of"}, {"category_id": 15, "poly": [255.0, 1243.0, 581.0, 1243.0, 581.0, 1274.0, 255.0, 1274.0], "score": 0.96, "text": ", one can get the IOL tilt, denoted by"}, {"category_id": 15, "poly": [91.0, 1998.0, 148.0, 1998.0, 148.0, 2032.0, 91.0, 2032.0], "score": 1.0, "text": "Figure"}, {"category_id": 15, "poly": [167.0, 1998.0, 383.0, 1998.0, 383.0, 2032.0, 167.0, 2032.0], "score": 0.93, "text": "gives the graph of the tilt"}, {"category_id": 15, "poly": [105.0, 1301.0, 863.0, 1301.0, 863.0, 1333.0, 105.0, 1333.0], "score": 0.96, "text": ") should take the maximum value from the tits calculated at the different scanned angles."}, {"category_id": 15, "poly": [112.0, 256.0, 797.0, 256.0, 797.0, 288.0, 112.0, 288.0], "score": 0.99, "text": "axis, the vertical direction (nasal bone to the jaw bone direction) parallel to the"}, {"category_id": 15, "poly": [820.0, 256.0, 1144.0, 256.0, 1144.0, 288.0, 820.0, 288.0], "score": 0.99, "text": "axis, and the ocular axial is set as the"}, {"category_id": 15, "poly": [1073.0, 1381.0, 1117.0, 1381.0, 1117.0, 1413.0, 1073.0, 1413.0], "score": 0.9, "text": ", and"}], "page_info": {"page_no": 2, "height": 2339, "width": 1653}}, {"layout_dets": [{"category_id": 1, "poly": [92.0838623046875, 1900.6451416015625, 559.0983276367188, 1900.6451416015625, 559.0983276367188, 1928.751220703125, 92.0838623046875, 1928.751220703125], "score": 0.9999998807907104}, {"category_id": 1, "poly": [91.62836456298828, 851.543701171875, 1564.9864501953125, 851.543701171875, 1564.9864501953125, 967.3631591796875, 91.62836456298828, 967.3631591796875], "score": 0.9999996423721313}, {"category_id": 1, "poly": [92.05652618408203, 215.79888916015625, 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"0.06\\,\\mathrm{mm}\\mathrm{-}0.51\\,\\mathrm{mm})"}, {"category_id": 13, "poly": [1031, 912, 1181, 912, 1181, 938, 1031, 938], "score": 0.8, "latex": "1.09\\pm0.65\\;\\mathrm{mm})"}, {"category_id": 13, "poly": [1289, 1051, 1338, 1051, 1338, 1079, 1289, 1079], "score": 0.79, "latex": "\\dot{\\mathbf{\\omega}}\\omega(\\alpha)"}, {"category_id": 13, "poly": [435, 573, 477, 573, 477, 603, 435, 603], "score": 0.78, "latex": "(R^{2})"}, {"category_id": 13, "poly": [1025, 1335, 1111, 1335, 1111, 1363, 1025, 1363], "score": 0.71, "latex": "0.05\\,\\mathrm{mm},"}, {"category_id": 13, "poly": [158, 1027, 174, 1027, 174, 1046, 158, 1046], "score": 0.64, "latex": "\\alpha"}, {"category_id": 13, "poly": [420, 1082, 437, 1082, 437, 1107, 420, 1107], "score": 0.49, "latex": "\\underline{{6}}"}, {"category_id": 13, "poly": [1029, 1307, 1046, 1307, 1046, 1333, 1029, 1333], "score": 0.26, "latex": "\\underline{{3}}"}, {"category_id": 15, "poly": [89.0, 168.0, 1065.0, 168.0, 1065.0, 200.0, 89.0, 200.0], "score": 0.98, "text": "Figure 7: The relation with IOL decentration by the method of surface fitting and AS-OCT and scanned angles."}, {"category_id": 15, "poly": [91.0, 219.0, 1562.0, 219.0, 1562.0, 253.0, 91.0, 253.0], "score": 0.97, "text": "Table 2 gives the results ofthe IOL tilt and decentration of three cases by two methods in different scanned angles (The \u201c' shown in the Table 2 means that this data is"}, {"category_id": 15, "poly": [91.0, 249.0, 1528.0, 249.0, 1528.0, 283.0, 91.0, 283.0], "score": 0.97, "text": "not available). The resuts ofIOL tit and decentration shown in Table 3 were calculated by surface ftting method based on 6, 7, 8, 9, 10, and 11 pieces ofAS-OCT"}, {"category_id": 15, "poly": [91.0, 283.0, 268.0, 283.0, 268.0, 309.0, 91.0, 309.0], "score": 0.94, "text": "images, respectively."}, {"category_id": 15, "poly": [89.0, 363.0, 861.0, 366.0, 861.0, 400.0, 89.0, 397.0], "score": 0.97, "text": "Table 2: IOL decentration and tit obtained from the image with different scanned angle."}, {"category_id": 15, "poly": [89.0, 426.0, 1225.0, 429.0, 1225.0, 463.0, 89.0, 460.0], "score": 0.97, "text": "Table 3: IOL tilt and decentration calculated by surface ftting method based on 6, 7, 8, 9, 10, and 11 pieces of AS-OCT images."}, {"category_id": 15, "poly": [87.0, 482.0, 224.0, 488.0, 223.0, 522.0, 86.0, 516.0], "score": 1.0, "text": "4. Discussion"}, {"category_id": 15, "poly": [89.0, 541.0, 1508.0, 543.0, 1508.0, 585.0, 89.0, 582.0], "score": 0.77, "text": "According tCes, tILtitadderation we calculatd bycolletingdatafI sface and shercal fting to te dta ofIL aeror ad"}, {"category_id": 15, "poly": [91.0, 629.0, 1503.0, 629.0, 1503.0, 663.0, 91.0, 663.0], "score": 0.97, "text": "Korynta et al [18] showed that the drif and oblique astigmatism can be caused by the IOL decentration being more than 1 mm and the IOL tit being more than 5"}, {"category_id": 15, "poly": [86.0, 653.0, 1547.0, 653.0, 1547.0, 694.0, 86.0, 694.0], "score": 0.89, "text": "degres Inour results, the decentration ofone ee was greater than mmand the tits of3 eyes were greater than 5 degrees. The IL tit and decentrationfthe othr"}, {"category_id": 15, "poly": [89.0, 687.0, 1540.0, 687.0, 1540.0, 721.0, 89.0, 721.0], "score": 0.96, "text": "8 eyes basically were within the normal range given by Korynta. It is noticed that most ofthe cases used in this study are successful in operations. This verified that our"}, {"category_id": 15, "poly": [89.0, 746.0, 1537.0, 746.0, 1537.0, 780.0, 89.0, 780.0], "score": 0.98, "text": "optical diameter obtained in this study was basicall in this range (Table 1). We noticed that the calculated IOL diameters are slightly larger than those provided by the"}, {"category_id": 15, "poly": [89.0, 775.0, 1535.0, 772.0, 1535.0, 806.0, 89.0, 809.0], "score": 0.97, "text": "manufacturer. The reason is that the edge ofIOL was made with a smooth and certain thickness shape, but we have not taken into account this issue in the calculation"}, {"category_id": 15, "poly": [86.0, 804.0, 187.0, 804.0, 187.0, 838.0, 86.0, 838.0], "score": 0.97, "text": "(Figure Z)."}, {"category_id": 15, "poly": [91.0, 855.0, 1469.0, 855.0, 1469.0, 887.0, 91.0, 887.0], "score": 0.97, "text": "The results oftilt calculated by surface ftting (Table 1, 1.76-7.52 degrees) were higher than those of Dhivya's study (0.04-3.6 degrees) [19]. Besides sample"}, {"category_id": 15, "poly": [91.0, 884.0, 1562.0, 884.0, 1562.0, 919.0, 91.0, 919.0], "score": 0.97, "text": "differences, the main reason is that the maximum value obtained from the four images (0 degrees, 90 degrees, 45 degrees, and 135 degrees [19]) is possibly less than the"}, {"category_id": 15, "poly": [86.0, 1138.0, 1523.0, 1138.0, 1523.0, 1179.0, 86.0, 1179.0], "score": 0.92, "text": "elninated byregistrationof images at diferent scanned directions and selecting as many as possibl pixel ponts to a certan extent So, the IL tit and decentration"}, {"category_id": 15, "poly": [86.0, 1167.0, 586.0, 1170.0, 585.0, 1204.0, 86.0, 1201.0], "score": 0.97, "text": " calculated with the method of surface fitting are accurate."}, {"category_id": 15, "poly": [89.0, 1221.0, 1540.0, 1221.0, 1540.0, 1255.0, 89.0, 1255.0], "score": 0.97, "text": "In order to reduce the pressure ofclinical work, it is very significant to provide the method for calculating the more accurate tilt and decentration ofIOL and saving the"}, {"category_id": 15, "poly": [91.0, 1250.0, 1545.0, 1250.0, 1545.0, 1284.0, 91.0, 1284.0], "score": 0.98, "text": "workload. Table 3 gives the results of IOL tilt and decentration calculated with 11, 10, 9, 8, 7, 6 AS-OCT images, respectively by the method. This problem is one of"}, {"category_id": 15, "poly": [89.0, 1279.0, 1557.0, 1279.0, 1557.0, 1313.0, 89.0, 1313.0], "score": 0.98, "text": "innovations of this study. Although the number of images used to obtain IOL tilt and decentration are 2 (90 degrees and 180 degrees) [6, 15], 4 (0 degrees, 45 degrees,"}, {"category_id": 15, "poly": [89.0, 1367.0, 1427.0, 1367.0, 1427.0, 1401.0, 89.0, 1401.0], "score": 0.98, "text": "practice. It is suggested that the method can calculate the more accurate tit and decentration of IOL with scanned angles at the six symmetrical directions."}, {"category_id": 15, "poly": [89.0, 1418.0, 1555.0, 1418.0, 1555.0, 1452.0, 89.0, 1452.0], "score": 0.98, "text": "The IOL tit measured by AS-COT instrument is the angle between the IOL optical axis and the ine joining the centers ofthe anterior cornea and the pupil Our method"}, {"category_id": 15, "poly": [91.0, 1447.0, 1518.0, 1447.0, 1518.0, 1481.0, 91.0, 1481.0], "score": 0.95, "text": "can not only give the IOL tilt, but aso the tilt at the horizontal direction and the tit at the verticaldirection To the knowldge ofthe authors, it has not been reported"}, {"category_id": 15, "poly": [91.0, 1476.0, 1528.0, 1476.0, 1528.0, 1511.0, 91.0, 1511.0], "score": 0.97, "text": "whether the horizontal and vertical angles can affect the recovery of vision and optical imaging quality. This may be related to the current methods in clinic leaving two"}, {"category_id": 15, "poly": [89.0, 1506.0, 1409.0, 1506.0, 1409.0, 1540.0, 89.0, 1540.0], "score": 0.97, "text": "angles unknown. Therefore, it should be studied that whether the horizontal and vertical angles have an impact on visual acuity and visual efect in future."}, {"category_id": 15, "poly": [91.0, 1557.0, 1537.0, 1557.0, 1537.0, 1591.0, 91.0, 1591.0], "score": 0.97, "text": "This study is limited in the follwing: because IOL was covered by ris and opaque tissues, the middle part ofIOL is only displayed in the image, and the point near the"}, {"category_id": 15, "poly": [91.0, 1586.0, 1532.0, 1586.0, 1532.0, 1618.0, 91.0, 1618.0], "score": 0.97, "text": "IOL boundary cannot be obtained. In addition, artificial selection and obtaining pixel coordinates will bring the errors. This will affect the similarity ofthe fitting surface"}, {"category_id": 15, "poly": [91.0, 1615.0, 1532.0, 1615.0, 1532.0, 1649.0, 91.0, 1649.0], "score": 0.96, "text": "and the actual IOL surface. Therefore, it should be studied that the method can reduce errors in collcting data for improving the ftting goodness in future. In addiion,"}, {"category_id": 15, "poly": [89.0, 1645.0, 1513.0, 1645.0, 1513.0, 1679.0, 89.0, 1679.0], "score": 0.96, "text": "this study assumed that the IOL surface was spherical. But the aspheric surface cannot be thought about. It is hoped that the IOL suface can be calculated with the"}, {"category_id": 15, "poly": [89.0, 1674.0, 1564.0, 1674.0, 1564.0, 1708.0, 89.0, 1708.0], "score": 0.98, "text": "method of aspheric ftting in future. Moreover, compared with two methods of spherical and aspheric ftting, the results calculated with two methods can be more close to"}, {"category_id": 15, "poly": [89.0, 1703.0, 305.0, 1703.0, 305.0, 1735.0, 89.0, 1735.0], "score": 0.99, "text": "the real values in clinical"}, {"category_id": 15, "poly": [89.0, 1752.0, 1555.0, 1754.0, 1555.0, 1788.0, 89.0, 1786.0], "score": 0.97, "text": "In conclusion, the method ofthe surface ftting to the IOL surface can accurately analyze the IOL's location, and six piece of AS-OCT images at three pairs symmetrical"}, {"category_id": 15, "poly": [89.0, 1786.0, 814.0, 1786.0, 814.0, 1818.0, 89.0, 1818.0], "score": 0.97, "text": "directions are enough to get ilt angle and decentration value of IOL more precisely."}, {"category_id": 15, "poly": [91.0, 1844.0, 307.0, 1844.0, 307.0, 1876.0, 91.0, 1876.0], "score": 0.98, "text": "Authors\u2019 Contribution"}, {"category_id": 15, "poly": [89.0, 1903.0, 558.0, 1903.0, 558.0, 1935.0, 89.0, 1935.0], "score": 0.99, "text": "Lin Li and Ke Wang contributed equally to this work."}, {"category_id": 15, "poly": [93.0, 1966.0, 266.0, 1966.0, 266.0, 1993.0, 93.0, 1993.0], "score": 0.92, "text": "Acknowle dgme nts"}, {"category_id": 15, "poly": [91.0, 2020.0, 1520.0, 2020.0, 1520.0, 2054.0, 91.0, 2054.0], "score": 0.98, "text": "This work was financially supported by the National Natural Science Foundation ofChina (no. 31070840), the Beijing Natural Science Foundation (3122010), and"}, {"category_id": 15, "poly": [89.0, 2051.0, 1038.0, 2051.0, 1038.0, 2083.0, 89.0, 2083.0], "score": 0.98, "text": "Bejing Leading Academic Discipline Project of Bejing Municipal education Commission (PHR201110506)."}, {"category_id": 15, "poly": [87.0, 2105.0, 207.0, 2110.0, 205.0, 2145.0, 86.0, 2139.0], "score": 1.0, "text": "References"}, {"category_id": 15, "poly": [116.0, 2168.0, 1520.0, 2168.0, 1520.0, 2203.0, 116.0, 2203.0], "score": 0.96, "text": "1. M. Scherer, E. Bertelmann, and P. Rieck, \u201cLate spontaneous in-the-bag intraocular ens and capsular tension ring dislocation in pseudoexfoliation syndrome,\u201d\""}, {"category_id": 15, "poly": [145.0, 2198.0, 1427.0, 2198.0, 1427.0, 2232.0, 145.0, 2232.0], "score": 0.98, "text": "Journal of Cataract and Refractive Surgery, vol. 32, no. 4, pp. 672-675, 2006. View at Publisher \u00b7 View at Google Scholar View at Scopus"}, {"category_id": 15, "poly": [113.0, 2227.0, 1545.0, 2227.0, 1545.0, 2261.0, 113.0, 2261.0], "score": 0.98, "text": "2. H. Saedon, W. H. Chan, and R. Radford, \u201cAnterior dislocation ofa Morcher capsular tension ring\" Journal of Cataract and Refractive Surgery, vol. 37, no."}, {"category_id": 15, "poly": [1387.0, 994.0, 1550.0, 994.0, 1550.0, 1028.0, 1387.0, 1028.0], "score": 1.0, "text": "when the scanned"}, {"category_id": 15, "poly": [630.0, 1111.0, 1481.0, 1111.0, 1481.0, 1145.0, 630.0, 1145.0], "score": 0.98, "text": "calculated from each image could cause larger accumulation errors. In our method, the errors are"}, {"category_id": 15, "poly": [1436.0, 1053.0, 1552.0, 1053.0, 1552.0, 1087.0, 1436.0, 1087.0], "score": 0.97, "text": "among of all"}, {"category_id": 15, "poly": [91.0, 994.0, 857.0, 994.0, 857.0, 1028.0, 91.0, 1028.0], "score": 0.99, "text": "Assume that IOL anterior and posterior surfaces are spheres. We give the formula oftilt"}, {"category_id": 15, "poly": [908.0, 994.0, 1329.0, 994.0, 1329.0, 1028.0, 908.0, 1028.0], "score": 0.99, "text": " and the approximate expression of decentration"}, {"category_id": 15, "poly": [89.0, 1053.0, 113.0, 1053.0, 113.0, 1087.0, 89.0, 1087.0], "score": 1.0, "text": "tit"}, {"category_id": 15, "poly": [164.0, 1053.0, 317.0, 1053.0, 317.0, 1087.0, 164.0, 1087.0], "score": 0.96, "text": " and decentration"}, {"category_id": 15, "poly": [89.0, 1111.0, 369.0, 1111.0, 369.0, 1145.0, 89.0, 1145.0], "score": 0.98, "text": "errors are not eliminated, the tit"}, {"category_id": 15, "poly": [420.0, 1111.0, 573.0, 1111.0, 573.0, 1145.0, 420.0, 1145.0], "score": 0.97, "text": " and decentration"}, {"category_id": 15, "poly": [91.0, 914.0, 724.0, 914.0, 724.0, 948.0, 91.0, 948.0], "score": 0.96, "text": "IOL tilt (see, (4). Our results are consistent with those of Xue et al. (tilt,"}, {"category_id": 15, "poly": [89.0, 716.0, 1311.0, 711.0, 1311.0, 746.0, 89.0, 750.0], "score": 0.96, "text": "results were in accordance with results of the literatures and clinical In addition, optical diameter of the IOL provided by the manufacturer is"}, {"category_id": 15, "poly": [1445.0, 716.0, 1532.0, 711.0, 1533.0, 746.0, 1445.0, 750.0], "score": 1.0, "text": "The IOL"}, {"category_id": 15, "poly": [89.0, 943.0, 280.0, 943.0, 280.0, 977.0, 89.0, 977.0], "score": 1.0, "text": "degrees; decentration"}, {"category_id": 15, "poly": [456.0, 943.0, 1560.0, 943.0, 1560.0, 977.0, 456.0, 977.0], "score": 0.99, "text": "[21]. In fact, the IOL tit and decentration were possibly involved in the difference of individuals, surgeons, and measurements."}, {"category_id": 15, "poly": [835.0, 914.0, 1030.0, 914.0, 1030.0, 948.0, 835.0, 948.0], "score": 0.96, "text": "degrees; decentration"}, {"category_id": 15, "poly": [1182.0, 914.0, 1557.0, 914.0, 1557.0, 948.0, 1182.0, 948.0], "score": 0.99, "text": "[20] and Baumeister et al. (tilt, 0.91-6.83"}, {"category_id": 15, "poly": [374.0, 1053.0, 1288.0, 1053.0, 1288.0, 1087.0, 374.0, 1087.0], "score": 0.99, "text": ", respectively. However, the tilt and decentration given by AS-OCT instrument are the maximum value of"}, {"category_id": 15, "poly": [1339.0, 1053.0, 1378.0, 1053.0, 1378.0, 1087.0, 1339.0, 1087.0], "score": 1.0, "text": "and"}, {"category_id": 15, "poly": [89.0, 577.0, 434.0, 577.0, 434.0, 612.0, 89.0, 612.0], "score": 0.98, "text": "posterior surfaces. The goodness-of ft"}, {"category_id": 15, "poly": [478.0, 577.0, 713.0, 577.0, 713.0, 612.0, 478.0, 612.0], "score": 0.97, "text": "is between 0.85 and 0.97."}, {"category_id": 15, "poly": [91.0, 1338.0, 1024.0, 1338.0, 1024.0, 1372.0, 91.0, 1372.0], "score": 0.97, "text": "with the decreasing of the number of images. The tilt and decentration changed in the range of 1 degree and"}, {"category_id": 15, "poly": [1112.0, 1338.0, 1562.0, 1338.0, 1562.0, 1372.0, 1112.0, 1372.0], "score": 0.99, "text": "respectively. If the erors were neglected in clinical"}, {"category_id": 15, "poly": [89.0, 1023.0, 157.0, 1021.0, 157.0, 1055.0, 89.0, 1057.0], "score": 1.0, "text": "angle is"}, {"category_id": 15, "poly": [175.0, 1023.0, 1552.0, 1021.0, 1552.0, 1055.0, 175.0, 1057.0], "score": 0.98, "text": ". The two relationships display that both oftit and decentration continuously change in cosine law. The IOL tilt and decentration are the maximum values ofthe"}, {"category_id": 15, "poly": [89.0, 1082.0, 419.0, 1082.0, 419.0, 1116.0, 89.0, 1116.0], "score": 0.99, "text": "scanned images, respectively. Figures"}, {"category_id": 15, "poly": [438.0, 1082.0, 1550.0, 1082.0, 1550.0, 1116.0, 438.0, 1116.0], "score": 0.98, "text": "and 7 show that the errors oftit and decentration produced by AS-OCT are large. In fact, each image contains errors. Ifthese"}, {"category_id": 15, "poly": [89.0, 1308.0, 1028.0, 1308.0, 1028.0, 1342.0, 89.0, 1342.0], "score": 0.97, "text": "90 degrees, and 135 degrees) [19], and 5 (five diferent directions) [22], their results are not verified. Table"}, {"category_id": 15, "poly": [1047.0, 1308.0, 1545.0, 1308.0, 1545.0, 1342.0, 1047.0, 1342.0], "score": 0.96, "text": "shows that the IOL tilt and decentration become smaller "}], "page_info": {"page_no": 3, "height": 2339, "width": 1653}}, {"layout_dets": [{"category_id": 1, "poly": [104.5351791381836, 78.89070892333984, 1570.2327880859375, 78.89070892333984, 1570.2327880859375, 1424.9718017578125, 104.5351791381836, 1424.9718017578125], "score": 0.999968409538269}, {"category_id": 13, "poly": [786, 1189, 801, 1189, 801, 1203, 786, 1203], "score": 0.44, "latex": "\\cdot"}, {"category_id": 13, "poly": [804, 1130, 819, 1130, 819, 1145, 804, 1145], "score": 0.42, "latex": "\\cdot"}, {"category_id": 13, "poly": [743, 85, 757, 85, 757, 101, 743, 101], "score": 0.4, "latex": "\\cdot"}, {"category_id": 13, "poly": [1266, 259, 1280, 259, 1280, 274, 1266, 274], "score": 0.34, "latex": "\\cdot"}, {"category_id": 13, "poly": [1036, 259, 1051, 259, 1051, 274, 1036, 274], "score": 0.31, "latex": "\\cdot"}, {"category_id": 13, "poly": [961, 607, 974, 607, 974, 623, 961, 623], "score": 0.31, "latex": "\\cdot"}, {"category_id": 13, "poly": [743, 1071, 757, 1071, 757, 1087, 743, 1087], "score": 0.3, "latex": "\\cdot"}, {"category_id": 13, "poly": [513, 1071, 527, 1071, 527, 1087, 513, 1087], "score": 0.29, "latex": "\\cdot"}, {"category_id": 13, "poly": [959, 1304, 972, 1304, 972, 1319, 959, 1319], "score": 0.26, "latex": "\\cdot"}, {"category_id": 13, "poly": [514, 85, 527, 85, 527, 100, 514, 100], "score": 0.26, "latex": "\\cdot"}, {"category_id": 13, "poly": [1291, 1362, 1304, 1362, 1304, 1379, 1291, 1379], "score": 0.25, "latex": "\\cdot"}, {"category_id": 13, "poly": [875, 1013, 890, 1013, 890, 1029, 875, 1029], "score": 0.25, "latex": "\\cdot"}, {"category_id": 15, "poly": [116.0, 107.0, 1503.0, 107.0, 1503.0, 141.0, 116.0, 141.0], "score": 0.96, "text": "3. 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Stachura, \u201cUniform convexity ofthe hyperbolic metric and fixed points ofholomorphic mappings in the Hibert ball\" Nonlinear"}, {"category_id": 15, "poly": [143.0, 1250.0, 335.0, 1255.0, 334.0, 1289.0, 142.0, 1284.0], "score": 0.98, "text": "View at MathSciNet"}, {"category_id": 15, "poly": [103.0, 1284.0, 1508.0, 1284.0, 1508.0, 1318.0, 103.0, 1318.0], "score": 0.98, "text": "18. W. A. Kirk, \u201cFixed point theorems in CAT(0) spaces and R-trees,\" Fixed Point Theory and Applications, no. 4, pp. 309-316, 2004. View at Publisher "}, {"category_id": 15, "poly": [108.0, 1347.0, 150.0, 1347.0, 150.0, 1367.0, 108.0, 1367.0], "score": 1.0, "text": "19."}, {"category_id": 15, "poly": [138.0, 1338.0, 1552.0, 1343.0, 1552.0, 1377.0, 138.0, 1372.0], "score": 0.97, "text": "N. Hussain and M. A. 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Kirk, \"Asymptotic pointwise contractions, plenary lecture,\u201d in Proceedings of the 8th International Conference on Fixed Point Theory and Its"}, {"category_id": 15, "poly": [148.0, 1486.0, 873.0, 1486.0, 873.0, 1520.0, 148.0, 1520.0], "score": 0.97, "text": "Applications, pp. 16-22, ChiangMai University, Chiang Mai, Thailand, July 2007."}, {"category_id": 15, "poly": [145.0, 1545.0, 1055.0, 1545.0, 1055.0, 1579.0, 145.0, 1579.0], "score": 0.97, "text": " 2008. View at Publisher View at Google Scholar : View at Zentralblatt MATH : View at MathSciNet"}, {"category_id": 15, "poly": [101.0, 1572.0, 1547.0, 1572.0, 1547.0, 1606.0, 101.0, 1606.0], "score": 0.98, "text": " 23. J.-P. Penot, \u201cFixed point theorems without convexity,\u201d Memoires de la Societe Mathematique de France, vol. 60, pp. 129-152, 1979, Analyse non convexe."}, {"category_id": 15, "poly": [98.0, 1625.0, 1520.0, 1628.0, 1520.0, 1669.0, 98.0, 1667.0], "score": 0.93, "text": "24. W. A. 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Khamsi, \u201cOn the fixed points of nonexpansive maps in modular metric spaces,\" Preprint."}, {"category_id": 15, "poly": [98.0, 2003.0, 1454.0, 2005.0, 1454.0, 2047.0, 98.0, 2044.0], "score": 0.94, "text": " 31. J. B. Baillon, Nonexpansive mappings and hyperconvex spaces,\u201d Contemporary Mathematics, vol. 72, pp. 11-19, 1988. View at Google Scholar"}, {"category_id": 15, "poly": [89.0, 236.0, 180.0, 236.0, 180.0, 270.0, 89.0, 270.0], "score": 1.0, "text": "Copyright"}, {"category_id": 15, "poly": [205.0, 236.0, 1508.0, 236.0, 1508.0, 270.0, 205.0, 270.0], "score": 0.98, "text": "2013 Afrah A. N. Abdou. This is an open access article distributed under the Creative Commons Atribution License, which permits unrestricted use,"}, {"category_id": 15, "poly": [974.0, 470.0, 1161.0, 470.0, 1161.0, 504.0, 974.0, 504.0], "score": 0.97, "text": "View at MathSciNet"}, {"category_id": 15, "poly": [148.0, 1367.0, 547.0, 1367.0, 547.0, 1401.0, 148.0, 1401.0], "score": 0.98, "text": "10, pp. 4423-4429, 2009. 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"2Faculty of Sciences, Manipal University Jaipur, Jaipur 302007, India"}, {"category_id": 15, "poly": [89.0, 205.0, 804.0, 207.0, 804.0, 241.0, 89.0, 239.0], "score": 0.99, "text": "3Department of Pure & Applied Physics, University of Kota, Kota 324010, India"}, {"category_id": 15, "poly": [89.0, 261.0, 549.0, 261.0, 549.0, 295.0, 89.0, 295.0], "score": 0.98, "text": "Received 25 May 2013; Accepted 24 August 2013"}, {"category_id": 15, "poly": [89.0, 314.0, 374.0, 314.0, 374.0, 346.0, 89.0, 346.0], "score": 0.97, "text": "Academic Editor: Dilip Kanhere"}, {"category_id": 15, "poly": [89.0, 395.0, 873.0, 395.0, 873.0, 429.0, 89.0, 429.0], "score": 0.98, "text": "distribution, and reproduction in any medium, provided the original work is properly cited."}, {"category_id": 15, "poly": [89.0, 453.0, 180.0, 453.0, 180.0, 487.0, 89.0, 487.0], "score": 1.0, "text": "Abstract"}, {"category_id": 15, "poly": [89.0, 514.0, 1493.0, 514.0, 1493.0, 546.0, 89.0, 546.0], "score": 0.99, "text": "The electronic structure and electron momentum density distribution in BaO and BaS are presented using Compton spectroscopy. The frst-ever Compton profle"}, {"category_id": 15, "poly": [89.0, 570.0, 1520.0, 570.0, 1520.0, 604.0, 89.0, 604.0], "score": 0.98, "text": "Compton profles of BaO and BaS using the linear combination of atomic orbitals method. In the present computation, the correlation scheme proposed by Perdew-"}, {"category_id": 15, "poly": [89.0, 599.0, 1535.0, 599.0, 1535.0, 633.0, 89.0, 633.0], "score": 0.98, "text": "Burke-Ernzerhof and the exchange scheme of Becke were considered. The hybrid B3PW and Hartree-Fock based profles were also computed for both compounds."}, {"category_id": 15, "poly": [89.0, 629.0, 1503.0, 629.0, 1503.0, 663.0, 89.0, 663.0], "score": 0.99, "text": "The ionic configurations are performed to estimate the charge transfer on compound formation, and the present study suggests charge transfer from Ba to O and S"}, {"category_id": 15, "poly": [89.0, 658.0, 1119.0, 658.0, 1119.0, 692.0, 89.0, 692.0], "score": 0.98, "text": "atoms. On the basis of equal-valence-electron-density profles,itis found that BaO is more ionic as compared to BaS."}, {"category_id": 15, "poly": [91.0, 721.0, 236.0, 721.0, 236.0, 748.0, 91.0, 748.0], "score": 1.0, "text": "1. Introduction"}, {"category_id": 15, "poly": [89.0, 772.0, 1550.0, 775.0, 1550.0, 809.0, 89.0, 806.0], "score": 0.98, "text": "The I-VI alkaline earth compounds have interesting bond characteristics and simple crystal structures. BaO and BaS have potential applications in ight-emiting diodes"}, {"category_id": 15, "poly": [89.0, 806.0, 1550.0, 806.0, 1550.0, 841.0, 89.0, 841.0], "score": 0.98, "text": "(LEDs), laser diodes (LDs), and magnetooptical devices [14]. BaO is an indirect bandgap, whereas BaS is a direct bandgap material. At normal conditions, BaO and"}, {"category_id": 15, "poly": [89.0, 836.0, 1488.0, 836.0, 1488.0, 867.0, 89.0, 867.0], "score": 0.96, "text": "BaS crystallize in NaCl (B1) structure, but under pressure, they show structural phase transition from B1 to B2 structure [5, 6]. Using the full-potential linearized "}, {"category_id": 15, "poly": [86.0, 860.0, 1500.0, 858.0, 1501.0, 899.0, 86.0, 902.0], "score": 0.81, "text": "augmented plae wave F-LAPWhd, Drablat al  rpoted the ltronic andoptcal prpertis fBa and Baincubc phase at maland "}, {"category_id": 15, "poly": [89.0, 894.0, 1515.0, 894.0, 1515.0, 926.0, 89.0, 926.0], "score": 0.99, "text": "hydrostatic pressure. Lin et al. [8] observed that the electronic structure ofthese compounds containing oxygen atoms always obeys a different relationship from the"}, {"category_id": 15, "poly": [86.0, 923.0, 780.0, 921.0, 780.0, 955.0, 86.0, 958.0], "score": 0.98, "text": " compounds not containing oxygen atoms using density functional theory (DFT)."}, {"category_id": 15, "poly": [91.0, 972.0, 1493.0, 972.0, 1493.0, 1006.0, 91.0, 1006.0], "score": 0.97, "text": "Most ofthe earlier studies, both experimental and theoretical, involve the electronic, optical, and structural properties ofBaO and BaS [515]. To the best ofour"}, {"category_id": 15, "poly": [86.0, 999.0, 1496.0, 996.0, 1496.0, 1038.0, 86.0, 1040.0], "score": 0.8, "text": "knowlede, nne attdt ltronic strutue and mnmdnsityfBaand Ba usng Coto ptropy It swellstablhed that Ctn"}, {"category_id": 15, "poly": [89.0, 1033.0, 1550.0, 1031.0, 1550.0, 1065.0, 89.0, 1067.0], "score": 0.98, "text": "spectroscopy provides a useful test to examine the bonding in solids [16, 17]. Thus, we found it worth to study the electronic structure in BaO and BaS using Compton "}, {"category_id": 15, "poly": [1402.0, 1096.0, 1555.0, 1096.0, 1555.0, 1123.0, 1402.0, 1123.0], "score": 0.97, "text": "where integration"}, {"category_id": 15, "poly": [86.0, 1191.0, 1481.0, 1189.0, 1481.0, 1230.0, 86.0, 1233.0], "score": 0.79, "text": "wave ftionand suatonxts oeralloccpid statIn this paper, te reuts ofCoptnscattrng studya and Ba are prentd.F t"}, {"category_id": 15, "poly": [91.0, 1223.0, 1547.0, 1223.0, 1547.0, 1257.0, 91.0, 1257.0], "score": 0.97, "text": "theoretical Compton profles, first-principles calculations based on inear combination ofatomic orbitals (LCAO) method are performed using CRYSTALO6 code [18]."}, {"category_id": 15, "poly": [89.0, 1250.0, 1471.0, 1250.0, 1471.0, 1284.0, 89.0, 1284.0], "score": 0.98, "text": "The ionic model has been applied to estimate the charge transfer in these compounds. The nature ofbonding in isostructural and isovalent BaO and BaS is also"}, {"category_id": 15, "poly": [89.0, 1279.0, 1505.0, 1279.0, 1505.0, 1313.0, 89.0, 1313.0], "score": 0.98, "text": "compared using equal-valence-electron-density (EVED) profles. The paper is organized as follows. Section 2 gives the experimental details and data analysis. The"}, {"category_id": 15, "poly": [89.0, 1372.0, 504.0, 1372.0, 504.0, 1403.0, 89.0, 1403.0], "score": 0.97, "text": "2. Expe rime ntal Details and Data Analysis"}, {"category_id": 15, "poly": [91.0, 1525.0, 1515.0, 1525.0, 1515.0, 1559.0, 91.0, 1559.0], "score": 0.98, "text": "which was cooled with liquid nitrogen providing overall momentum resolution of 0.6 a.u. The spectra were recorded with a multichannel analyzer (MCA) with 4096"}, {"category_id": 15, "poly": [84.0, 1618.0, 1505.0, 1615.0, 1505.0, 1657.0, 84.0, 1659.0], "score": 0.89, "text": "processed for several systematic corrections likebackground, instrumental resoution sanple absorption, scattering crosssection, and mutipe scattering using the"}, {"category_id": 15, "poly": [89.0, 1679.0, 1562.0, 1679.0, 1562.0, 1713.0, 89.0, 1713.0], "score": 0.98, "text": "a.u., being the area of free atom Compton profle [22] in the given range. The 1 s electrons of Ba were neglected for both compounds since these do not contribute in the"}, {"category_id": 15, "poly": [86.0, 1708.0, 329.0, 1705.0, 330.0, 1742.0, 86.0, 1745.0], "score": 1.0, "text": "present experimental setup."}, {"category_id": 15, "poly": [86.0, 1769.0, 303.0, 1769.0, 303.0, 1801.0, 86.0, 1801.0], "score": 1.0, "text": "3. Theoretical Details"}, {"category_id": 15, "poly": [86.0, 1825.0, 285.0, 1825.0, 285.0, 1857.0, 86.0, 1857.0], "score": 0.98, "text": "3.1. DFT-LCAO Method"}, {"category_id": 15, "poly": [89.0, 1883.0, 1547.0, 1883.0, 1547.0, 1917.0, 89.0, 1917.0], "score": 0.98, "text": "To compute the theoretical Compton profles of BaO and BaS, the LCAO method embodied in the CRYSTAL06 code [18, 23] was employed. This code provides a"}, {"category_id": 15, "poly": [89.0, 1913.0, 1508.0, 1913.0, 1508.0, 1947.0, 89.0, 1947.0], "score": 0.96, "text": "platformto calculate electronic structure of periodic systems considering Gaussian basis sets. In the LCAO technique, each crystallne orbital is built from the inear"}, {"category_id": 15, "poly": [89.0, 1942.0, 1564.0, 1942.0, 1564.0, 1974.0, 89.0, 1974.0], "score": 0.98, "text": "combination of Bloch functions. The Bloch functions are defined in terms of local functions constructed from the atom-centered certain number of Gaussian functions. For"}, {"category_id": 15, "poly": [86.0, 1971.0, 1540.0, 1971.0, 1540.0, 2005.0, 86.0, 2005.0], "score": 0.98, "text": "Ba, O, and S, the local functions were constructed from the Gaussian type basis sets [24]. In the present DFT calculation, the crystal Hamitonian was generated using"}, {"category_id": 15, "poly": [89.0, 2000.0, 1523.0, 2000.0, 1523.0, 2034.0, 89.0, 2034.0], "score": 0.97, "text": "the correlation functional proposed by Perdew et al. [25] and exchange scheme of Becke [26]. The hybrid B3PW and Hartree-Fock (HF) based profles were also"}, {"category_id": 15, "poly": [89.0, 2056.0, 175.0, 2056.0, 175.0, 2090.0, 89.0, 2090.0], "score": 0.98, "text": "and BaS."}, {"category_id": 15, "poly": [89.0, 2117.0, 216.0, 2117.0, 216.0, 2144.0, 89.0, 2144.0], "score": 0.98, "text": "3.2. Ionic Model"}, {"category_id": 15, "poly": [84.0, 2166.0, 1525.0, 2168.0, 1525.0, 2210.0, 84.0, 2207.0], "score": 0.95, "text": "The theoretical ionic profles ofBaO and BaS for various charge transfer confgurations were calculated from thefee atom Compton profle of Ba, O, and S atoms"}, {"category_id": 15, "poly": [1407.0, 1159.0, 1540.0, 1165.0, 1539.0, 1199.0, 1407.0, 1193.0], "score": 0.93, "text": " is the electron"}, {"category_id": 15, "poly": [89.0, 1094.0, 349.0, 1094.0, 349.0, 1126.0, 89.0, 1126.0], "score": 0.97, "text": "profile. The Compton profle,"}, {"category_id": 15, "poly": [91.0, 2203.0, 417.0, 2203.0, 417.0, 2237.0, 91.0, 2237.0], "score": 0.98, "text": "[22]. The valence profles for various"}, {"category_id": 15, "poly": [792.0, 1591.0, 1542.0, 1591.0, 1542.0, 1625.0, 792.0, 1625.0], "score": 0.99, "text": "counts at the Compton peak. To deduce the true Compton profle, the raw data were"}, {"category_id": 15, "poly": [89.0, 1167.0, 347.0, 1167.0, 347.0, 1199.0, 89.0, 1199.0], "score": 0.97, "text": "is performed over a constant-"}, {"category_id": 15, "poly": [789.0, 1167.0, 888.0, 1167.0, 888.0, 1199.0, 789.0, 1199.0], "score": 0.99, "text": "is given as"}, {"category_id": 15, "poly": [684.0, 2232.0, 725.0, 2232.0, 725.0, 2266.0, 684.0, 2266.0], "score": 1.0, "text": "and"}, {"category_id": 15, "poly": [839.0, 2232.0, 1537.0, 2232.0, 1537.0, 2266.0, 839.0, 2266.0], "score": 0.97, "text": " configurations were then added to the core contribution to get total profles. All"}, {"category_id": 15, "poly": [539.0, 2203.0, 580.0, 2203.0, 580.0, 2237.0, 539.0, 2237.0], "score": 1.0, "text": "and"}, {"category_id": 15, "poly": [89.0, 1462.0, 336.0, 1462.0, 336.0, 1496.0, 89.0, 1496.0], "score": 1.0, "text": "The incident gamma-rays of"}, {"category_id": 15, "poly": [437.0, 1462.0, 694.0, 1462.0, 694.0, 1496.0, 437.0, 1496.0], "score": 0.98, "text": "were scattered at an angle of"}, {"category_id": 15, "poly": [713.0, 1494.0, 1530.0, 1491.0, 1530.0, 1525.0, 713.0, 1528.0], "score": 0.98, "text": ". The scattered radiation was analyzed using an HPGe detector (Canberra model, GLO110S)"}, {"category_id": 15, "poly": [89.0, 2030.0, 958.0, 2030.0, 958.0, 2061.0, 89.0, 2061.0], "score": 1.0, "text": "computed for both compounds [18]. The computations were performed by taking B1 structure and"}, {"category_id": 15, "poly": [1014.0, 2030.0, 1542.0, 2030.0, 1542.0, 2061.0, 1014.0, 2061.0], "score": 0.98, "text": "points in the irreducible wedge ofthe Brillouin zone for BaO"}, {"category_id": 15, "poly": [91.0, 2232.0, 119.0, 2232.0, 119.0, 2266.0, 91.0, 2266.0], "score": 0.92, "text": "the"}, {"category_id": 15, "poly": [140.0, 2232.0, 561.0, 2232.0, 561.0, 2266.0, 140.0, 2266.0], "score": 0.98, "text": "shell ofO and S atoms. The valence profles for"}, {"category_id": 15, "poly": [89.0, 1649.0, 1528.0, 1649.0, 1528.0, 1684.0, 89.0, 1684.0], "score": 0.98, "text": "computer code ofthe Warwick Group [20. 21]. Finally, the corrected profles were normalized to 23.200 for BaO and 26.434 for BaS electrons in the range of0 to"}, {"category_id": 15, "poly": [374.0, 1167.0, 432.0, 1167.0, 432.0, 1199.0, 374.0, 1199.0], "score": 1.0, "text": "plane,"}, {"category_id": 15, "poly": [450.0, 1167.0, 744.0, 1167.0, 744.0, 1199.0, 450.0, 1199.0], "score": 0.98, "text": "is scattering vector direction, and"}, {"category_id": 15, "poly": [89.0, 543.0, 698.0, 543.0, 698.0, 575.0, 89.0, 575.0], "score": 0.98, "text": "measurements on polycrystalline BaO and BaS were performed using"}, {"category_id": 15, "poly": [800.0, 543.0, 1525.0, 543.0, 1525.0, 575.0, 800.0, 575.0], "score": 0.98, "text": "gamma-rays. To interpret the experimental data, we have computed the theoretical"}, {"category_id": 15, "poly": [89.0, 365.0, 180.0, 365.0, 180.0, 397.0, 89.0, 397.0], "score": 1.0, "text": "Copyright"}, {"category_id": 15, "poly": [838.0, 2203.0, 1239.0, 2203.0, 1239.0, 2237.0, 838.0, 2237.0], "score": 0.99, "text": " configurations were computed by transferring"}, {"category_id": 15, "poly": [1258.0, 2203.0, 1557.0, 2203.0, 1557.0, 2237.0, 1258.0, 2237.0], "score": 0.95, "text": "electrons from the s shellof Ba to"}, {"category_id": 15, "poly": [405.0, 1094.0, 908.0, 1094.0, 908.0, 1126.0, 405.0, 1126.0], "score": 0.99, "text": ", is related to the ground state electron momentum density"}, {"category_id": 15, "poly": [86.0, 1494.0, 340.0, 1491.0, 340.0, 1525.0, 86.0, 1528.0], "score": 0.98, "text": "and effective density for BaC"}, {"category_id": 15, "poly": [489.0, 1494.0, 528.0, 1491.0, 528.0, 1525.0, 489.0, 1528.0], "score": 1.0, "text": "and"}, {"category_id": 15, "poly": [807.0, 1462.0, 1399.0, 1462.0, 1399.0, 1496.0, 807.0, 1496.0], "score": 0.97, "text": "by the polycrystalline sample of BaO and BaS (pellet of 18 mm dia,"}, {"category_id": 15, "poly": [1473.0, 1462.0, 1562.0, 1462.0, 1562.0, 1496.0, 1473.0, 1496.0], "score": 1.0, "text": "thickness,"}, {"category_id": 15, "poly": [86.0, 1428.0, 617.0, 1428.0, 617.0, 1469.0, 86.0, 1469.0], "score": 0.98, "text": "The measurements on BaO and BaS were performed using "}, {"category_id": 15, "poly": [718.0, 1428.0, 1552.0, 1428.0, 1552.0, 1469.0, 718.0, 1469.0], "score": 0.94, "text": "gamma-rays Compton spectrometer. The details ofthe experimental setup are available in [19]."}, {"category_id": 15, "poly": [174.0, 1591.0, 541.0, 1591.0, 541.0, 1625.0, 174.0, 1625.0], "score": 0.97, "text": "to collect 2 \u00d7 104 counts and BaS around"}, {"category_id": 15, "poly": [616.0, 1591.0, 699.0, 1591.0, 699.0, 1625.0, 616.0, 1625.0], "score": 0.89, "text": "to collect"}, {"category_id": 15, "poly": [281.0, 365.0, 1464.0, 365.0, 1464.0, 397.0, 281.0, 397.0], "score": 0.98, "text": "Kumar et al. This is an open access article distributed under the Creative Commons Atribution License, which permits unrestricted use,"}, {"category_id": 15, "poly": [89.0, 1311.0, 504.0, 1311.0, 504.0, 1345.0, 89.0, 1345.0], "score": 0.99, "text": "theoretical calculations are presented in Section"}, {"category_id": 15, "poly": [523.0, 1311.0, 1412.0, 1311.0, 1412.0, 1345.0, 523.0, 1345.0], "score": 0.98, "text": "and Section 4 is devoted to the resuts and discussion Finally, the conclusions are drawn in Section 5."}], "page_info": {"page_no": 1, "height": 2339, "width": 1653}}, {"layout_dets": [{"category_id": 0, "poly": [91.0196304321289, 1884.4053955078125, 231.04054260253906, 1884.4053955078125, 231.04054260253906, 1912.9195556640625, 91.0196304321289, 1912.9195556640625], "score": 0.9999994039535522}, {"category_id": 1, "poly": [91.3698959350586, 754.431884765625, 1535.784912109375, 754.431884765625, 1535.784912109375, 810.5221557617188, 91.3698959350586, 810.5221557617188], "score": 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{"category_id": 13, "poly": [674, 1564, 715, 1564, 715, 1593, 674, 1593], "score": 0.79, "latex": "\\left(p_{F}\\right)"}, {"category_id": 13, "poly": [1116, 756, 1161, 756, 1161, 783, 1116, 783], "score": 0.77, "latex": "\\left(\\pm\\sigma\\right)"}, {"category_id": 13, "poly": [1323, 839, 1340, 839, 1340, 865, 1323, 865], "score": 0.73, "latex": "\\underline{{\\boldsymbol{3}}}"}, {"category_id": 13, "poly": [1119, 664, 1163, 664, 1163, 689, 1119, 689], "score": 0.7, "latex": "\\left(\\pm\\sigma\\right)"}, {"category_id": 13, "poly": [263, 868, 280, 868, 280, 893, 263, 893], "score": 0.68, "latex": "\\underline{{\\boldsymbol{3}}}"}, {"category_id": 13, "poly": [634, 581, 647, 581, 647, 599, 634, 599], "score": 0.67, "latex": "s"}, {"category_id": 13, "poly": [1475, 1186, 1492, 1186, 1492, 1213, 1475, 1213], "score": 0.67, "latex": "\\underline{{\\boldsymbol{5}}}"}, {"category_id": 13, "poly": [1309, 456, 1338, 456, 1338, 480, 1309, 480], "score": 0.65, "latex": "+5"}, {"category_id": 13, "poly": [278, 756, 322, 756, 322, 783, 278, 783], "score": 0.62, "latex": "(\\Delta J)"}, {"category_id": 13, "poly": [768, 484, 837, 484, 837, 510, 768, 510], "score": 0.43, "latex": "3.0\\,\\mathrm{a.u.}"}, {"category_id": 13, "poly": [739, 514, 806, 514, 806, 539, 739, 539], "score": 0.34, "latex": "3.0\\,\\mathrm{a.u.}"}, {"category_id": 13, "poly": [1333, 1243, 1400, 1243, 1400, 1269, 1333, 1269], "score": 0.33, "latex": "0.6\\,\\mathrm{a.u.}"}, {"category_id": 13, "poly": [278, 663, 321, 663, 321, 690, 278, 690], "score": 0.32, "latex": "(\\Delta J)"}, {"category_id": 13, "poly": [777, 867, 809, 867, 809, 891, 777, 891], "score": 0.27, "latex": "\\mathrm{HF}"}, {"category_id": 15, "poly": [89.0, 141.0, 342.0, 141.0, 342.0, 173.0, 89.0, 173.0], "score": 0.98, "text": "4. Results and Discussion"}, {"category_id": 15, "poly": [89.0, 200.0, 1545.0, 200.0, 1545.0, 231.0, 89.0, 231.0], "score": 0.98, "text": "The numerical values of unconvoluted spherically averaged theoretical Compton profiles (DFT-PBE, B3PW, HF, and Ionic) of BaO and BaS are presented in Table 1."}, {"category_id": 15, "poly": [91.0, 229.0, 1191.0, 229.0, 1191.0, 263.0, 91.0, 263.0], "score": 0.98, "text": "The experimental Compton profles of BaO and BaS are also given in the table including experimental errors at selected points."}, {"category_id": 15, "poly": [91.0, 317.0, 1547.0, 317.0, 1547.0, 348.0, 91.0, 348.0], "score": 0.98, "text": "Table 1: The unconvoluted theoretical (DFT-PBE, DFT-B3PW, HF, and Ionic) and experimental Compton profles for BaO and BaS. The experimental errors at few"}, {"category_id": 15, "poly": [89.0, 346.0, 772.0, 346.0, 772.0, 380.0, 89.0, 380.0], "score": 0.98, "text": "points are also presented, and all profles are normalized to the fee atom area."}, {"category_id": 15, "poly": [89.0, 397.0, 1552.0, 397.0, 1552.0, 431.0, 89.0, 431.0], "score": 0.98, "text": "In Figures 1 and 2, the experimental Compton profles ofBaO and BaS are compared with various ionic arrangements to estimate the charge transfer. For a quantitative"}, {"category_id": 15, "poly": [89.0, 487.0, 1560.0, 487.0, 1560.0, 521.0, 89.0, 521.0], "score": 0.97, "text": "the efect of charge transfer from Ba to O atoms is largely visible within 0.0 to 3.0 a.u. for BaO. The best agreement is found for x = 1.0. Figure 2 shows that the charge"}, {"category_id": 15, "poly": [89.0, 694.0, 556.0, 694.0, 556.0, 729.0, 89.0, 729.0], "score": 0.95, "text": "are convohuted with the Gaussian of 0.6 a.u. FWHM."}, {"category_id": 15, "poly": [86.0, 787.0, 558.0, 784.0, 558.0, 819.0, 86.0, 821.0], "score": 0.96, "text": " are convoluted with the Gaussian of 0.6 a.u. FWHM."}, {"category_id": 15, "poly": [89.0, 926.0, 1540.0, 923.0, 1540.0, 958.0, 89.0, 960.0], "score": 0.96, "text": "momentum region, because the contrbution in this region is mostly due to core elctrons, which remain unafected in the compound formation. Similar features are also"}, {"category_id": 15, "poly": [89.0, 953.0, 795.0, 955.0, 794.0, 989.0, 89.0, 987.0], "score": 0.96, "text": "visible in Figure 4, but the effect of exchange and correlation is not seen for BaS."}, {"category_id": 15, "poly": [91.0, 1043.0, 1535.0, 1043.0, 1535.0, 1077.0, 91.0, 1077.0], "score": 0.96, "text": "Figure 3: The difference of DFT-PBE, B3PW, and HF with experimental Compton profle of BaO. All profles are convoluted with the Gaussian of 0.6 a.u. FWHM."}, {"category_id": 15, "poly": [91.0, 1106.0, 1530.0, 1106.0, 1530.0, 1140.0, 91.0, 1140.0], "score": 0.97, "text": "Figure 4: The difference of DFT-PBE, B3PW, and HF with experimental Compton profle of BaS. Alprofiles are convoluted with the Gaussian of0.6 a.u. FWHM."}, {"category_id": 15, "poly": [89.0, 1155.0, 1523.0, 1157.0, 1523.0, 1191.0, 89.0, 1189.0], "score": 0.98, "text": "The directional Compton profles ofBaO and BaS along [100], [110], and [111] directions have been computed to examine the anisotropies [100]-[110] , [110]-"}, {"category_id": 15, "poly": [91.0, 1274.0, 1547.0, 1274.0, 1547.0, 1308.0, 91.0, 1308.0], "score": 0.98, "text": "anisotropies are visible up to 3.0 a.u. In Figure 6, the anisotropies are plotted for BaS. This figure shows similarity with BaO, but all anisotropies are diminished beyond"}, {"category_id": 15, "poly": [86.0, 1301.0, 1304.0, 1304.0, 1304.0, 1338.0, 86.0, 1335.0], "score": 0.98, "text": " 2.0 a.u. Measurements on single crystallne samples of BaO and BaS along principal directions would be valuable to examine these findings."}, {"category_id": 15, "poly": [91.0, 1508.0, 1520.0, 1508.0, 1520.0, 1540.0, 91.0, 1540.0], "score": 0.98, "text": "The nature of bonding in isostructural and isovalent BaO and BaS has been compared and plotted in Figure 7. In this figure, the experimental EVED profles of these"}, {"category_id": 15, "poly": [89.0, 1537.0, 1518.0, 1537.0, 1518.0, 1569.0, 89.0, 1569.0], "score": 0.97, "text": "compounds are considered. We also plot the theoretical EVED profles in the inset. The EVED profles were derived by normalizing valence electron profiles to 4.0"}, {"category_id": 15, "poly": [91.0, 1654.0, 1540.0, 1654.0, 1540.0, 1688.0, 91.0, 1688.0], "score": 0.98, "text": "localization of charges in BaS in the bonding direction as compared to BaO. It is worth mentioning here that the covalent bonding is a result of sharing ofelectrons, and"}, {"category_id": 15, "poly": [93.0, 1684.0, 1540.0, 1684.0, 1540.0, 1715.0, 93.0, 1715.0], "score": 0.99, "text": "hence, it increases localization ofcharge in bonding direction which results in a sharper Compton line shape [32, 33]. Therefore, we conclude that the ionic character is"}, {"category_id": 15, "poly": [91.0, 1713.0, 1505.0, 1713.0, 1505.0, 1745.0, 91.0, 1745.0], "score": 0.98, "text": "higher for BaO as compared to BaS. The larger ionic character of BaO as compared to BaS is well supported by the bulk modulus and cohesive energy data [34]"}, {"category_id": 15, "poly": [91.0, 1827.0, 1547.0, 1827.0, 1547.0, 1861.0, 91.0, 1861.0], "score": 0.98, "text": "valence profles. The inset shows the EVED profles derived from the theoretical valence profiles of these compounds. All these profles are normalized to 4.0 electrons."}, {"category_id": 15, "poly": [85.0, 1881.0, 234.0, 1886.0, 233.0, 1920.0, 83.0, 1915.0], "score": 0.97, "text": " 5. Conclusions"}, {"category_id": 15, "poly": [91.0, 1947.0, 1483.0, 1947.0, 1483.0, 1981.0, 91.0, 1981.0], "score": 0.97, "text": "Electronic structure and momentum density in BaO and BaS using Compton scattering technique are reported. The experimental values of Compton profles are"}, {"category_id": 15, "poly": [89.0, 1976.0, 1508.0, 1976.0, 1508.0, 2010.0, 89.0, 2010.0], "score": 0.98, "text": "compared with the LCAO based values for both compounds. The anisotropies in momentum densities depict larger occupied states along [1oo] direction with low"}, {"category_id": 15, "poly": [89.0, 2005.0, 1537.0, 2005.0, 1537.0, 2037.0, 89.0, 2037.0], "score": 0.99, "text": "momentum In addition, the ionic model based calculations have also been used to estimate the charge transfer in the compounds, and the model suggests a transfer of"}, {"category_id": 15, "poly": [91.0, 2064.0, 155.0, 2064.0, 155.0, 2093.0, 91.0, 2093.0], "score": 0.95, "text": "to BaS."}, {"category_id": 15, "poly": [89.0, 2119.0, 266.0, 2125.0, 265.0, 2157.0, 88.0, 2151.0], "score": 1.0, "text": "Acknowledgments"}, {"category_id": 15, "poly": [91.0, 2181.0, 1532.0, 2181.0, 1532.0, 2215.0, 91.0, 2215.0], "score": 0.97, "text": "This work is financially supported by the CSIR, New Delhi, through the Grant no. 03(1205/12EMR-II). G. Sharma is also thankful to the Head ofthe Department of"}, {"category_id": 15, "poly": [86.0, 2207.0, 891.0, 2210.0, 890.0, 2244.0, 86.0, 2242.0], "score": 0.97, "text": "Pure & Applied Physics, University ofKota, Kota, for providing the computational facities."}, {"category_id": 15, "poly": [89.0, 426.0, 639.0, 426.0, 639.0, 460.0, 89.0, 460.0], "score": 0.97, "text": "comparison of the ionic and experiment, the difference profiles "}, {"category_id": 15, "poly": [903.0, 426.0, 1520.0, 426.0, 1520.0, 460.0, 903.0, 460.0], "score": 0.94, "text": " have been deduced after convoluting alionic profles with a Gaussian"}, {"category_id": 15, "poly": [86.0, 833.0, 234.0, 833.0, 234.0, 875.0, 86.0, 875.0], "score": 0.96, "text": "The diferences"}, {"category_id": 15, "poly": [91.0, 1391.0, 397.0, 1391.0, 397.0, 1425.0, 91.0, 1425.0], "score": 0.99, "text": "Figure 5: Directional anisotropies,"}, {"category_id": 15, "poly": [468.0, 1391.0, 1188.0, 1391.0, 1188.0, 1425.0, 468.0, 1425.0], "score": 0.96, "text": ", for BaO for the pair ofdirections [100]-[110] , [110]-[111], and [100]-[111] ."}, {"category_id": 15, "poly": [91.0, 1623.0, 722.0, 1623.0, 722.0, 1657.0, 91.0, 1657.0], "score": 0.99, "text": "and isostructural compounds [27-31]. It is seen from Figure 7 that, near"}, {"category_id": 15, "poly": [789.0, 1623.0, 1476.0, 1623.0, 1476.0, 1657.0, 789.0, 1657.0], "score": 0.98, "text": "a.u., the sharpness ofCompton profles is higher for BaS, which suggests more"}, {"category_id": 15, "poly": [91.0, 1457.0, 397.0, 1457.0, 397.0, 1489.0, 91.0, 1489.0], "score": 1.0, "text": "Figure 6: Directional anisotropies,"}, {"category_id": 15, "poly": [467.0, 1457.0, 1186.0, 1457.0, 1186.0, 1489.0, 467.0, 1489.0], "score": 0.97, "text": ", for BaS for the pair ofdirections [100]-[110] , [110]-[111], and [100]-[111] ."}, {"category_id": 15, "poly": [84.0, 541.0, 514.0, 546.0, 514.0, 585.0, 84.0, 580.0], "score": 0.94, "text": " checks and from Figures 1 and 2, it isfound that"}, {"category_id": 15, "poly": [91.0, 1798.0, 803.0, 1798.0, 803.0, 1832.0, 91.0, 1832.0], "score": 0.97, "text": "Figure 7: The equal valence-electron-density (EVED) profiles of BaO and BaS ("}, {"category_id": 15, "poly": [911.0, 1798.0, 1552.0, 1798.0, 1552.0, 1832.0, 911.0, 1832.0], "score": 0.96, "text": " and 0.813 a.u., resp.). These profles are deduced from the experimental"}, {"category_id": 15, "poly": [91.0, 517.0, 277.0, 517.0, 277.0, 548.0, 91.0, 548.0], "score": 0.98, "text": "transfer configuration"}, {"category_id": 15, "poly": [626.0, 541.0, 663.0, 546.0, 663.0, 585.0, 626.0, 580.0], "score": 1.0, "text": "and"}, {"category_id": 15, "poly": [771.0, 541.0, 1537.0, 546.0, 1537.0, 585.0, 771.0, 580.0], "score": 0.98, "text": "configurations give the best agreement for BaO and BaS, respectively. Thus, the model"}, {"category_id": 15, "poly": [823.0, 577.0, 1259.0, 577.0, 1259.0, 612.0, 823.0, 612.0], "score": 1.0, "text": "states ofO and S for BaO and BaS, respectively."}, {"category_id": 15, "poly": [926.0, 1567.0, 1564.0, 1567.0, 1564.0, 1601.0, 926.0, 1601.0], "score": 0.98, "text": "tuned out to be 0.938 and 0.813 a.u., respectively, using the expression"}, {"category_id": 15, "poly": [283.0, 892.0, 742.0, 894.0, 742.0, 936.0, 283.0, 933.0], "score": 0.88, "text": "-, whilethe trend reversed in the momentum range of"}, {"category_id": 15, "poly": [907.0, 892.0, 1537.0, 894.0, 1537.0, 936.0, 907.0, 933.0], "score": 0.94, "text": ". The diference between theory and experiment is negigibe in the high"}, {"category_id": 15, "poly": [89.0, 1213.0, 894.0, 1213.0, 894.0, 1255.0, 89.0, 1255.0], "score": 0.7, "text": "forBa aBa retivFdits tat alant are psitiv"}, {"category_id": 15, "poly": [1015.0, 1213.0, 1505.0, 1213.0, 1505.0, 1255.0, 1015.0, 1255.0], "score": 0.96, "text": "for BaO. It ndicates larger occupied states along [100]"}, {"category_id": 15, "poly": [86.0, 2027.0, 513.0, 2030.0, 513.0, 2071.0, 86.0, 2069.0], "score": 0.95, "text": "1.0 and 1.5 electrons froms state ofBa atomto"}, {"category_id": 15, "poly": [532.0, 2027.0, 1552.0, 2030.0, 1552.0, 2071.0, 532.0, 2069.0], "score": 0.97, "text": "state ofO and S atoms. The EVED profles for the compounds conclude higher ionic character in BaO as compared"}, {"category_id": 15, "poly": [180.0, 1593.0, 246.0, 1593.0, 246.0, 1628.0, 180.0, 1628.0], "score": 0.95, "text": ", where"}, {"category_id": 15, "poly": [264.0, 1593.0, 1547.0, 1593.0, 1547.0, 1628.0, 264.0, 1628.0], "score": 0.99, "text": "is the valence electron density. A number ofresearchers have proved that this scheme offers a way to understand the nature ofbonding in isovalent "}, {"category_id": 15, "poly": [91.0, 1567.0, 673.0, 1567.0, 673.0, 1601.0, 91.0, 1601.0], "score": 0.95, "text": "electrons and scaling the resulting profiles by the Fermi momentum"}, {"category_id": 15, "poly": [716.0, 1567.0, 895.0, 1567.0, 895.0, 1601.0, 716.0, 1601.0], "score": 0.95, "text": ". For BaO and BaS,"}, {"category_id": 15, "poly": [1162.0, 755.0, 1532.0, 758.0, 1532.0, 792.0, 1162.0, 789.0], "score": 0.97, "text": " are also shown at points. All ionic profles"}, {"category_id": 15, "poly": [513.0, 833.0, 1322.0, 833.0, 1322.0, 875.0, 513.0, 875.0], "score": 0.88, "text": "betwenexperimental and CAO schee based Compton profle are presened nFigu"}, {"category_id": 15, "poly": [1341.0, 833.0, 1562.0, 833.0, 1562.0, 875.0, 1341.0, 875.0], "score": 0.96, "text": "and 4 for BaO and BaS,"}, {"category_id": 15, "poly": [1164.0, 665.0, 1532.0, 665.0, 1532.0, 699.0, 1164.0, 699.0], "score": 0.97, "text": "are also shown at points. All ionic profles"}, {"category_id": 15, "poly": [89.0, 867.0, 262.0, 870.0, 262.0, 904.0, 89.0, 901.0], "score": 0.96, "text": "respectively. Figure"}, {"category_id": 15, "poly": [89.0, 577.0, 633.0, 577.0, 633.0, 612.0, 89.0, 612.0], "score": 0.99, "text": "suggests the transfer of 1.0 and 1.5 electrons from the valence"}, {"category_id": 15, "poly": [648.0, 577.0, 803.0, 577.0, 803.0, 612.0, 648.0, 612.0], "score": 0.97, "text": "state of Ba to the"}, {"category_id": 15, "poly": [93.0, 1189.0, 1474.0, 1189.0, 1474.0, 1221.0, 93.0, 1221.0], "score": 0.98, "text": "[111], and [100]-[111] in the electron momentum density. Allthese anisotropies are derived from convoluted B3PW hybrid scheme and presented in Figures"}, {"category_id": 15, "poly": [1493.0, 1189.0, 1550.0, 1189.0, 1550.0, 1221.0, 1493.0, 1221.0], "score": 1.0, "text": "and 6"}, {"category_id": 15, "poly": [91.0, 458.0, 1308.0, 458.0, 1308.0, 490.0, 91.0, 490.0], "score": 0.98, "text": "function of0.6 a.u. FWHM. All ionic profles are normalized to 23.200 electrons for BaO and 26.434 electrons for BaS in the range of0 to"}, {"category_id": 15, "poly": [1339.0, 458.0, 1560.0, 458.0, 1560.0, 490.0, 1339.0, 490.0], "score": 0.96, "text": "a.u. Figure 1 depicts that"}, {"category_id": 15, "poly": [86.0, 755.0, 277.0, 758.0, 277.0, 792.0, 86.0, 789.0], "score": 0.99, "text": "Figure 2: Difference"}, {"category_id": 15, "poly": [323.0, 755.0, 1115.0, 758.0, 1115.0, 792.0, 323.0, 789.0], "score": 0.99, "text": "between convoluted ionic and experimental Compton profles of BaS. Experimental errors"}, {"category_id": 15, "poly": [353.0, 517.0, 738.0, 517.0, 738.0, 548.0, 353.0, 548.0], "score": 0.98, "text": "is closet to the experiment for BaS. Beyond"}, {"category_id": 15, "poly": [807.0, 517.0, 1504.0, 517.0, 1504.0, 548.0, 807.0, 548.0], "score": 0.98, "text": ", all configurations show identical behavior for both compounds. On the basis of"}, {"category_id": 15, "poly": [89.0, 1245.0, 1332.0, 1245.0, 1332.0, 1279.0, 89.0, 1279.0], "score": 0.98, "text": "direction with low momentum A close inspection ofthis fgure reveals that maximum anisotropy is seen between [100] and [111] directions at"}, {"category_id": 15, "poly": [1401.0, 1245.0, 1545.0, 1245.0, 1545.0, 1279.0, 1401.0, 1279.0], "score": 0.93, "text": " and 1.2 a.u. All"}, {"category_id": 15, "poly": [89.0, 665.0, 277.0, 665.0, 277.0, 699.0, 89.0, 699.0], "score": 1.0, "text": "Figure 1: Difference"}, {"category_id": 15, "poly": [322.0, 665.0, 1118.0, 665.0, 1118.0, 699.0, 322.0, 699.0], "score": 0.98, "text": "between convoluted ionic and experimental Compton profles of BaO. Experimental errors"}, {"category_id": 15, "poly": [281.0, 867.0, 776.0, 870.0, 776.0, 904.0, 281.0, 901.0], "score": 0.98, "text": "shows that for BaO all theories DFT-PBE, B3PW, and"}, {"category_id": 15, "poly": [810.0, 867.0, 1560.0, 870.0, 1559.0, 904.0, 810.0, 901.0], "score": 0.98, "text": ") predict lower momentum density as compared to experiment in the momentum range"}], "page_info": {"page_no": 2, "height": 2339, "width": 1653}}, {"layout_dets": [{"category_id": 2, "poly": [89.0936279296875, 80.74409484863281, 204.3162078857422, 80.74409484863281, 204.3162078857422, 106.50306701660156, 89.0936279296875, 106.50306701660156], "score": 0.9999979734420776}, {"category_id": 1, "poly": [103.02957153320312, 134.86175537109375, 1563.1484375, 134.86175537109375, 1563.1484375, 2057.353515625, 103.02957153320312, 2057.353515625], "score": 0.999991774559021}, {"category_id": 13, "poly": [1065, 1590, 1114, 1590, 1114, 1614, 1065, 1614], "score": 0.46, "latex": "\\mathrm{{X}}\\!=\\!\\mathbf{\\mathcal{C}}"}, {"category_id": 13, "poly": [608, 1045, 622, 1045, 622, 1061, 608, 1061], "score": 0.42, "latex": "\\cdot"}, {"category_id": 13, "poly": [231, 1131, 245, 1131, 245, 1147, 231, 1147], "score": 0.38, "latex": "\\cdot"}, {"category_id": 13, "poly": [524, 871, 537, 871, 537, 886, 524, 886], "score": 0.36, "latex": "\\cdot"}, {"category_id": 13, "poly": [872, 1914, 886, 1914, 886, 1931, 872, 1931], "score": 0.36, "latex": "\\cdot"}, {"category_id": 13, "poly": [743, 928, 757, 928, 757, 944, 743, 944], "score": 0.34, "latex": "\\cdot"}, {"category_id": 13, "poly": [795, 318, 809, 318, 809, 335, 795, 335], "score": 0.34, "latex": "\\cdot"}, {"category_id": 13, "poly": [582, 1973, 596, 1973, 596, 1988, 582, 1988], "score": 0.33, "latex": "\\cdot"}, {"category_id": 13, "poly": [305, 260, 319, 260, 319, 276, 305, 276], "score": 0.32, "latex": "\\cdot"}, {"category_id": 13, "poly": [514, 929, 527, 929, 527, 944, 514, 944], "score": 0.32, "latex": "\\cdot"}, {"category_id": 13, "poly": [756, 812, 770, 812, 770, 828, 756, 828], "score": 0.3, "latex": "\\cdot"}, {"category_id": 13, "poly": [811, 1422, 825, 1422, 825, 1437, 811, 1437], "score": 0.29, "latex": "\\cdot"}, {"category_id": 13, "poly": [1023, 319, 1038, 319, 1038, 334, 1023, 334], "score": 0.29, "latex": "\\cdot"}, {"category_id": 13, "poly": [305, 1567, 319, 1567, 319, 1582, 305, 1582], "score": 0.28, "latex": "\\cdot"}, {"category_id": 13, "poly": [940, 987, 954, 987, 954, 1002, 940, 1002], "score": 0.28, "latex": "\\cdot"}, {"category_id": 13, "poly": [456, 1740, 469, 1740, 469, 1756, 456, 1756], "score": 0.27, "latex": "\\cdot"}, {"category_id": 13, "poly": [549, 1683, 562, 1683, 562, 1698, 549, 1698], "score": 0.26, "latex": "\\cdot"}, {"category_id": 13, "poly": [685, 1740, 699, 1740, 699, 1756, 685, 1756], "score": 0.25, "latex": "\\cdot"}, {"category_id": 15, "poly": [111.0, 134.0, 1471.0, 139.0, 1471.0, 173.0, 111.0, 168.0], "score": 0.97, "text": "1. 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Srivastava,2 Hossein Jafari 3 and Xiao-Jun Yang"}, {"category_id": 15, "poly": [86.0, 200.0, 718.0, 205.0, 718.0, 246.0, 86.0, 241.0], "score": 0.93, "text": "1College of Science, Yanshan Universiy, Qinhuangdao 066004, China"}, {"category_id": 15, "poly": [84.0, 234.0, 1085.0, 236.0, 1085.0, 278.0, 84.0, 275.0], "score": 0.96, "text": " 2Department of Mathematics and Statistics, Universiyof Victora, Victoria, British Columbia, Canada V8W 3R4"}, {"category_id": 15, "poly": [86.0, 270.0, 1134.0, 273.0, 1134.0, 307.0, 86.0, 305.0], "score": 0.98, "text": "3Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar 47415-416, Iran"}, {"category_id": 15, "poly": [89.0, 305.0, 1164.0, 309.0, 1163.0, 344.0, 88.0, 339.0], "score": 0.98, "text": "4Department of Mathematics and Mechanics, China University ofMining and Technology, Jangsu, Xuzhou 221008, China"}, {"category_id": 15, "poly": [89.0, 361.0, 497.0, 361.0, 497.0, 392.0, 89.0, 392.0], "score": 0.98, "text": "Received 9 June 2013; Accepted 7 July 2013"}, {"category_id": 15, "poly": [89.0, 414.0, 465.0, 414.0, 465.0, 446.0, 89.0, 446.0], "score": 0.98, "text": "Academic Editor: J. A. Tenreiro Machado"}, {"category_id": 15, "poly": [89.0, 495.0, 873.0, 495.0, 873.0, 529.0, 89.0, 529.0], "score": 0.99, "text": "distribution, and reproduction in any medium, provided the original work is properly cited."}, {"category_id": 15, "poly": [91.0, 558.0, 177.0, 558.0, 177.0, 585.0, 91.0, 585.0], "score": 1.0, "text": "Abstract"}, {"category_id": 15, "poly": [89.0, 614.0, 1532.0, 614.0, 1532.0, 646.0, 89.0, 646.0], "score": 0.98, "text": "The main object of this paper is to investigate the Helmholtz and difusion equations on the Cantor sets involving local fractional derivative operators. The Cantor-type"}, {"category_id": 15, "poly": [89.0, 641.0, 1510.0, 641.0, 1510.0, 672.0, 89.0, 672.0], "score": 0.99, "text": "cylindrical-coordinate method is applied to handle the corresponding local fractional differential equations. 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"S_{2}=16.5\\:\\mathrm{mm}"}, {"category_id": 13, "poly": [357, 1970, 473, 1970, 473, 1999, 357, 1999], "score": 0.63, "latex": "W_{1}=4\\,\\mathrm{mm}"}, {"category_id": 13, "poly": [1231, 1634, 1301, 1634, 1301, 1661, 1231, 1661], "score": 0.62, "latex": "1.6\\,\\mathrm{mm}"}, {"category_id": 13, "poly": [832, 1970, 962, 1970, 962, 2000, 832, 2000], "score": 0.62, "latex": "W_{3}=18\\;\\mathrm{mm},"}, {"category_id": 13, "poly": [1210, 1970, 1327, 1970, 1327, 1999, 1210, 1999], "score": 0.6, "latex": "W_{6}=4\\:\\mathrm{mm},"}, {"category_id": 13, "poly": [232, 1970, 352, 1970, 352, 1999, 232, 1999], "score": 0.6, "latex": "S_{3}=12\\,\\mathrm{mm},"}, {"category_id": 13, "poly": [181, 331, 204, 331, 204, 355, 181, 355], "score": 0.59, "latex": "\\copyright"}, {"category_id": 14, "poly": [1156, 1430, 1348, 1430, 1348, 1504, 1156, 1504], "score": 0.59, "latex": "W=\\frac{c}{2f_{0}}\\sqrt{\\frac{\\varepsilon_{r}+1}{2}},"}, {"category_id": 13, "poly": [966, 1970, 1083, 1970, 1083, 1999, 966, 1999], "score": 0.58, "latex": "W_{4}=6\\,\\mathrm{mm},"}, {"category_id": 13, "poly": [1019, 1940, 1496, 1940, 1496, 1969, 1019, 1969], "score": 0.52, "latex": "L=40\\,\\mathrm{mm},W=40\\,\\mathrm{mm},R=6\\,\\mathrm{mm},S_{1}=10\\,\\mathrm{mm},"}, {"category_id": 13, "poly": [559, 2004, 576, 2004, 576, 2029, 559, 2029], "score": 0.48, "latex": "\\underline{{3}}."}, {"category_id": 13, "poly": [1021, 1941, 1132, 1941, 1132, 1968, 1021, 1968], "score": 0.47, "latex": "L=40\\,\\mathrm{mm}"}, {"category_id": 13, "poly": [1089, 1970, 1207, 1970, 1207, 1999, 1089, 1999], "score": 0.46, "latex": "W_{5}=8\\:\\mathrm{mm},"}, {"category_id": 13, "poly": [1266, 1941, 1364, 1941, 1364, 1969, 1266, 1969], "score": 0.41, "latex": "R=6\\,\\mathrm{{mm}}"}, {"category_id": 13, "poly": [827, 1970, 1328, 1970, 1328, 2000, 827, 2000], "score": 0.37, "latex": "W_{3}=18\\,\\mathrm{mm},W_{4}=6\\,\\mathrm{mm},W_{5}=8\\,\\mathrm{mm},W_{6}=4\\,\\mathrm{mm},"}, {"category_id": 13, "poly": [661, 1405, 690, 1405, 690, 1432, 661, 1432], "score": 0.35, "latex": "(\\underline{{1}})"}, {"category_id": 13, "poly": [479, 1970, 596, 1970, 596, 2000, 479, 2000], "score": 0.35, "latex": "W_{2}=7\\,\\mathrm{mm},"}, {"category_id": 13, "poly": [601, 1970, 727, 1970, 727, 2003, 601, 2003], "score": 0.34, "latex": "L_{g}=40\\,\\mathrm{mm},"}, {"category_id": 15, "poly": [86.0, 134.0, 1055.0, 139.0, 1055.0, 180.0, 86.0, 175.0], "score": 0.97, "text": "Centre for Space Science (ANGKASA), Universi Kebangsaan Malaysia, 43600 Bangi Selangor, Malaysia"}, {"category_id": 15, "poly": [91.0, 175.0, 1230.0, 175.0, 1230.0, 210.0, 91.0, 210.0], "score": 0.97, "text": "Department of Electrical, Electronic and Systems Engineering, Universiti Kebangsaan Malaysia, 43600 Bangi Selangor, Malaysia"}, {"category_id": 15, "poly": [86.0, 224.0, 841.0, 227.0, 841.0, 261.0, 86.0, 258.0], "score": 0.99, "text": " Received 25 October 2013; Accepted 17 November 2013; Published 27 April 2014"}, {"category_id": 15, "poly": [91.0, 280.0, 364.0, 280.0, 364.0, 312.0, 91.0, 312.0], "score": 0.99, "text": "Academic Editor: Rezaul Azim"}, {"category_id": 15, "poly": [89.0, 363.0, 873.0, 363.0, 873.0, 395.0, 89.0, 395.0], "score": 0.98, "text": "distribution, and reproduction in any medium, provided the original work is properly cited."}, {"category_id": 15, "poly": [91.0, 424.0, 177.0, 424.0, 177.0, 451.0, 91.0, 451.0], "score": 1.0, "text": "Abstract"}, {"category_id": 15, "poly": [91.0, 480.0, 1547.0, 480.0, 1547.0, 512.0, 91.0, 512.0], "score": 0.98, "text": "A double inverted F-shape patch antenna is presented for dual-band operation. The proposed antenna is comprised ofcircular and rectangular slots on a printed circuit"}, {"category_id": 15, "poly": [89.0, 597.0, 1045.0, 597.0, 1045.0, 629.0, 89.0, 629.0], "score": 0.99, "text": "bands. Moreover, numerical simulations have been indicated as an important uniformity with measured results."}, {"category_id": 15, "poly": [91.0, 658.0, 236.0, 658.0, 236.0, 685.0, 91.0, 685.0], "score": 1.0, "text": "1. Introduction"}, {"category_id": 15, "poly": [89.0, 714.0, 1498.0, 714.0, 1498.0, 748.0, 89.0, 748.0], "score": 0.98, "text": "The raising demands of wireless communication systems enforce the improvement of dual band antennas that have abilities to operate under different standards in"}, {"category_id": 15, "poly": [84.0, 738.0, 1550.0, 741.0, 1550.0, 782.0, 84.0, 780.0], "score": 0.79, "text": "different fqucyba. dan nwre catons he ducd tr ds in the antea tlgy It als pavedt wayfrwidesa"}, {"category_id": 15, "poly": [84.0, 767.0, 1483.0, 770.0, 1483.0, 811.0, 84.0, 809.0], "score": 0.83, "text": "ofmobile phnes nmde socity reulting n mounng concems surodng its hamul radiation [1 2]. Mrostrip patch anta plays an iortant role a a"}, {"category_id": 15, "poly": [89.0, 802.0, 1528.0, 802.0, 1528.0, 836.0, 89.0, 836.0], "score": 0.98, "text": "harbinger in wireless communication systems and is gradually carrying out to face the changing demands ofupdate antena technology. Microstrip patch antennas are"}, {"category_id": 15, "poly": [91.0, 831.0, 1542.0, 831.0, 1542.0, 865.0, 91.0, 865.0], "score": 0.98, "text": "presently under concern for using in broadband comunication systems due to their attractive characteristics, such as low profle, low cost, ightweight, wide frequency"}, {"category_id": 15, "poly": [91.0, 860.0, 1532.0, 860.0, 1532.0, 892.0, 91.0, 892.0], "score": 0.97, "text": "bandwidth, ease of fabrication, and easy integration with monolithic microwave integrated circuits [3, 4]. However, the limitations ofthe microstrip patch antennas are"}, {"category_id": 15, "poly": [91.0, 889.0, 1505.0, 889.0, 1505.0, 921.0, 91.0, 921.0], "score": 0.98, "text": "having narrow bandwidth, and for that reason the demand of the bandwidth enhancement is gradualy rising in the practical applications [5]. In order to enhance its"}, {"category_id": 15, "poly": [89.0, 919.0, 1513.0, 919.0, 1513.0, 953.0, 89.0, 953.0], "score": 0.97, "text": "bandwidth, many approaches have been applied conventionaly, such as using thick substrates with low dielectrics constant, impedance matching network, parasitic"}, {"category_id": 15, "poly": [89.0, 948.0, 1341.0, 948.0, 1341.0, 979.0, 89.0, 979.0], "score": 0.98, "text": "patches stacked on the top ofthe main patch [6], slots lbaded on the patch, high dielectric constant substrate, and adopting short-circuit pin [Z]."}, {"category_id": 15, "poly": [89.0, 997.0, 1552.0, 997.0, 1552.0, 1031.0, 89.0, 1031.0], "score": 0.98, "text": "In [8], a rectangular slot antenna has been stated for dual frequency operation Reference [9] has narrated a printed dipole antenna to cover dual band with U-slot arms."}, {"category_id": 15, "poly": [89.0, 1028.0, 1486.0, 1028.0, 1486.0, 1060.0, 89.0, 1060.0], "score": 0.99, "text": "Reference [10] has been reported a low cost microstrip dipole antenna for wireless communications. In [11], a PIFA antenna has been presented for dual band "}, {"category_id": 15, "poly": [86.0, 1053.0, 1562.0, 1053.0, 1562.0, 1094.0, 86.0, 1094.0], "score": 0.96, "text": "operation with U-slot. Reference [12] has been mentioned a dual lop antea for 2.4/5 GHz wireless LAN. A monopole antema with double-T has been stated in [13]"}, {"category_id": 15, "poly": [86.0, 1082.0, 1555.0, 1084.0, 1555.0, 1118.0, 86.0, 1116.0], "score": 0.99, "text": " for 2.4/5.2 GHz WLAN operations. A dual polarized antemna has been mentioned in [14] for Ku-band application. Microstrip antennas on FR4 substrate material were"}, {"category_id": 15, "poly": [89.0, 1113.0, 475.0, 1113.0, 475.0, 1148.0, 89.0, 1148.0], "score": 0.98, "text": "discussed for UWB applications in [15, 16]."}, {"category_id": 15, "poly": [89.0, 1172.0, 1513.0, 1172.0, 1513.0, 1206.0, 89.0, 1206.0], "score": 0.99, "text": "In this research, a double inverted F-shape 40 \u00d7 40 mm? patch antenna for dual-band operation has been proposed and investigated to increase the bandwidth and"}, {"category_id": 15, "poly": [91.0, 1201.0, 1562.0, 1201.0, 1562.0, 1233.0, 91.0, 1233.0], "score": 0.99, "text": "reduce the size at the same time. The effect on antenna resonances and other antenna parameters is concentrated due to slots on the patch and ground plane to design the"}, {"category_id": 15, "poly": [89.0, 1230.0, 1537.0, 1228.0, 1537.0, 1262.0, 89.0, 1265.0], "score": 0.97, "text": "proposed dual-band double inverted F-shape antenna with enhanced bandwidth and effciency. Some techniques are employed such as increasing substrate thickness,"}, {"category_id": 15, "poly": [89.0, 1260.0, 1547.0, 1260.0, 1547.0, 1294.0, 89.0, 1294.0], "score": 0.98, "text": "changing patch by cutting rectangular slots, and cutting ground plane to achieve the resultant parameters such as impedance matching, gain, radiation pattern, and return"}, {"category_id": 15, "poly": [89.0, 1289.0, 1129.0, 1289.0, 1129.0, 1323.0, 89.0, 1323.0], "score": 0.97, "text": "loss. The results have been given a hint that the proposed antemna is appropriate for X-band and Ku-band applications."}, {"category_id": 15, "poly": [89.0, 1345.0, 470.0, 1345.0, 470.0, 1377.0, 89.0, 1377.0], "score": 0.99, "text": "2. Antenna Geometry and Optimization"}, {"category_id": 15, "poly": [89.0, 1606.0, 1488.0, 1606.0, 1488.0, 1640.0, 89.0, 1640.0], "score": 0.99, "text": "The geometry ofthe proposed antenna is as shown in Figure 1. The antenna consists ofrectangular conducting slots on patch and two on the ground. The design"}, {"category_id": 15, "poly": [89.0, 1667.0, 1523.0, 1667.0, 1523.0, 1701.0, 89.0, 1701.0], "score": 0.97, "text": "relative permittity 4.60, relative permeabilty 1, and dielectric loss tangent 0.02. A rectangular slot is cut fromone side of the copper patch to another. Another two"}, {"category_id": 15, "poly": [86.0, 1693.0, 1154.0, 1696.0, 1154.0, 1730.0, 86.0, 1727.0], "score": 0.98, "text": "rectangular slots are also cut from the middle ofthe patch. Five lateral rectangular slots are also cut from the ground plane."}, {"category_id": 15, "poly": [86.0, 1781.0, 684.0, 1779.0, 684.0, 1813.0, 86.0, 1815.0], "score": 0.98, "text": " Figure 1: The proposed antenna (a) top view and (b) Bottom view."}, {"category_id": 15, "poly": [93.0, 1864.0, 1168.0, 1864.0, 1168.0, 1898.0, 93.0, 1898.0], "score": 0.97, "text": "width, and slots of the proposed antenna endlessly. Here, microstrip line is used to provide feeding to the proposed antenna."}, {"category_id": 15, "poly": [89.0, 2207.0, 1542.0, 2207.0, 1542.0, 2239.0, 89.0, 2239.0], "score": 0.98, "text": "The return loss of simulation with different substrate materials is demonstrated in Figure 4. Teflon is a fuorine plastic that is very slippery with physical properties. It is a"}, {"category_id": 15, "poly": [89.0, 1552.0, 396.0, 1552.0, 396.0, 1584.0, 89.0, 1584.0], "score": 0.97, "text": "the dielectric constant of substrate,"}, {"category_id": 15, "poly": [91.0, 568.0, 826.0, 568.0, 826.0, 602.0, 91.0, 602.0], "score": 0.98, "text": "upper band, respectively. It has achieved stable radiation effciencies of 79. 76% and"}, {"category_id": 15, "poly": [904.0, 568.0, 1525.0, 568.0, 1525.0, 602.0, 904.0, 602.0], "score": 0.97, "text": "with average gains of 7.82 dBi and 5.66 dBi in the operating frequency"}, {"category_id": 15, "poly": [1489.0, 1966.0, 1535.0, 1969.0, 1535.0, 2010.0, 1489.0, 2008.0], "score": 1.0, "text": "The"}, {"category_id": 15, "poly": [422.0, 1552.0, 724.0, 1552.0, 724.0, 1584.0, 422.0, 1584.0], "score": 0.99, "text": " is the target center frequency, and"}, {"category_id": 15, "poly": [748.0, 1552.0, 1132.0, 1552.0, 1132.0, 1584.0, 748.0, 1584.0], "score": 0.99, "text": "is the effective dielectric constant. Consider"}, {"category_id": 15, "poly": [89.0, 509.0, 168.0, 509.0, 168.0, 541.0, 89.0, 541.0], "score": 1.0, "text": "board of"}, {"category_id": 15, "poly": [1481.0, 538.0, 1540.0, 538.0, 1540.0, 570.0, 1481.0, 570.0], "score": 0.96, "text": "on the"}, {"category_id": 15, "poly": [89.0, 538.0, 1149.0, 538.0, 1149.0, 570.0, 89.0, 570.0], "score": 0.99, "text": "element method (FEM) has been adopted in this investigation. It has a measured impedance bandwidths (2 : 1 VSWR) of"}, {"category_id": 15, "poly": [1226.0, 538.0, 1426.0, 538.0, 1426.0, 570.0, 1226.0, 570.0], "score": 0.98, "text": "on the lower band and"}, {"category_id": 15, "poly": [1544.0, 1406.0, 1564.0, 1406.0, 1564.0, 1440.0, 1544.0, 1440.0], "score": 0.71, "text": ".s"}, {"category_id": 15, "poly": [89.0, 1915.0, 608.0, 1915.0, 608.0, 1947.0, 89.0, 1947.0], "score": 1.0, "text": "The subminiature version A (SMA) connector that contains"}, {"category_id": 15, "poly": [660.0, 1915.0, 1476.0, 1915.0, 1476.0, 1947.0, 660.0, 1947.0], "score": 0.98, "text": "is conducted at the end of antenna feeding line for input RF signal. The input impedance of the"}, {"category_id": 15, "poly": [915.0, 1406.0, 1311.0, 1406.0, 1311.0, 1440.0, 915.0, 1440.0], "score": 0.95, "text": "and W are the length and width ofthe patch,"}, {"category_id": 15, "poly": [1327.0, 1406.0, 1520.0, 1406.0, 1520.0, 1440.0, 1327.0, 1440.0], "score": 0.92, "text": "is the velocity of ight,"}, {"category_id": 15, "poly": [91.0, 1835.0, 1186.0, 1835.0, 1186.0, 1866.0, 91.0, 1866.0], "score": 0.99, "text": "Thus, the proposed double inverted F-shape microstrip patch antenna is achieved. Two resonant frequencies, 11.32 GHz and"}, {"category_id": 15, "poly": [1293.0, 1835.0, 1552.0, 1835.0, 1552.0, 1866.0, 1293.0, 1866.0], "score": 0.98, "text": " are obtained adjusting length,"}, {"category_id": 15, "poly": [404.0, 509.0, 460.0, 509.0, 460.0, 541.0, 404.0, 541.0], "score": 0.94, "text": "with a"}, {"category_id": 15, "poly": [512.0, 509.0, 1508.0, 509.0, 1508.0, 541.0, 512.0, 541.0], "score": 0.97, "text": "microstrip transmission line. Commercially available high frequency structural simulator (HFSS) based on the finite "}, {"category_id": 15, "poly": [89.0, 1637.0, 1230.0, 1637.0, 1230.0, 1669.0, 89.0, 1669.0], "score": 0.97, "text": "procedure begins with the radiating patch with substrate, ground plane, and a feed line. It has been printed on a FR4 substrate with"}, {"category_id": 15, "poly": [1302.0, 1637.0, 1500.0, 1637.0, 1500.0, 1669.0, 1302.0, 1669.0], "score": 1.0, "text": "thickness that contains"}, {"category_id": 15, "poly": [1328.0, 1966.0, 1369.0, 1969.0, 1369.0, 2010.0, 1328.0, 2008.0], "score": 0.99, "text": "and"}, {"category_id": 15, "poly": [89.0, 331.0, 180.0, 331.0, 180.0, 365.0, 89.0, 365.0], "score": 1.0, "text": "Copyright"}, {"category_id": 15, "poly": [205.0, 331.0, 1488.0, 331.0, 1488.0, 365.0, 205.0, 365.0], "score": 0.97, "text": "2014 M. M. Islam et al This is an open access article distributed under the Creative Commons Atribution License, which permits unrestricted use,"}, {"category_id": 15, "poly": [89.0, 1944.0, 1018.0, 1942.0, 1018.0, 1976.0, 89.0, 1978.0], "score": 0.98, "text": "proposed antenna is as shown in Figure 2. Finally the optimal dimensions have been determined as follows:"}, {"category_id": 15, "poly": [89.0, 2005.0, 558.0, 2005.0, 558.0, 2039.0, 89.0, 2039.0], "score": 0.97, "text": "proposed prototype of the antenna is shown in Figure"}, {"category_id": 15, "poly": [89.0, 1406.0, 660.0, 1406.0, 660.0, 1440.0, 89.0, 1440.0], "score": 0.98, "text": "The length and width ofthe patch antenna can be calculated fom"}, {"category_id": 15, "poly": [691.0, 1406.0, 895.0, 1406.0, 895.0, 1440.0, 691.0, 1440.0], "score": 0.97, "text": "narrated in [17]. 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"poly": [661, 947, 716, 947, 716, 971, 661, 971], "score": 0.26, "latex": "5\\,\\mathrm{mm}"}, {"category_id": 13, "poly": [1528, 1086, 1548, 1086, 1548, 1109, 1528, 1109], "score": 0.25, "latex": "R"}, {"category_id": 15, "poly": [91.0, 78.0, 1532.0, 78.0, 1532.0, 112.0, 91.0, 112.0], "score": 0.98, "text": "brand for polytetrafluoroethylene (PTFE). When we used Teflon (tm) as a substrate material, there was no resonance on the lower band. But, resonance was found at"}, {"category_id": 15, "poly": [89.0, 195.0, 713.0, 195.0, 713.0, 227.0, 89.0, 227.0], "score": 0.99, "text": "Figure 4: Comparisons of simulated return loss with different materials."}, {"category_id": 15, "poly": [91.0, 249.0, 1550.0, 249.0, 1550.0, 283.0, 91.0, 283.0], "score": 0.97, "text": "Duroid (tm) is a circuit material with high frequency that is flled with PTFE composite. There are many benefts ofDuroid (tm) substrate material such as low outgassing"}, {"category_id": 15, "poly": [91.0, 278.0, 1537.0, 278.0, 1537.0, 312.0, 91.0, 312.0], "score": 0.98, "text": "for space applications, low moisture absorption, and low electrical loss. This material is extensively used in space satelite transceivers, radar systems based on ground"}, {"category_id": 15, "poly": [91.0, 307.0, 1545.0, 307.0, 1545.0, 341.0, 91.0, 341.0], "score": 0.98, "text": "and airbome, missile guidance systems, and military radar systems. When we used Duroid (tm) as a substrate material there was no resonance on the upper band. But,"}, {"category_id": 15, "poly": [91.0, 387.0, 1532.0, 387.0, 1532.0, 422.0, 91.0, 422.0], "score": 0.96, "text": "Bakelite is one type ofplastic that is a thermosetting phenol formaldehyde resin. It is made from synthetic components achieved from an elmination reaction of phenol"}, {"category_id": 15, "poly": [91.0, 417.0, 1486.0, 417.0, 1486.0, 451.0, 91.0, 451.0], "score": 0.98, "text": "with formaldehyde. It has several uses such as in radio, electrical insulators, and telephone casings. When we used Bakelite as a substrate material, there was no"}, {"category_id": 15, "poly": [89.0, 478.0, 145.0, 478.0, 145.0, 507.0, 89.0, 507.0], "score": 0.99, "text": "GHz)."}, {"category_id": 15, "poly": [91.0, 529.0, 1515.0, 529.0, 1515.0, 563.0, 91.0, 563.0], "score": 0.98, "text": "Aluminum is a silvery soft, white ductle material. Alminium is extensively used in transportation, aerospace industry, and structural materials. It has low density and"}, {"category_id": 15, "poly": [91.0, 558.0, 1550.0, 558.0, 1550.0, 592.0, 91.0, 592.0], "score": 0.98, "text": "abilty to resist corrosion for which it is popular. When we used aluminum as a substrate material there was no resonance on the lower band. But,resonance was found"}, {"category_id": 15, "poly": [89.0, 638.0, 1528.0, 638.0, 1528.0, 672.0, 89.0, 672.0], "score": 0.98, "text": "Finaly, FR4 has been used in the proposed design as substrate material. One resonance was achieved at 11.32 GHz center frequency on the lower band and another"}, {"category_id": 15, "poly": [91.0, 668.0, 1072.0, 668.0, 1072.0, 702.0, 91.0, 702.0], "score": 0.97, "text": "resonance at 14.96 GHz on the upper band. The dielectric properties of the materials have been listed in Table 1."}, {"category_id": 15, "poly": [89.0, 755.0, 549.0, 755.0, 549.0, 787.0, 89.0, 787.0], "score": 0.99, "text": "Table 1: Dielectric properties of substrate materials."}, {"category_id": 15, "poly": [91.0, 806.0, 1562.0, 806.0, 1562.0, 841.0, 91.0, 841.0], "score": 0.96, "text": "A parametric study has been done to observe the effects ofthe proposed antenna parameters. Mainly, the effects ofthe difeent parameters on the return loss have been"}, {"category_id": 15, "poly": [91.0, 838.0, 182.0, 838.0, 182.0, 865.0, 91.0, 865.0], "score": 1.0, "text": "observed."}, {"category_id": 15, "poly": [84.0, 1574.0, 342.0, 1574.0, 342.0, 1606.0, 84.0, 1606.0], "score": 0.97, "text": " 3. Results and Discussion"}, {"category_id": 15, "poly": [89.0, 1637.0, 1518.0, 1637.0, 1518.0, 1669.0, 89.0, 1669.0], "score": 0.98, "text": "The anechoic chamber used in this study which was conducted by the microwave laboratory, at the Institute of Space Science (ANGKASA), UKM, Malaysia, had"}, {"category_id": 15, "poly": [89.0, 1669.0, 1523.0, 1669.0, 1523.0, 1701.0, 89.0, 1701.0], "score": 0.97, "text": "been ilustrated in Figure 8. The dimensions ofthis anechoic chamber are 5.5 \u00d7 4.5 \u00d7 3.5 m?'. A reference antenna, a horn antenna, was used in this analysis that was"}, {"category_id": 15, "poly": [89.0, 1844.0, 760.0, 1844.0, 760.0, 1879.0, 89.0, 1879.0], "score": 0.99, "text": "Figure 8: The photograph of anechoic chamber for prototype measurement."}, {"category_id": 15, "poly": [89.0, 1896.0, 1513.0, 1896.0, 1513.0, 1927.0, 89.0, 1927.0], "score": 0.97, "text": "The return loss with measurement and simulation of the proposed microstrip antenna has been demonstrated in Figure 9. The -10 dB bandwidths of2.12 GHz from"}, {"category_id": 15, "poly": [91.0, 1925.0, 1540.0, 1925.0, 1540.0, 1959.0, 91.0, 1959.0], "score": 0.99, "text": "10.92 GHz to 13.04 GHz and 1.08 GHz from 14.40 GHz to 15.48 GHz have been achieved from the measurements which show that at the lower band the resonance"}, {"category_id": 15, "poly": [91.0, 1954.0, 1560.0, 1954.0, 1560.0, 1988.0, 91.0, 1988.0], "score": 0.96, "text": "shifted from 11.32 GHz to 11.44 GHz and the bandwidth slightly decreased. Moreover, at the upper band the resonant frequency shifted from 14.96 GHz to 14.84 GHz"}, {"category_id": 15, "poly": [91.0, 2071.0, 844.0, 2071.0, 844.0, 2103.0, 91.0, 2103.0], "score": 0.99, "text": "Figure 9: Comparisons between simulated and measured return loss on FR4 material."}, {"category_id": 15, "poly": [91.0, 2122.0, 1520.0, 2122.0, 1520.0, 2156.0, 91.0, 2156.0], "score": 0.97, "text": "Gain ofthe proposed antenna has been shown in Figure 10. Figure 10 has ilustrated that 7.82 dBi achieved at the frst resonance for 11.44 GHz and 5.66 dBiat the"}, {"category_id": 15, "poly": [91.0, 2151.0, 1547.0, 2151.0, 1547.0, 2186.0, 91.0, 2186.0], "score": 0.97, "text": "second resonance 14.84 GHz In adition, the gain for the upper band is less than that for the lower band. Figure 11 shows VSWR ofthe proposed antenna. The value"}, {"category_id": 15, "poly": [91.0, 2181.0, 1552.0, 2181.0, 1552.0, 2215.0, 91.0, 2215.0], "score": 0.97, "text": "of VSWR is less than 2 that is found fromthe graph apparently. It is a desired value. Figure 12 has shown the radiation effciency of the proposed antenna. In Figure 11,"}, {"category_id": 15, "poly": [91.0, 2210.0, 1537.0, 2210.0, 1537.0, 2242.0, 91.0, 2242.0], "score": 0.98, "text": "the average lower band efficiency is 79.76% whereas 80.36% is the higher band efficiency. It can also be observed that lower band radiation efficiency is smaller than"}, {"category_id": 15, "poly": [89.0, 1230.0, 702.0, 1230.0, 702.0, 1262.0, 89.0, 1262.0], "score": 0.99, "text": "better coupling has been acquired at the upper band using the value of"}, {"category_id": 15, "poly": [89.0, 1318.0, 570.0, 1318.0, 570.0, 1350.0, 89.0, 1350.0], "score": 0.98, "text": "Figure 6: Reflection coefficient with different values off"}, {"category_id": 15, "poly": [605.0, 1318.0, 612.0, 1318.0, 612.0, 1350.0, 605.0, 1350.0], "score": 0.54, "text": "\uff1a"}, {"category_id": 15, "poly": [89.0, 1087.0, 168.0, 1087.0, 168.0, 1121.0, 89.0, 1121.0], "score": 0.92, "text": "By using"}, {"category_id": 15, "poly": [89.0, 1170.0, 497.0, 1170.0, 497.0, 1201.0, 89.0, 1201.0], "score": 0.97, "text": "The reflection coeficient for different values of"}, {"category_id": 15, "poly": [91.0, 1430.0, 1134.0, 1430.0, 1134.0, 1464.0, 91.0, 1464.0], "score": 0.98, "text": "microstrip line has greater significance to the coupling at the entire frequency bands. The coupling can be achieved when"}, {"category_id": 15, "poly": [89.0, 1369.0, 629.0, 1369.0, 629.0, 1401.0, 89.0, 1401.0], "score": 0.98, "text": "Figure Z shows the reflection coefficient for different values of"}, {"category_id": 15, "poly": [86.0, 1520.0, 570.0, 1515.0, 570.0, 1547.0, 86.0, 1552.0], "score": 0.96, "text": "Figure 7: Reflection coeficient with different values of"}, {"category_id": 15, "poly": [1215.0, 1199.0, 1562.0, 1199.0, 1562.0, 1233.0, 1215.0, 1233.0], "score": 0.98, "text": ". It was seen from the graph clearly that"}, {"category_id": 15, "poly": [89.0, 887.0, 148.0, 887.0, 148.0, 919.0, 89.0, 919.0], "score": 1.0, "text": "Figure"}, {"category_id": 15, "poly": [1169.0, 1430.0, 1190.0, 1430.0, 1190.0, 1464.0, 1169.0, 1464.0], "score": 0.81, "text": ".s"}, {"category_id": 15, "poly": [737.0, 1230.0, 764.0, 1230.0, 764.0, 1262.0, 737.0, 1262.0], "score": 1.0, "text": "as"}, {"category_id": 15, "poly": [822.0, 1230.0, 1121.0, 1230.0, 1121.0, 1262.0, 822.0, 1262.0], "score": 0.97, "text": " That is why the optimized value is"}, {"category_id": 15, "poly": [533.0, 1170.0, 720.0, 1170.0, 720.0, 1201.0, 533.0, 1201.0], "score": 0.98, "text": " is as shown in Figure"}, {"category_id": 15, "poly": [1171.0, 1399.0, 1503.0, 1399.0, 1503.0, 1433.0, 1171.0, 1433.0], "score": 0.99, "text": ". It was observed that the width of the"}, {"category_id": 15, "poly": [1158.0, 916.0, 1537.0, 914.0, 1537.0, 948.0, 1158.0, 950.0], "score": 0.97, "text": " It was shown that resonances were shifted"}, {"category_id": 15, "poly": [89.0, 1107.0, 106.0, 1117.0, 106.0, 1154.0, 85.0, 1144.0], "score": 0.59, "text": ".5"}, {"category_id": 15, "poly": [939.0, 1399.0, 979.0, 1399.0, 979.0, 1433.0, 939.0, 1433.0], "score": 1.0, "text": "and"}, {"category_id": 15, "poly": [206.0, 1399.0, 463.0, 1399.0, 463.0, 1433.0, 206.0, 1433.0], "score": 0.96, "text": "W2 = 7 mm, Lg = 40 mm,"}, {"category_id": 15, "poly": [89.0, 1698.0, 1051.0, 1698.0, 1051.0, 1732.0, 89.0, 1732.0], "score": 0.97, "text": "double ridge guided. Pyramidal shaped absorbers have been used on the walls, ceiling, and floor with less than"}, {"category_id": 15, "poly": [1095.0, 1698.0, 1500.0, 1698.0, 1500.0, 1732.0, 1095.0, 1732.0], "score": 0.98, "text": "dB reflectivity. The diameter of the turntable is"}, {"category_id": 15, "poly": [112.0, 1757.0, 886.0, 1757.0, 886.0, 1788.0, 112.0, 1788.0], "score": 0.99, "text": "shaped proposed antenna has been measured in a standard far-field testing environment."}, {"category_id": 15, "poly": [939.0, 916.0, 979.0, 914.0, 979.0, 948.0, 939.0, 950.0], "score": 1.0, "text": "and"}, {"category_id": 15, "poly": [89.0, 587.0, 776.0, 587.0, 776.0, 621.0, 89.0, 621.0], "score": 0.98, "text": "at 14.32 GHz centre frequency on the upper band where -10 dB bandwidth is"}, {"category_id": 15, "poly": [1158.0, 446.0, 1540.0, 443.0, 1540.0, 478.0, 1158.0, 480.0], "score": 0.98, "text": "bandwidth is 1.68 GHz (14.64 GHz-13.96"}, {"category_id": 15, "poly": [91.0, 1725.0, 1198.0, 1725.0, 1198.0, 1759.0, 91.0, 1759.0], "score": 0.99, "text": "A vector network analyzer (VNA) (model mumber: Agilent E8362C) has been used for the measurements with a range ofup to"}, {"category_id": 15, "poly": [1277.0, 1725.0, 1560.0, 1725.0, 1560.0, 1759.0, 1277.0, 1759.0], "score": 0.98, "text": "In this way, the prototype of the"}, {"category_id": 15, "poly": [86.0, 446.0, 607.0, 443.0, 607.0, 478.0, 86.0, 480.0], "score": 1.0, "text": "resonance on the lower band. But, resonance was found at"}, {"category_id": 15, "poly": [710.0, 446.0, 1083.0, 443.0, 1083.0, 478.0, 710.0, 480.0], "score": 0.99, "text": "center frequency on the upper band where"}, {"category_id": 15, "poly": [740.0, 1170.0, 836.0, 1170.0, 836.0, 1201.0, 740.0, 1201.0], "score": 0.92, "text": " It includes"}, {"category_id": 15, "poly": [167.0, 887.0, 633.0, 887.0, 633.0, 919.0, 167.0, 919.0], "score": 0.98, "text": "shows the reflection coeffcient for different values of"}, {"category_id": 15, "poly": [654.0, 887.0, 755.0, 887.0, 755.0, 919.0, 654.0, 919.0], "score": 0.96, "text": " It includes"}, {"category_id": 15, "poly": [850.0, 334.0, 966.0, 334.0, 966.0, 368.0, 850.0, 368.0], "score": 1.0, "text": "bandwidth is"}, {"category_id": 15, "poly": [597.0, 1199.0, 606.0, 1199.0, 606.0, 1233.0, 597.0, 1233.0], "score": 0.91, "text": "\uff0c"}, {"category_id": 15, "poly": [91.0, 334.0, 301.0, 334.0, 301.0, 368.0, 91.0, 368.0], "score": 0.99, "text": "resonance was found at"}, {"category_id": 15, "poly": [404.0, 334.0, 775.0, 334.0, 775.0, 368.0, 404.0, 368.0], "score": 1.0, "text": "center frequency on the lower band where"}, {"category_id": 15, "poly": [982.0, 1199.0, 1022.0, 1199.0, 1022.0, 1233.0, 982.0, 1233.0], "score": 1.0, "text": "and"}, {"category_id": 15, "poly": [91.0, 1199.0, 131.0, 1199.0, 131.0, 1233.0, 91.0, 1233.0], "score": 0.92, "text": "mm,"}, {"category_id": 15, "poly": [86.0, 1976.0, 511.0, 1981.0, 511.0, 2022.0, 86.0, 2017.0], "score": 0.95, "text": "and the bandwidth decreased fom 1.16 GHzto"}, {"category_id": 15, "poly": [605.0, 1976.0, 1144.0, 1981.0, 1144.0, 2022.0, 605.0, 2017.0], "score": 0.91, "text": "whie the retum los ale decreased at resonancefequency."}, {"category_id": 15, "poly": [664.0, 1369.0, 766.0, 1369.0, 766.0, 1401.0, 664.0, 1401.0], "score": 0.97, "text": ". It includes"}, {"category_id": 15, "poly": [89.0, 1035.0, 633.0, 1035.0, 633.0, 1067.0, 89.0, 1067.0], "score": 0.98, "text": "Figure 5: Reflection coefficient with different values of radius,"}, {"category_id": 15, "poly": [86.0, 105.0, 565.0, 107.0, 565.0, 149.0, 86.0, 146.0], "score": 0.98, "text": "14.68 GHz center fequency on the upper band where"}, {"category_id": 15, "poly": [608.0, 105.0, 755.0, 107.0, 755.0, 149.0, 608.0, 146.0], "score": 0.97, "text": "dB bandwidth is"}, {"category_id": 15, "poly": [86.0, 945.0, 660.0, 948.0, 660.0, 982.0, 86.0, 979.0], "score": 0.97, "text": " on both ofthe lower and upper bands using the value ofradius as"}, {"category_id": 15, "poly": [717.0, 945.0, 753.0, 948.0, 753.0, 982.0, 717.0, 979.0], "score": 1.0, "text": "and"}, {"category_id": 15, "poly": [273.0, 1087.0, 1527.0, 1087.0, 1527.0, 1121.0, 273.0, 1121.0], "score": 0.98, "text": " desired dual band has been obtained with improved bandwidth on both ofthe lower and upper bands. 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"14.96\\,\\mathrm{GHz}"}, {"category_id": 13, "poly": [990, 2055, 1003, 2055, 1003, 2070, 990, 2070], "score": 0.33, "latex": "\\cdot"}, {"category_id": 13, "poly": [463, 1433, 553, 1433, 553, 1460, 463, 1460], "score": 0.33, "latex": "1.08\\,\\mathrm{GHz}"}, {"category_id": 13, "poly": [605, 1996, 619, 1996, 619, 2012, 605, 2012], "score": 0.27, "latex": "\\cdot"}, {"category_id": 13, "poly": [760, 2054, 774, 2054, 774, 2069, 760, 2069], "score": 0.26, "latex": "\\cdot"}, {"category_id": 13, "poly": [1035, 542, 1138, 542, 1138, 571, 1035, 571], "score": 0.25, "latex": "11.32\\,\\mathrm{GHz}"}, {"category_id": 13, "poly": [364, 572, 466, 572, 466, 599, 364, 599], "score": 0.25, "latex": "14.96\\,\\mathrm{GHz}"}, {"category_id": 15, "poly": [89.0, 168.0, 460.0, 168.0, 460.0, 202.0, 89.0, 202.0], "score": 0.98, "text": "Figure 10: Gain of the proposed antenna."}, {"category_id": 15, "poly": [91.0, 234.0, 482.0, 234.0, 482.0, 266.0, 91.0, 266.0], "score": 0.99, "text": "Figure 11: VSWR of the proposed antenna"}, {"category_id": 15, "poly": [89.0, 297.0, 588.0, 297.0, 588.0, 331.0, 89.0, 331.0], "score": 0.98, "text": "Figure 12: Radiation efficiency of the proposed antenna."}, {"category_id": 15, "poly": [89.0, 348.0, 1545.0, 348.0, 1545.0, 383.0, 89.0, 383.0], "score": 0.97, "text": "Figure 13 has been shown the current distribution ofthe proposed antenna for (a) 11.32 GHz and (b) 14.96 GHz It can be seen that a large amount of current flows at"}, {"category_id": 15, "poly": [91.0, 378.0, 1560.0, 378.0, 1560.0, 409.0, 91.0, 409.0], "score": 0.98, "text": "feeding line. Electric field has been created much in this point. Current distribution is more stable in lower band than in upper band. The creation ofelectric field near slots"}, {"category_id": 15, "poly": [89.0, 407.0, 1156.0, 407.0, 1156.0, 439.0, 89.0, 439.0], "score": 0.98, "text": "is reasonable. As a result, excitation is strong in the entire parts of the antenna on both the lower band and the upper band."}, {"category_id": 15, "poly": [86.0, 492.0, 699.0, 490.0, 699.0, 524.0, 86.0, 526.0], "score": 0.97, "text": "Figure 13: Current distribution at (a) 11.32 GHz and (b) 14.96 GHz."}, {"category_id": 15, "poly": [89.0, 604.0, 1518.0, 604.0, 1518.0, 638.0, 89.0, 638.0], "score": 0.98, "text": "polarization in radiation pattern is lowermicrostrp antenna. The cross-polarization effect is higher in the H-plane for both resonances. When frequency increases, the"}, {"category_id": 15, "poly": [89.0, 633.0, 1515.0, 633.0, 1515.0, 668.0, 89.0, 668.0], "score": 0.96, "text": "effect increases interpreting from the radiation pattern simply. Moreover, almost omnidirectional and symmetrical radiation patterns have been attained along both E"}, {"category_id": 15, "poly": [91.0, 665.0, 258.0, 665.0, 258.0, 692.0, 91.0, 692.0], "score": 1.0, "text": "plane and H-plane."}, {"category_id": 15, "poly": [89.0, 748.0, 1518.0, 748.0, 1518.0, 782.0, 89.0, 782.0], "score": 0.99, "text": "Figure 14: Radiation patterns of the proposed antenna, (a) 11.32 GHz at E-plane, (b) 11.32 at H-plane, (c) 14.96 GHz at E-plane, and (d) 14.96 GHz at H-plane."}, {"category_id": 15, "poly": [86.0, 797.0, 1542.0, 799.0, 1542.0, 833.0, 86.0, 831.0], "score": 0.97, "text": "It has been observed that the same radiation pattern exists over the X- and Ku-bands. The obtained radiation patterns denote that the proposed antenna delivers linear"}, {"category_id": 15, "poly": [89.0, 831.0, 1537.0, 831.0, 1537.0, 863.0, 89.0, 863.0], "score": 0.98, "text": "polarization where the level of cross-polarization is lower than that of copolarization in allof the simulated radiation patterns. When the radiation pattern ofa microstrip"}, {"category_id": 15, "poly": [89.0, 858.0, 1537.0, 855.0, 1537.0, 889.0, 89.0, 892.0], "score": 0.97, "text": "antenna is symmetric and ommidirectional, it faces some reasonable benefits. One is that resonance would never be shifed at diferent directions and a large amount of"}, {"category_id": 15, "poly": [89.0, 887.0, 1444.0, 884.0, 1444.0, 919.0, 89.0, 921.0], "score": 0.98, "text": "stable power would be at the direction of broadside beam Another advantage is that the radiation patterm would be more durable on the operational bands."}, {"category_id": 15, "poly": [91.0, 938.0, 1532.0, 938.0, 1532.0, 972.0, 91.0, 972.0], "score": 0.97, "text": "The phase variation ofthe proposed antenna is plotted in Figure 15. It is realized from the graph that the proposed antenna has the phase variation that is Inear across"}, {"category_id": 15, "poly": [91.0, 970.0, 1560.0, 970.0, 1560.0, 1004.0, 91.0, 1004.0], "score": 0.97, "text": "both the upper and the lower operating frequency bands. This phase variation indicates that all the frequency components of the signal have the same pulse distortion due"}, {"category_id": 15, "poly": [86.0, 994.0, 1122.0, 994.0, 1122.0, 1035.0, 86.0, 1035.0], "score": 0.96, "text": "to the same propagation delay. Comparisons between existing and proposed antenas have been tabulated in Table 2."}, {"category_id": 15, "poly": [91.0, 1087.0, 657.0, 1087.0, 657.0, 1118.0, 91.0, 1118.0], "score": 0.99, "text": "Table 2: Comparisons between existing and proposed antennas."}, {"category_id": 15, "poly": [89.0, 1150.0, 521.0, 1150.0, 521.0, 1182.0, 89.0, 1182.0], "score": 0.98, "text": "Figure 15: Phase value of the proposed antenna."}, {"category_id": 15, "poly": [89.0, 1201.0, 1510.0, 1201.0, 1510.0, 1233.0, 89.0, 1233.0], "score": 0.98, "text": "The Smith chart ofthe proposed antenna is shown in Figure 16. Two resonances ml and m2 are identified clearly from this chart which has validated the evidences."}, {"category_id": 15, "poly": [89.0, 1289.0, 517.0, 1289.0, 517.0, 1323.0, 89.0, 1323.0], "score": 1.0, "text": "Figure 16: Smith chart of the proposed antenna."}, {"category_id": 15, "poly": [91.0, 1350.0, 224.0, 1350.0, 224.0, 1377.0, 91.0, 1377.0], "score": 1.0, "text": "4. Conclusion"}, {"category_id": 15, "poly": [89.0, 1494.0, 1503.0, 1494.0, 1503.0, 1528.0, 89.0, 1528.0], "score": 0.96, "text": "for the proposed antenna for dual frequency operation has also been improved than conventional It is realized that a good combination has been focused between"}, {"category_id": 15, "poly": [89.0, 1523.0, 1508.0, 1523.0, 1508.0, 1554.0, 89.0, 1554.0], "score": 0.99, "text": "measurements and simulations that validate our proposed double F-shaped design concept. The patch resonator, compact size, stable radiation patterns, low cross"}, {"category_id": 15, "poly": [89.0, 1550.0, 1545.0, 1550.0, 1545.0, 1581.0, 89.0, 1581.0], "score": 0.98, "text": "polarization, efficiency with improved bandwidth, and higher gain have made the proposed double F-shaped antenna compatible for X-band and Ku-band applications."}, {"category_id": 15, "poly": [91.0, 1615.0, 285.0, 1615.0, 285.0, 1640.0, 91.0, 1640.0], "score": 0.98, "text": "Conflict of Interests"}, {"category_id": 15, "poly": [89.0, 1671.0, 903.0, 1671.0, 903.0, 1703.0, 89.0, 1703.0], "score": 0.97, "text": "The authors declare that there is no conflict of interests regarding the publication of this paper."}, {"category_id": 15, "poly": [91.0, 1732.0, 204.0, 1732.0, 204.0, 1759.0, 91.0, 1759.0], "score": 1.0, "text": "References"}, {"category_id": 15, "poly": [113.0, 1788.0, 1537.0, 1788.0, 1537.0, 1822.0, 113.0, 1822.0], "score": 0.97, "text": "1. Y.-C. Lu and Y.-C. 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The measured impedance bandwidths (2 : 1"}, {"category_id": 15, "poly": [1004.0, 2049.0, 1146.0, 2049.0, 1146.0, 2083.0, 1004.0, 2083.0], "score": 0.96, "text": "View at Scopus"}, {"category_id": 15, "poly": [91.0, 1433.0, 462.0, 1433.0, 462.0, 1467.0, 91.0, 1467.0], "score": 1.0, "text": "VSWR) 2.12 GHz on the upper band and"}, {"category_id": 15, "poly": [554.0, 1433.0, 1560.0, 1433.0, 1560.0, 1467.0, 554.0, 1467.0], "score": 0.98, "text": "on the lower band with average gains of 7.82 dBi and 5.66 dBi have been achieved belonging to radiation eficiency"}, {"category_id": 15, "poly": [143.0, 1991.0, 604.0, 1991.0, 604.0, 2025.0, 143.0, 2025.0], "score": 0.99, "text": " 56, no. 5, pp. 1498-1501, 2008. 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\ No newline at end of file

tests/test_cli/test_cli.py

+import pytest
+import os
+from conf import conf
+import subprocess
+from lib import common
+import logging
+pdf_res_path = conf.conf["pdf_res_path"]
+code_path = conf.conf["code_path"]
+pdf_dev_path = conf.conf["pdf_dev_path"]
+class TestCli:
+   
+    def test_pdf_specify_dir(self):
+        """
+        输入pdf和指定目录的模型结果
+        """
+        cmd = 'cd %s && export PYTHONPATH=. && find %s -type f -name "*.pdf" | xargs -I{} python magic_pdf/cli/magicpdf.py  pdf-command  --pdf {}' % (code_path, pdf_dev_path)
+        logging.info(cmd)
+        common.check_shell(cmd)
+        common.count_folders_and_check_contents(pdf_res_path)      
+   
+
+    def test_pdf_specify_jsonl(self):
+        """
+        输入jsonl
+        """
+        cmd = "cd %s && export PYTHONPATH=. && python " 
+
+ 
+
+if __name__ == "__main__":
+    pytest.main()