光子晶体光纤边界积分方程加速的h矩阵求解器

IF 0.7 Q4 ENGINEERING, ELECTRICAL & ELECTRONIC Progress in Electromagnetics Research M Pub Date : 2023-01-01 DOI:10.2528/pierm23032408

Jean-René Poirier, Julien Vincent, Priscillia Daquin, Ronan Perrussel, Han Cheng Seat

{"title":"光子晶体光纤边界积分方程加速的h矩阵求解器","authors":"Jean-René Poirier, Julien Vincent, Priscillia Daquin, Ronan Perrussel, Han Cheng Seat","doi":"10.2528/pierm23032408","DOIUrl":null,"url":null,"abstract":"|A waveguide mode solver based on boundary integral equation (BIE) method and matrix compression is developed in this study. Using an accurate discretization based on a Nystr(cid:127)om method and a kernel-splitting technique, the BIE method gives rise to three diﬀerent formulations of a nonlinear eigenvalue problem. H -matrices are used in order to accelerate and increase the precision of the subsequent computations. Results from these investigations on a canonical photonic crystal (cid:12)ber (PCF) chosen as an example demonstrate that the data sparse representation of the BIE discretization reduces the memory storage, as well as the assembly and solution times.","PeriodicalId":39028,"journal":{"name":"Progress in Electromagnetics Research M","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"H-matrix Solver for the Acceleration of Boundary Integral Equation for Photonic Crystal Fiber\",\"authors\":\"Jean-René Poirier, Julien Vincent, Priscillia Daquin, Ronan Perrussel, Han Cheng Seat\",\"doi\":\"10.2528/pierm23032408\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"|A waveguide mode solver based on boundary integral equation (BIE) method and matrix compression is developed in this study. Using an accurate discretization based on a Nystr(cid:127)om method and a kernel-splitting technique, the BIE method gives rise to three diﬀerent formulations of a nonlinear eigenvalue problem. H -matrices are used in order to accelerate and increase the precision of the subsequent computations. Results from these investigations on a canonical photonic crystal (cid:12)ber (PCF) chosen as an example demonstrate that the data sparse representation of the BIE discretization reduces the memory storage, as well as the assembly and solution times.\",\"PeriodicalId\":39028,\"journal\":{\"name\":\"Progress in Electromagnetics Research M\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Progress in Electromagnetics Research M\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2528/pierm23032408\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Progress in Electromagnetics Research M","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2528/pierm23032408","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}

引用次数: 0

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

H-matrix Solver for the Acceleration of Boundary Integral Equation for Photonic Crystal Fiber

|A waveguide mode solver based on boundary integral equation (BIE) method and matrix compression is developed in this study. Using an accurate discretization based on a Nystr(cid:127)om method and a kernel-splitting technique, the BIE method gives rise to three diﬀerent formulations of a nonlinear eigenvalue problem. H -matrices are used in order to accelerate and increase the precision of the subsequent computations. Results from these investigations on a canonical photonic crystal (cid:12)ber (PCF) chosen as an example demonstrate that the data sparse representation of the BIE discretization reduces the memory storage, as well as the assembly and solution times.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Progress in Electromagnetics Research M Materials Science-Electronic, Optical and Magnetic Materials

CiteScore

2.50

自引率

10.00%

发文量

114

期刊介绍： Progress In Electromagnetics Research (PIER) M publishes peer-reviewed original and comprehensive articles on all aspects of electromagnetic theory and applications. Especially, PIER M publishes papers on method of electromagnetics, and other topics on electromagnetic theory. It is an open access, on-line journal in 2008, and freely accessible to all readers via the Internet. Manuscripts submitted to PIER M must not have been submitted simultaneously to other journals.