{"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}
引用次数: 0
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.
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.
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