M. V. van Beurden, T. Zacharopoulou, A. Roc’h, Mark G. M. M. van Kraaij
{"title":"A pseudo-spectral longitudinal expansion in a spectral domain integral equation for scattering by periodic dielectric structures","authors":"M. V. van Beurden, T. Zacharopoulou, A. Roc’h, Mark G. M. M. van Kraaij","doi":"10.1109/ICEAA.2015.7297353","DOIUrl":null,"url":null,"abstract":"We explore several options to introduce a pseudo-spectral expansion along the longitudinal direction in a spectral-domain integral equation for scattering by periodic dielectric structures. To this end we first simplify the integral equation to the formulation for a one-dimensional dielectric slab and consider the computational efficiency, convergence, and conditioning of several schemes. One scheme has been implemented in the domain integral equation and it exhibits exponential convergence with respect to the number of expansion functions in the longitudinal direction.","PeriodicalId":277112,"journal":{"name":"2015 International Conference on Electromagnetics in Advanced Applications (ICEAA)","volume":"68 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 International Conference on Electromagnetics in Advanced Applications (ICEAA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICEAA.2015.7297353","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
We explore several options to introduce a pseudo-spectral expansion along the longitudinal direction in a spectral-domain integral equation for scattering by periodic dielectric structures. To this end we first simplify the integral equation to the formulation for a one-dimensional dielectric slab and consider the computational efficiency, convergence, and conditioning of several schemes. One scheme has been implemented in the domain integral equation and it exhibits exponential convergence with respect to the number of expansion functions in the longitudinal direction.
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