{"title":"Analysis of rectangular-cell double-periodic magneto-dielectric gratings","authors":"N. Ryazantseva, V. Yachin","doi":"10.1109/DIPED.1999.822128","DOIUrl":null,"url":null,"abstract":"The problem of electromagnetic wave scattering by a double-periodic grating is solved by a new method based on the rigorous volume integro-differential equations. The Galerkin method is applied to reduce these volume integro-differential equations to a set of second-order differential ones with constant coefficients in functionals. Numerical solutions were obtained for the simplest double-periodic magneto-dielectric rectangular-cell grating as an example of a structure with translational symmetry.","PeriodicalId":426777,"journal":{"name":"DIPED - 99. Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory. Proceedings of 4th International Seminar/Workshop (IEEE Cat. No.99TH8402)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"DIPED - 99. Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory. Proceedings of 4th International Seminar/Workshop (IEEE Cat. No.99TH8402)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DIPED.1999.822128","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract

The problem of electromagnetic wave scattering by a double-periodic grating is solved by a new method based on the rigorous volume integro-differential equations. The Galerkin method is applied to reduce these volume integro-differential equations to a set of second-order differential ones with constant coefficients in functionals. Numerical solutions were obtained for the simplest double-periodic magneto-dielectric rectangular-cell grating as an example of a structure with translational symmetry.
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矩形单元双周期磁介质光栅的分析
采用基于严格体积积分-微分方程的新方法求解双周期光栅的电磁波散射问题。应用伽辽金方法将这些体积积分微分方程化为一组常系数泛函二阶微分方程。以平动对称结构为例,得到了最简单的双周期磁介质矩形格栅的数值解。
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