{"title":"矩形单元双周期磁介质光栅的分析","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":"{\"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}","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}
Analysis of rectangular-cell double-periodic magneto-dielectric gratings
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.