{"title":"椭圆截面介质波导截止波数的解析计算","authors":"G. P. Zouros, J. Roumeliotis","doi":"10.23919/EUMC.2012.6459385","DOIUrl":null,"url":null,"abstract":"The cutoff wavenumbers of the elliptical dielectric waveguide are obtained through analytical expressions, when the eccentricity h of the elliptical core is specialized to small values. In this case, analytical, closed-form algebraic expressions, free of Mathieu functions, are obtained for the cutoff wavenumbers. These expressions are valid for every different value of the indices s and n, corresponding to every higher-order hybrid mode. Numerical results are given for various higher-order modes, as well as a comparison with the exact solution.","PeriodicalId":266910,"journal":{"name":"2012 42nd European Microwave Conference","volume":"45 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analytical calculation of cutoff wavenumbers of dielectric waveguides with elliptical cross section\",\"authors\":\"G. P. Zouros, J. Roumeliotis\",\"doi\":\"10.23919/EUMC.2012.6459385\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The cutoff wavenumbers of the elliptical dielectric waveguide are obtained through analytical expressions, when the eccentricity h of the elliptical core is specialized to small values. In this case, analytical, closed-form algebraic expressions, free of Mathieu functions, are obtained for the cutoff wavenumbers. These expressions are valid for every different value of the indices s and n, corresponding to every higher-order hybrid mode. Numerical results are given for various higher-order modes, as well as a comparison with the exact solution.\",\"PeriodicalId\":266910,\"journal\":{\"name\":\"2012 42nd European Microwave Conference\",\"volume\":\"45 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 42nd European Microwave Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23919/EUMC.2012.6459385\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 42nd European Microwave Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/EUMC.2012.6459385","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Analytical calculation of cutoff wavenumbers of dielectric waveguides with elliptical cross section
The cutoff wavenumbers of the elliptical dielectric waveguide are obtained through analytical expressions, when the eccentricity h of the elliptical core is specialized to small values. In this case, analytical, closed-form algebraic expressions, free of Mathieu functions, are obtained for the cutoff wavenumbers. These expressions are valid for every different value of the indices s and n, corresponding to every higher-order hybrid mode. Numerical results are given for various higher-order modes, as well as a comparison with the exact solution.
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