{"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":null,"pages":null},"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}
引用次数: 0
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.
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