O. Ivanova, R. Stoffer, Manfred Hammer, E. V. Groesen
{"title":"A vectorial variational mode solver and its application to piecewise constant and diffused waveguides","authors":"O. Ivanova, R. Stoffer, Manfred Hammer, E. V. Groesen","doi":"10.1109/MMET.2008.4581041","DOIUrl":null,"url":null,"abstract":"A variational vectorial mode solver for 3-D dielectric waveguides with arbitrary 2-D cross-sections is proposed. It is based on expansion of each component of a mode profile as a superposition of some a priori defined functions defined on one coordinate axis times some unknown continuous coefficient functions, defined on the other axis. By applying a variational restriction procedure the unknown coefficient functions are determined as an optimum approximation of the true vectorial mode profile. A couple of examples illustrate the performance of the method.","PeriodicalId":141554,"journal":{"name":"2008 12th International Conference on Mathematical Methods in Electromagnetic Theory","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 12th International Conference on Mathematical Methods in Electromagnetic Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MMET.2008.4581041","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
A variational vectorial mode solver for 3-D dielectric waveguides with arbitrary 2-D cross-sections is proposed. It is based on expansion of each component of a mode profile as a superposition of some a priori defined functions defined on one coordinate axis times some unknown continuous coefficient functions, defined on the other axis. By applying a variational restriction procedure the unknown coefficient functions are determined as an optimum approximation of the true vectorial mode profile. A couple of examples illustrate the performance of the method.
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