{"title":"Analytical-numerical investigation of the nonlinear equation for a synthesis problem of waveguide array","authors":"M. Andriychuk","doi":"10.1109/DIPED.2002.1049192","DOIUrl":null,"url":null,"abstract":"The nonlinear equation of a synthesis problem for the waveguide array using a standard technique of the calculus of variations is obtained. Utilization of the Bubnov-Galerkin method for the solution of a direct problem (analysis problem) allows for certain restrictions to obtain a real kernel of this equation. The existence of a real kernel enables to carry out analytical investigation of the non-uniqueness and branching of solutions of the obtained equation. Numerical results of research of the eigen values of the corresponding-linear equation are given.","PeriodicalId":164885,"journal":{"name":"Proceedings of the 7th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2002-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 7th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DIPED.2002.1049192","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
The nonlinear equation of a synthesis problem for the waveguide array using a standard technique of the calculus of variations is obtained. Utilization of the Bubnov-Galerkin method for the solution of a direct problem (analysis problem) allows for certain restrictions to obtain a real kernel of this equation. The existence of a real kernel enables to carry out analytical investigation of the non-uniqueness and branching of solutions of the obtained equation. Numerical results of research of the eigen values of the corresponding-linear equation are given.
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