{"title":"The Application of Double - Scale Expansion Method for the Solving of the Wave Equation with Periodic Coefficients","authors":"E. Gevorkyan","doi":"10.1109/DIPED.2006.314279","DOIUrl":null,"url":null,"abstract":"The propagation of electromagnetic TE waves in the waveguide of arbitrary cross section with space-time periodically modulated filling is considered. The wave equation with periodic coefficients for the potential Hz is solved with help of the double-scale expansion method. The solutions of the wave equation on the transition boundary between the stable and unstable regions are obtained","PeriodicalId":183082,"journal":{"name":"Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of XIth International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic Acoustic Wave Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DIPED.2006.314279","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 propagation of electromagnetic TE waves in the waveguide of arbitrary cross section with space-time periodically modulated filling is considered. The wave equation with periodic coefficients for the potential Hz is solved with help of the double-scale expansion method. The solutions of the wave equation on the transition boundary between the stable and unstable regions are obtained
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