{"title":"双尺度展开法在求解周期系数波动方程中的应用","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":"{\"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}","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}
The Application of Double - Scale Expansion Method for the Solving of the Wave Equation with Periodic Coefficients
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