{"title":"Investigation of the influence of periodic disturbances in the layered medium by the method of averaging of Krylov-Bogolyubov","authors":"K. Kramarenko, N.A. Khizhnyak","doi":"10.1109/MMET.2000.890542","DOIUrl":null,"url":null,"abstract":"The influence of small periodic disturbances in periodic dielectric medium on propagation of TM-waves, investigated by the Krylov-Bogolyubov averaging method, results in the phenomenon of parametric resonance. As a result of periodic disturbance inside the allowed bands of undisturbed medium forbidden bands appear. The appearance of forbidden bands is conditioned by a parametric resonance between spatial harmonics of disturbance and plane waves, on which the solution of the wave equation in a periodic medium is decomposed. The location, number and width of these bands are determined.","PeriodicalId":344401,"journal":{"name":"Conference Proceedings 2000 International Conference on Mathematical Methods in Electromagnetic Theory (Cat. No.00EX413)","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2000-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Conference Proceedings 2000 International Conference on Mathematical Methods in Electromagnetic Theory (Cat. No.00EX413)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MMET.2000.890542","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 influence of small periodic disturbances in periodic dielectric medium on propagation of TM-waves, investigated by the Krylov-Bogolyubov averaging method, results in the phenomenon of parametric resonance. As a result of periodic disturbance inside the allowed bands of undisturbed medium forbidden bands appear. The appearance of forbidden bands is conditioned by a parametric resonance between spatial harmonics of disturbance and plane waves, on which the solution of the wave equation in a periodic medium is decomposed. The location, number and width of these bands are determined.
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