{"title":"On matching of asymptotic representation of a whispering gallery wave propagating along a smooth surface in ℝ3 and the wavefield of a source","authors":"M. Popov","doi":"10.1109/DD49902.2020.9274588","DOIUrl":null,"url":null,"abstract":"The paper is devoted to development of the new concept of surface waves propagation along smooth surfaces in ℝ3, proposed in [1]. We introduce an asymptotic representation of surface waves resulted from summation of solutions localized in neighborhoods of geodesic lines. Matching with surface waves generated by a source positioned in the vicinity of surface uniquely specifies the asymptotic representation.","PeriodicalId":133126,"journal":{"name":"2020 Days on Diffraction (DD)","volume":"87 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 Days on Diffraction (DD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD49902.2020.9274588","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 paper is devoted to development of the new concept of surface waves propagation along smooth surfaces in ℝ3, proposed in [1]. We introduce an asymptotic representation of surface waves resulted from summation of solutions localized in neighborhoods of geodesic lines. Matching with surface waves generated by a source positioned in the vicinity of surface uniquely specifies the asymptotic representation.
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