{"title":"沿光滑表面传播的窃窃廊波的渐近表示与源波场的匹配","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":"{\"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}","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}
On matching of asymptotic representation of a whispering gallery wave propagating along a smooth surface in ℝ3 and the wavefield of a source
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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