{"title":"“复杂源”波场能量密度的不可积性","authors":"A. Tagirdzhanov, A. Kiselev","doi":"10.1109/DD46733.2019.9016450","DOIUrl":null,"url":null,"abstract":"As is well known, time-harmonic “complex sources” wavefields that show a Gaussian-type localization, are solutions of inhomogeneous Helmholtz equation where source functions are supported by certain antennas with a circular edge. We address energy density of a “complex source” wavefield in a neighborhood of the edge of the antenna and show that it is nonintegrable.","PeriodicalId":319575,"journal":{"name":"2019 Days on Diffraction (DD)","volume":"98 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nonintegrability of the energy density of “complex sources” wavefields\",\"authors\":\"A. Tagirdzhanov, A. Kiselev\",\"doi\":\"10.1109/DD46733.2019.9016450\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"As is well known, time-harmonic “complex sources” wavefields that show a Gaussian-type localization, are solutions of inhomogeneous Helmholtz equation where source functions are supported by certain antennas with a circular edge. We address energy density of a “complex source” wavefield in a neighborhood of the edge of the antenna and show that it is nonintegrable.\",\"PeriodicalId\":319575,\"journal\":{\"name\":\"2019 Days on Diffraction (DD)\",\"volume\":\"98 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 Days on Diffraction (DD)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DD46733.2019.9016450\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 Days on Diffraction (DD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD46733.2019.9016450","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Nonintegrability of the energy density of “complex sources” wavefields
As is well known, time-harmonic “complex sources” wavefields that show a Gaussian-type localization, are solutions of inhomogeneous Helmholtz equation where source functions are supported by certain antennas with a circular edge. We address energy density of a “complex source” wavefield in a neighborhood of the edge of the antenna and show that it is nonintegrable.