{"title":"On the solution of the wave equation asymptotically localized at infinity","authors":"A.S. Blagovestchenskii, A. A. Novitskaya","doi":"10.1109/DD.2000.902354","DOIUrl":null,"url":null,"abstract":"The explicit solutions of a wave equation in 3 dimensions found by Moses and Prosser (1990) and called 'bullets' are studied in detail. These solutions behave for t/spl rarr/+/spl infin/ as the characteristic function of an intersection of the annulus ct+a<r<ct+b and the circular cone divided by r, where r is the spherical radius, c is the wave speed, a, b=const, a<b. We establish that such a solution tends to a plane wave when the cone becomes narrow.","PeriodicalId":184684,"journal":{"name":"International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450)","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Seminar Day on Diffraction Millennium Workshop (IEEE Cat. No.00EX450)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DD.2000.902354","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
The explicit solutions of a wave equation in 3 dimensions found by Moses and Prosser (1990) and called 'bullets' are studied in detail. These solutions behave for t/spl rarr/+/spl infin/ as the characteristic function of an intersection of the annulus ct+a
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