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Zapiski Nauchnykh Seminarov LOMI, 1981, Volume 104, Pages 49–65 (Mi znsl3377)  
This article is cited in 4 scientific papers (total in 4 papers)

The field of radiation of whispering gallery waves over the concave-convex boundary

V. S. Buldyrev, A. I. Lanin
Full-text PDF (879 kB) Citations (4)
Abstract: The wave field over a reflex surface with a flex point in Kirchhoff approximation is investigated. The incident wave is the whispering gallery wave, propagating from the concave side of the boundary. The short wave asymptotics of Kirchhoff integral describing the radiated wave field is obtained in a neighbourhood of the flex point and in the vicinity of the tangent in this point. The asymptotics is expressed in terms of special functions, which are tabulated. The wave field behavior is illustrated by diagrams.
English version:
Journal of Soviet Mathematics, 1982, Volume 20, Issue 1, Pages 1776–1787
DOI: https://doi.org/10.1007/BF01119359
Bibliographic databases:
UDC: 517.934
Language: Russian
Citation: V. S. Buldyrev, A. I. Lanin, “The field of radiation of whispering gallery waves over the concave-convex boundary”, Mathematical problems in the theory of wave propagation. Part 11, Zap. Nauchn. Sem. LOMI, 104, "Nauka", Leningrad. Otdel., Leningrad, 1981, 49–65; J. Soviet Math., 20:1 (1982), 1776–1787
Citation in format AMSBIB
\Bibitem{BulLan81}
\by V.~S.~Buldyrev, A.~I.~Lanin
\paper The field of radiation of whispering gallery waves over the concave-convex boundary
\inbook Mathematical problems in the theory of wave propagation. Part~11
\serial Zap. Nauchn. Sem. LOMI
\yr 1981
\vol 104
\pages 49--65
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3377}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=660260}
\zmath{https://zbmath.org/?q=an:0472.35023|0494.35024}
\transl
\jour J. Soviet Math.
\yr 1982
\vol 20
\issue 1
\pages 1776--1787
\crossref{https://doi.org/10.1007/BF01119359}
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  • https://www.mathnet.ru/eng/znsl/v104/p49
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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