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Zapiski Nauchnykh Seminarov LOMI, 1988, Volume 173, Pages 6–19 (Mi znsl4492)  

This article is cited in 1 scientific paper (total in 1 paper)

Asymptotics of the field diffracted on a smooth convex body near the edge of a nonsingular coustic

I. V. Andronov
Full-text PDF (681 kB) Citations (1)
Abstract: The standard problem method is applied to construct the acoustic field asymptotics near the edge of the caustic formed by a wave diffracted on a smooth body. The field is represented by a Fresnel part and a background. Explicit formulas for the terms being a submitance of the Fresnel part and the background are obtained. Analiticity of these terms is proved.
English version:
Journal of Soviet Mathematics, 1991, Volume 55, Issue 3, Pages 1645–1656
DOI: https://doi.org/10.1007/BF01098202
Bibliographic databases:
Document Type: Article
UDC: 517.9:534.22.094
Language: Russian
Citation: I. V. Andronov, “Asymptotics of the field diffracted on a smooth convex body near the edge of a nonsingular coustic”, Mathematical problems in the theory of wave propagation. Part 18, Zap. Nauchn. Sem. LOMI, 173, "Nauka", Leningrad. Otdel., Leningrad, 1988, 6–19; J. Soviet Math., 55:3 (1991), 1645–1656
Citation in format AMSBIB
\Bibitem{And88}
\by I.~V.~Andronov
\paper Asymptotics of the field diffracted on a smooth convex body near the edge of a nonsingular coustic
\inbook Mathematical problems in the theory of wave propagation. Part~18
\serial Zap. Nauchn. Sem. LOMI
\yr 1988
\vol 173
\pages 6--19
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4492}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0983350}
\zmath{https://zbmath.org/?q=an:0724.76078|0676.76078}
\transl
\jour J. Soviet Math.
\yr 1991
\vol 55
\issue 3
\pages 1645--1656
\crossref{https://doi.org/10.1007/BF01098202}
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  • https://www.mathnet.ru/eng/znsl/v173/p6
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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