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Zapiski Nauchnykh Seminarov LOMI, 1980, Volume 99, Pages 138–145 (Mi znsl3304)  
This article is cited in 1 scientific paper (total in 1 paper)

Excitation coefficients of the whispering gallery waves in a vicinity of concave boundary with curvature vanishing at a point

V. G. Krasavin, M. M. Popov
Full-text PDF (495 kB) Citations (1)
Abstract: A method is presented for computing the excitation coefficients of whispering gallery waves arising behind a given point, at which the curvature of the concave boundary vanishes. Absolute values of some coefficients for the incident whispering gallery waves № 1 and № 2 are computed. It follows from these results that the principal part of the incident wave energy in both cases is transformed into the whispering gallery wave № 1.
English version:
Journal of Soviet Mathematics, 1982, Volume 20, Issue 5, Pages 2486–2491
DOI: https://doi.org/10.1007/BF01087296
Bibliographic databases:
UDC: 517.934
Language: Russian
Citation: V. G. Krasavin, M. M. Popov, “Excitation coefficients of the whispering gallery waves in a vicinity of concave boundary with curvature vanishing at a point”, Interference waves in layered media. Part I, Zap. Nauchn. Sem. LOMI, 99, "Nauka", Leningrad. Otdel., Leningrad, 1980, 138–145; J. Soviet Math., 20:5 (1982), 2486–2491
Citation in format AMSBIB
\Bibitem{KraPop80}
\by V.~G.~Krasavin, M.~M.~Popov
\paper Excitation coefficients of the whispering gallery waves in a~vicinity of concave boundary with curvature vanishing at a~point
\inbook Interference waves in layered media. Part~I
\serial Zap. Nauchn. Sem. LOMI
\yr 1980
\vol 99
\pages 138--145
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3304}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=595337}
\zmath{https://zbmath.org/?q=an:0556.76071}
\transl
\jour J. Soviet Math.
\yr 1982
\vol 20
\issue 5
\pages 2486--2491
\crossref{https://doi.org/10.1007/BF01087296}
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  • https://www.mathnet.ru/eng/znsl/v99/p138
    • 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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