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Zapiski Nauchnykh Seminarov LOMI, 1983, Volume 128, Pages 149–151 (Mi znsl4248)  

On the radiation damping of whispering gallery modes for the boundaries with a strongly changing radius of curvature

E. L. Silakov
Abstract: The problem of the radiation damping of whispering gallery modes is considered. It is shown, that fox a prolate elliptic boundary the complex ray solution coincides locally with the asymptotics of exact eigen function. A class of boundaries is pointed, for which a complex ray method is valid.
Bibliographic databases:
Document Type: Article
UDC: 538.574.5
Language: Russian
Citation: E. L. Silakov, “On the radiation damping of whispering gallery modes for the boundaries with a strongly changing radius of curvature”, Mathematical problems in the theory of wave propagation. Part 13, Zap. Nauchn. Sem. LOMI, 128, "Nauka", Leningrad. Otdel., Leningrad, 1983, 149–151
Citation in format AMSBIB
\Bibitem{Sil83}
\by E.~L.~Silakov
\paper On the radiation damping of whispering gallery modes for the boundaries with a~strongly changing radius of curvature
\inbook Mathematical problems in the theory of wave propagation. Part~13
\serial Zap. Nauchn. Sem. LOMI
\yr 1983
\vol 128
\pages 149--151
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4248}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=712311}
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  • https://www.mathnet.ru/eng/znsl/v128/p149
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