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Zapiski Nauchnykh Seminarov LOMI, 1980, Volume 99, Pages 127–137 (Mi znsl3303)  
Nonstationary modes of a thin and curved waveguide in a multiray zone (the uniform asymptotics)

A. B. Plachenov
Full-text PDF (505 kB)
Abstract: The propagation of nonstationary modes in a thin waveguide with variable properties is considered in case of a space-time caustics presence. A connection of the cut-off section with these caustics is revealed. The uniform asymptotical formulas in a multiray zone are obtained and their transformation into formulas of the geometrical optics out of the caustics neughbourhood is observed.
English version:
Journal of Soviet Mathematics, 1982, Volume 20, Issue 5, Pages 2478–2486
DOI: https://doi.org/10.1007/BF01087295
Bibliographic databases:
UDC: 517.9+534.26+538.566
Language: Russian
Citation: A. B. Plachenov, “Nonstationary modes of a thin and curved waveguide in a multiray zone (the uniform asymptotics)”, Interference waves in layered media. Part I, Zap. Nauchn. Sem. LOMI, 99, "Nauka", Leningrad. Otdel., Leningrad, 1980, 127–137; J. Soviet Math., 20:5 (1982), 2478–2486
Citation in format AMSBIB
\Bibitem{Pla80}
\by A.~B.~Plachenov
\paper Nonstationary modes of a~thin and curved waveguide in a~multiray zone (the uniform asymptotics)
\inbook Interference waves in layered media. Part~I
\serial Zap. Nauchn. Sem. LOMI
\yr 1980
\vol 99
\pages 127--137
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3303}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=595336}
\zmath{https://zbmath.org/?q=an:0477.35024|0494.35021}
\transl
\jour J. Soviet Math.
\yr 1982
\vol 20
\issue 5
\pages 2478--2486
\crossref{https://doi.org/10.1007/BF01087295}
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  • https://www.mathnet.ru/eng/znsl/v99/p127
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