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Zapiski Nauchnykh Seminarov LOMI, 1989, Volume 179, Pages 163–172 (Mi znsl4701)  
Ray-mode representations of the Green function in a three-dimensional homogeneous waveguide

V. P. Smyshlyaev
Full-text PDF (493 kB)
Abstract: The wave field generated by the point source in a three-dimensional homogeneous cylindrical waveguide of a rather arbitrary cross-section is considered. The approach to the construction of hybrid ray-mode representations of the wave field and to the transformation of ray set into modes and visa versa is suggested.
English version:
Journal of Soviet Mathematics, 1991, Volume 57, Issue 3, Pages 3170–3175
DOI: https://doi.org/10.1007/BF01098987
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: V. P. Smyshlyaev, “Ray-mode representations of the Green function in a three-dimensional homogeneous waveguide”, Mathematical problems in the theory of wave propagation. Part 19, Zap. Nauchn. Sem. LOMI, 179, "Nauka", Leningrad. Otdel., Leningrad, 1989, 163–172; J. Soviet Math., 57:3 (1991), 3170–3175
Citation in format AMSBIB
\Bibitem{Smy89}
\by V.~P.~Smyshlyaev
\paper Ray-mode representations of the Green function in a three-dimensional homogeneous waveguide
\inbook Mathematical problems in the theory of wave propagation. Part~19
\serial Zap. Nauchn. Sem. LOMI
\yr 1989
\vol 179
\pages 163--172
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4701}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1039603}
\zmath{https://zbmath.org/?q=an:0796.76080}
\transl
\jour J. Soviet Math.
\yr 1991
\vol 57
\issue 3
\pages 3170--3175
\crossref{https://doi.org/10.1007/BF01098987}
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