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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 257, Pages 56–74 (Mi znsl985)  
This article is cited in 2 scientific papers (total in 2 papers)

Combined method of calculation of the field of the point source in a wave guide

N. Ya. Kirpichnikovaa, V. B. Philippovba, N. G. Vlasjuka

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University
Full-text PDF (308 kB) Citations (2)
Abstract: The two-dimensional problem of propagation of waves, raised by a point source, in an interior wave guide is investigated. The Dirichlet (Neumann) boundary condition is given on the upper (lower) bound of the wave guide. The possibility of representation of the exact solution as a sum of the geometro-optical waves, the normal waves and the residual is shown. The sufficient conditions on the general amount of the detached normal and geometro-optical waves are obtained. The residual is expressed by the simple formula.
Received: 25.12.1998
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 108, Issue 5, Pages 674–688
DOI: https://doi.org/10.1023/A:1013295028016
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: N. Ya. Kirpichnikova, V. B. Philippov, N. G. Vlasjuk, “Combined method of calculation of the field of the point source in a wave guide”, Mathematical problems in the theory of wave propagation. Part 28, Zap. Nauchn. Sem. POMI, 257, POMI, St. Petersburg, 1999, 56–74; J. Math. Sci. (New York), 108:5 (2002), 674–688
Citation in format AMSBIB
\Bibitem{KirPhiVla99}
\by N.~Ya.~Kirpichnikova, V.~B.~Philippov, N.~G.~Vlasjuk
\paper Combined method of calculation of the field of the point source in a wave guide
\inbook Mathematical problems in the theory of wave propagation. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 257
\pages 56--74
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl985}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1754692}
\zmath{https://zbmath.org/?q=an:0985.78018}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 108
\issue 5
\pages 674--688
\crossref{https://doi.org/10.1023/A:1013295028016}
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  • https://www.mathnet.ru/eng/znsl/v257/p56
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    Citing articles in Google Scholar: Russian citations, English citations
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