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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 210, Pages 94–108 (Mi znsl5862)  
Computation of the second term of the ray method series in two and a half dimension

N. Ya. Kirpichnikova, M. M. Popov

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Full-text PDF (633 kB)
Abstract: The algorithm of computation of the second term of the ray method series suggested in our paper in the present issue is specified for the case of two and a half dimensions. It means that elastic parameters of a medium depend on $x,z$ only and source and observation points are placed in one plane orthogonal to $y$ axes. Thus to compute the wave field we need to take into account the rays which are placed in the plane. It enables us to simplify the algorithm. We consider the algorithm in detail for the case of the point source. Bibliography: 4 titles.
Received: 28.05.1993
English version:
Journal of Mathematical Sciences, 1997, Volume 83, Issue 2, Pages 223–232
DOI: https://doi.org/10.1007/BF02405816
Bibliographic databases:
Document Type: Article
UDC: 517.934
Language: Russian
Citation: N. Ya. Kirpichnikova, M. M. Popov, “Computation of the second term of the ray method series in two and a half dimension”, Mathematical problems in the theory of wave propagation. Part 23, Zap. Nauchn. Sem. POMI, 210, Nauka, St. Petersburg, 1994, 94–108; J. Math. Sci., 83:2 (1997), 223–232
Citation in format AMSBIB
\Bibitem{KirPop94}
\by N.~Ya.~Kirpichnikova, M.~M.~Popov
\paper Computation of the second term of the ray method series in two and a~half dimension
\inbook Mathematical problems in the theory of wave propagation. Part~23
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 210
\pages 94--108
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5862}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1334747}
\zmath{https://zbmath.org/?q=an:0874.73009}
\transl
\jour J. Math. Sci.
\yr 1997
\vol 83
\issue 2
\pages 223--232
\crossref{https://doi.org/10.1007/BF02405816}
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