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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 239, Pages 79–94 (Mi znsl447)  

The second approximation of the ray method for calculation of the intensity of the wave front in isotropic nonhomogeneous elastic media

N. Ya. Kirpichnikova

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract: This paper continues the series of the precedent papers devoted to elaboration of algorithms for calculation of the second and next terms of the ray series for the vector of longitudinal displacements in isotropic nonhomogeneous elastic media in the case of the dimension 2.5. This method is based on expansions of the amplitudes, the eikonal and the given task parameters into series with respect to coordinates transversal to the direction of propagation of the considered waves. The comparison of the methodses of computation of the correction terms of the ray expansios for the vector of longitudinal displacements is carried out.
Received: 10.10.1996
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 96, Issue 4, Pages 3332–3341
DOI: https://doi.org/10.1007/BF02172809
Bibliographic databases:
UDC: 517.934
Language: Russian
Citation: N. Ya. Kirpichnikova, “The second approximation of the ray method for calculation of the intensity of the wave front in isotropic nonhomogeneous elastic media”, Mathematical problems in the theory of wave propagation. Part 26, Zap. Nauchn. Sem. POMI, 239, POMI, St. Petersburg, 1997, 79–94; J. Math. Sci. (New York), 96:4 (1999), 3332–3341
Citation in format AMSBIB
\Bibitem{Kir97}
\by N.~Ya.~Kirpichnikova
\paper The second approximation of the ray method for calculation of the intensity of the wave front in isotropic
nonhomogeneous elastic media
\inbook Mathematical problems in the theory of wave propagation. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 239
\pages 79--94
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl447}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1700642}
\zmath{https://zbmath.org/?q=an:0945.74033}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 96
\issue 4
\pages 3332--3341
\crossref{https://doi.org/10.1007/BF02172809}
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