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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1994 Volume 218, Pages 25–43 (Mi znsl5971)

On computation of the second term of the ray method for the vector of longitudinal displacements in isotropic nonhomogeneous elastic media

N. Ya. Kirpichnikova

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences

Abstract: This paper continues the series of the precedent papers devoted to elaboration of algorithms for computation of the second and next terms of the ray series for the vector of longitudinal displacements in isotropic nonhomogeneous elastic media. The method, proposed in this paper, essentially differs from used earlier ones. 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. Bibliography: 10 titles.

UDC: 517.934

Received: 05.09.1994


 English version:
Journal of Mathematical Sciences (New York), 1997, 86:3, 2673–2684

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