Abstract
The method of the parabolic equation of Leontovich-Fock is generalized to the case of an inhomogeneous, anisotropic elastic medium.
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Literature cited
V. M. Babich, “The ray method for computing the intensity of wave fronts in the case of an elastic, inhomogeneous, anisotropic medium,” Voprosy Dinamicheskoi Teorii Raspro-Straneniya Seismicheskikh Voln (LOMI i LGU) (1961), Sbornik V, pp. 36–46.
B. A. Chikhachev, “Diffraction of a high-frequency elastic wave on the boundary of two inhomogeneous media,” Vestn. Leningr. Gos. Univ., No. 10, 142–146 (1975).
V. M. Babich and N. Ya. Kirpichenikova, The Method of the Boundary Layer in Diffraction Problems [in Russian], Leningrad State Univ. (1974).
M. A. Leontovich and V. A. Fock, “Solution of the problem of the propagation of electromagnetic waves along the surface of the earth by the method of the parabolic equation,” Zh. Eksp. Teor. Fiz.,16, No. 7, 557–573 (1946).
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 117, pp. 27–38, 1981.
The author is grateful to V. M. Babich for his attention to the work.
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Bilyi, I.Y. Method of the parabolic equation in the anisotropic theory of elasticity. J Math Sci 24, 283–290 (1984). https://doi.org/10.1007/BF01086988
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DOI: https://doi.org/10.1007/BF01086988