Abstract
An algorithm for calculating the second term of the ray series for the vector of longitudinal displacements in an inhomogeneous isotropic elastic medium in the quasi-two-dimensional case is suggested. This algorithm is based on expanding the medium parameters, the eikonal, and the displacement vector into series in powers of the coordinates transversal to the ray.
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Translated fromZapiski Nauchnykh Semmarov POMI, Vol. 239, 1997, pp. 79–94.
This work was supported in part by the State Committee of the Russian Federation for Higher Education under grant No. 95-0-13.1-66.
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Kirpichnikova, N.Y. The second approximation of the ray method in calculating the intensity of the ray front in an inhomogeneous elastic medium. J Math Sci 96, 3332–3341 (1999). https://doi.org/10.1007/BF02172809
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DOI: https://doi.org/10.1007/BF02172809