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Application of the method of summation of Gaussian beams to the calculation of theoretical seismograms

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Abstract

A new method of calculation of theoretical seismograms is proposed, which is based on space-time Gaussian beams. The method permits one to overcome the difficulties of calculation of the wave field near caustics and does not contain any calculations of Fourier transforms. Numerical experiments confirm the efficiency of the method for the calculation of theoretical seismograms.

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 156, pp. 73–97, 1986.

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Kachalov, A.P., Popov, M.M. Application of the method of summation of Gaussian beams to the calculation of theoretical seismograms. J Math Sci 50, 1727–1742 (1990). https://doi.org/10.1007/BF01097103

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