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Two-parameter asymptotic forms for space-time Gaussian beams in an elastic medium

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Abstract

Asymptotic equations are constructed which contain two small parameters, for the longitudinal and transverse space-time Gaussian beams.

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Literature cited

  1. A. P. Kachalov, “The use of ‘quasiphotons’ for the calculation of wave fields in an elastic medium,” in: Mathematical Questions in the Theory of Wave Propagation. 15. Reports of the Scientific Seminars of LOMI [in Russian],148, 89–104 (1985).

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  2. A. P. Kachalov and M. M. Popov, “The use of the method of summing Gaussian beams for the calculation of theoretical seismograms,” in: Mathematical Questions in the Theory of Wave Propagation. 16. Reports of the Scientific Seminars of LOMI [in Russian],156, 73–97 (1986).

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Authors
  1. A. P. Kachalov
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 173, pp. 87–95, 1988.

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Kachalov, A.P. Two-parameter asymptotic forms for space-time Gaussian beams in an elastic medium. J Math Sci 55, 1705–1712 (1991). https://doi.org/10.1007/BF01098208

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  • DOI: https://doi.org/10.1007/BF01098208

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