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A method of solution of some problems of elastic wave propagation in the presence of a periodic inhomogeneity

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Abstract

The matrix method is used to examine the propagation of harmonic P and SV waves in an inhomogeneous medium whose properties are periodic functions of the depth z.

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Literature cited

  1. Zh. S. Erzhanov and O. Baigonysov, “The matrix method of studying seismic waves in layered-inhomogeneous media,” in: Abstracts of Papers at Conf. on Propagation of Elastic and Elastoplastic Waves [in Russian], Part II, Frunze (1984), pp. 105–106.

  2. L. Brillouin and M. Parodi, Wave Propagation in Periodically Inhomogeneous Structures [Russian translation], Moscow (1959).

  3. I. Zh. Zhubaev and S. K. Tleukenov, “Periodic inhomogeneity and properties of wave propagation,” Prognoz Zemletryaseniya, Dushanbe, No. 2, 57–64 (1982).

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 148, pp. 30–33, 1985.

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Baigonysov, O., Tleukenov, S. A method of solution of some problems of elastic wave propagation in the presence of a periodic inhomogeneity. J Math Sci 38, 1576–1579 (1987). https://doi.org/10.1007/BF01100136

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  • DOI: https://doi.org/10.1007/BF01100136

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