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Reflection and transmission of the surface P-waves on the line of jump in elastic parameters

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Abstract

Problems of diffraction of elastic surface waves of horizontal polarization (P-waves) on a line of jump in elastic parameters are considered. The corresponding coefficients of reflection, refraction, and transmission are obtained by means of the parabolic equation method. A comparison of the Rayleigh waves, SV-waves, and P-waves is carried out. Numerical values of the transformation matrix are found in the case where the whispering gallery wave transforms to a sum of whispering gallery waves and a homogeneous wave transforms to the first five modes of whispering gallery waves. Bibliography: 6 titles.

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References

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Authors and Affiliations

  1. St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia

    N. Ya. Kirpichnikova, P. V. Krauklis & A. P. Krauklis

Authors
  1. N. Ya. Kirpichnikova
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  2. P. V. Krauklis
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  3. A. P. Krauklis
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Correspondence to N. Ya. Kirpichnikova.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 342, 2007, pp. 106–137.

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Kirpichnikova, N.Y., Krauklis, P.V. & Krauklis, A.P. Reflection and transmission of the surface P-waves on the line of jump in elastic parameters. J Math Sci 148, 693–711 (2008). https://doi.org/10.1007/s10958-008-0017-0

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  • DOI: https://doi.org/10.1007/s10958-008-0017-0

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