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Journal of Mathematical Sciences

, Volume 185, Issue 4, pp 596–604 | Cite as

Reflection and refraction from a vertical layer of surface SH waves radiated from a point source on a boundary free of tensions

  • N. Ya. KirpichnikovaEmail author
  • A. S. Kirpichnikova
Article
  • 43 Downloads

With the help of the asymptotic boundary layer method, the transformation of an elastic SH-polarized surface wave of whispering gallery type (the so-called Love wave) is analyzed in the case where this wave passes many times through a vertical layer between two half-planes, Bibliography: 6 titles.

Keywords

Reflection Boundary Layer Refraction Point Source Surface Wave 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    M. A. Leontovich and V. A. Fock, “Solution of the problem of propagation of electromagnetic waves along the Earth’s surface by the method of parabolic equations,” Zhur. Eks. Teor. Fiz., 16, No. 7, 557–573 (1946).MathSciNetzbMATHGoogle Scholar
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    V. M. Babich and N. Ya. Kirpichnikova, The Boundary-Layer Method in Diffraction Problems, Springer-Verlag (1979).Google Scholar
  3. 3.
    N. V. Sivitskaya and V. B. Filippov, “On the propagation of whispering gallery waves in a mediurn with vertical interface,” Zap. Nauchn. Semin. POMI, 179, 147–151 (1989).Google Scholar
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    N. Ya. Kirpichnikova, “Diffraction of surface SV waves on the line of jump of elastic parameters,” Zap. Nauchn. Semin. POMI, 342, 77–105 (2007).Google Scholar
  5. 5.
    N. Ya. Kirpichnikova, “Diffraction from a layer of surface SH-waves radiated by a point source on the boundary,” in: Proceedings of the International Conference “Days on Diffraction”, St. Petersburg (2008). pp. 72–76.Google Scholar
  6. 6.
    N. Ya. Kirpichnikova and A. S. Kirpichnikova, “The boundary layer method in the problem on far propagation of surface SV waves,” Zap. Nauchn. Semin. POMI, 380, 53–89 (2010).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2012

Authors and Affiliations

  1. 1.St. Petersburg Department of the Steklov Mathematical InstituteRussian Academy of SciencesSt. PetersburgRussia

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