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Zap. Nauchn. Sem. POMI, 2007, Volume 342, Pages 106–137 (Mi znsl123)  

This article is cited in 1 scientific paper (total in 1 paper)

Reflection and refraction of the near-surface $P$-waves on a line of elastic parameters discontinuity

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

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: The reflected and refracted problems on elastic surface waves of horizontal polarization (P-waves) from a line of elastic parameters jump are under consideration. The relevant coefficients of reflection, refraction, and transformation are obtained by means of the parabolic equation method. The comparison of the Rayleigh waves, $SV$-waves, and $P$-waves is carried out. Numerical values of the transformation matrix are obtained for the case of the passage of a wave of the whispering gallery to the sum of waves of the whispering gallery and a homogeneous wave to the first five modes of waves of the whispering gallery.

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English version:
Journal of Mathematical Sciences (New York), 2008, 148:5, 693–711

Bibliographic databases:

UDC: 517.9
Received: 31.05.2007

Citation: N. Ya. Kirpichnikova, P. V. Krauklis, A. P. Krauklis, “Reflection and refraction of the near-surface $P$-waves on a line of elastic parameters discontinuity”, Mathematical problems in the theory of wave propagation. Part 36, Zap. Nauchn. Sem. POMI, 342, POMI, St. Petersburg, 2007, 106–137; J. Math. Sci. (N. Y.), 148:5 (2008), 693–711

Citation in format AMSBIB
\Bibitem{KirKraKra07}
\by N.~Ya.~Kirpichnikova, P.~V.~Krauklis, A.~P.~Krauklis
\paper Reflection and refraction of the near-surface $P$-waves on a~line of elastic parameters discontinuity
\inbook Mathematical problems in the theory of wave propagation. Part~36
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 342
\pages 106--137
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl123}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2365110}
\zmath{https://zbmath.org/?q=an:05637557}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 148
\issue 5
\pages 693--711
\crossref{https://doi.org/10.1007/s10958-008-0017-0}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38349177463}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. N. Ya. Kirpichnikova, “Green's function of SH-polarized surface waves”, J. Math. Sci. (N. Y.), 185:4 (2012), 591–595  mathnet  crossref  mathscinet
  • Записки научных семинаров ПОМИ
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