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Zapiski Nauchnykh Seminarov 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
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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.
Received: 31.05.2007
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 148, Issue 5, Pages 693–711
DOI: https://doi.org/10.1007/s10958-008-0017-0
Bibliographic databases:
UDC: 517.9
Language: Russian
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://mathscinet.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{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38349177463}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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