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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 342, Pages 106–137
(Mi znsl123)
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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.
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
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https://www.mathnet.ru/eng/znsl123 https://www.mathnet.ru/eng/znsl/v342/p106
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Abstract page: | 264 | Full-text PDF : | 72 | References: | 34 |
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