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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 218, Pages 166–175 (Mi znsl5980)  
On conditions of the dynamical equivalence of waves in multilayer elastic media

N. S. Smirnova

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Full-text PDF (512 kB)
Abstract: Necessary and sufficient conditions of the dynamic equivalence of two waves propagating in an elastic $p$-layered medium and undergoing all kind of exchanges on the interfaces of the medium are proved. These conditions are represented in the form of identities in which powers of the reflection and refraction coefficients contained in formulas for intensities of these waves enter. Bibliography: 5 titles.
Received: 25.07.1994
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 86, Issue 3, Pages 2766–2772
DOI: https://doi.org/10.1007/BF02355167
Bibliographic databases:
Document Type: Article
UDC: 550.344
Language: Russian
Citation: N. S. Smirnova, “On conditions of the dynamical equivalence of waves in multilayer elastic media”, Mathematical problems in the theory of wave propagation. Part 24, Zap. Nauchn. Sem. POMI, 218, POMI, St. Petersburg, 1994, 166–175; J. Math. Sci. (New York), 86:3 (1997), 2766–2772
Citation in format AMSBIB
\Bibitem{Smi94}
\by N.~S.~Smirnova
\paper On conditions of the dynamical equivalence of waves in multilayer elastic media
\inbook Mathematical problems in the theory of wave propagation. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 218
\pages 166--175
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5980}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1492175}
\zmath{https://zbmath.org/?q=an:1071.74604}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 86
\issue 3
\pages 2766--2772
\crossref{https://doi.org/10.1007/BF02355167}
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