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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 297, Pages 136–153 (Mi znsl1219)  
This article is cited in 2 scientific papers (total in 2 papers)

Polarization anomalies of elastic waves. Caustic and penumbra

A. P. Kiseleva, V. O. Yarovoyb, E. A. Vsemirnovac

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Institute of Problems of Mechanical Engineering, Russian Academy of Sciences
c Saint-Petersburg State University of Aerospace Instrumentation
Full-text PDF (321 kB) Citations (2)
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Abstract: Theoretical study of polarization-spectral anomalies of a wave field (that is its deviation from that predicted by simple plane-wave models) is presented. A simple method of numerical simulation of anomalies of nonstationary wave fields near a caustic and in penumbra is described. It uses both leading and correcting terms in asymptotic formulas. Examples of simulation of displacements and average polarization ellipses are given. A discussion of quantitative properties of wave fields presented.
Received: 10.03.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 127, Issue 6, Pages 2413–2423
DOI: https://doi.org/10.1007/s10958-005-0190-3
Bibliographic databases:
UDC: 550.3+534.2+517.9+539.3
Language: Russian
Citation: A. P. Kiselev, V. O. Yarovoy, E. A. Vsemirnova, “Polarization anomalies of elastic waves. Caustic and penumbra”, Mathematical problems in the theory of wave propagation. Part 32, Zap. Nauchn. Sem. POMI, 297, POMI, St. Petersburg, 2003, 136–153; J. Math. Sci. (N. Y.), 127:6 (2005), 2413–2423
Citation in format AMSBIB
\Bibitem{KisYarVse03}
\by A.~P.~Kiselev, V.~O.~Yarovoy, E.~A.~Vsemirnova
\paper Polarization anomalies of elastic waves. Caustic and penumbra
\inbook Mathematical problems in the theory of wave propagation. Part~32
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 297
\pages 136--153
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1219}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1981392}
\zmath{https://zbmath.org/?q=an:1116.74366}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 127
\issue 6
\pages 2413--2423
\crossref{https://doi.org/10.1007/s10958-005-0190-3}
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  • https://www.mathnet.ru/eng/znsl/v297/p136
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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