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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 264, Pages 22–32 (Mi znsl1151)  
This article is cited in 3 scientific papers (total in 5 papers)

On the wave field in the small neighbourhood of the point of incidence of the limiting ray

V. M. Babich, V. V. Kamotskii

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (195 kB) Citations (5)
Abstract: The plane scalar problem of refrecting highfrequency wave defined by its ray expansion by a curvilinear interface is considered. It is assumed that the velocity in the medium where the refracted wave propagates is greater than the velocity where the incident wave propagates. It is assumed also that a point on the interface exist such as on one side of it the ordinary refraction takes place and the complete internal reflection of the incident wave on another side of the point takes place. It is deduced an analutical formula for the wave field in a small neighbourhood of this point.
Received: 09.09.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 111, Issue 4, Pages 3632–3638
DOI: https://doi.org/10.1023/A:1016321522940
Bibliographic databases:
UDC: 534.26
Language: Russian
Citation: V. M. Babich, V. V. Kamotskii, “On the wave field in the small neighbourhood of the point of incidence of the limiting ray”, Mathematical problems in the theory of wave propagation. Part 29, Zap. Nauchn. Sem. POMI, 264, POMI, St. Petersburg, 2000, 22–32; J. Math. Sci. (New York), 111:4 (2002), 3632–3638
Citation in format AMSBIB
\Bibitem{BabKam00}
\by V.~M.~Babich, V.~V.~Kamotskii
\paper On the wave field in the small neighbourhood of the point of incidence of the limiting ray
\inbook Mathematical problems in the theory of wave propagation. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 264
\pages 22--32
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1151}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1796999}
\zmath{https://zbmath.org/?q=an:1106.78303}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 111
\issue 4
\pages 3632--3638
\crossref{https://doi.org/10.1023/A:1016321522940}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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