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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 264, Pages 140–149 (Mi znsl1163)  
This article is cited in 3 scientific papers (total in 3 papers)

Parabolic equation and Pearcey-type integral for a transmitted wavefield

A. P. Kiseleva, A. S. Starkovb

a Institute of Problems of Mechanical Engineering, Russian Academy of Sciences
b Saint-Petersburg State University
Full-text PDF (192 kB) Citations (3)
Abstract: High-frequence wavefield of a point source situated near an interface of two homogeneous media and placed in the faster medium is considered. We are interested in description of a vicinity the critical ray in the slower medium. The description is given via the parabolic equation method. The result involves a Pearcey-type integral. The approach is not based on the Fourier method and can be generalised to inhomogeneous media with curved interfaces.
Received: 14.12.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 111, Issue 4, Pages 3702–3707
DOI: https://doi.org/10.1023/A:1016385909736
Bibliographic databases:
UDC: 517.946+539
Language: Russian
Citation: A. P. Kiselev, A. S. Starkov, “Parabolic equation and Pearcey-type integral for a transmitted wavefield”, Mathematical problems in the theory of wave propagation. Part 29, Zap. Nauchn. Sem. POMI, 264, POMI, St. Petersburg, 2000, 140–149; J. Math. Sci. (New York), 111:4 (2002), 3702–3707
Citation in format AMSBIB
\Bibitem{KisSta00}
\by A.~P.~Kiselev, A.~S.~Starkov
\paper Parabolic equation and Pearcey-type integral for a transmitted wavefield
\inbook Mathematical problems in the theory of wave propagation. Part~29
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 264
\pages 140--149
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1163}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1796432}
\zmath{https://zbmath.org/?q=an:1044.74021}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 111
\issue 4
\pages 3702--3707
\crossref{https://doi.org/10.1023/A:1016385909736}
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  • https://www.mathnet.ru/eng/znsl/v264/p140
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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