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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 409, Pages 107–120 (Mi znsl5514)  
This article is cited in 6 scientific papers (total in 6 papers)

Short wave point source near a unhomogenous halfplane

A. A. Matskovskiy

Saint-Petersburg State University, Saint-Petersburg, Russia
Full-text PDF (948 kB) Citations (6)
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Abstract: We consider the diffraction of waves produced by a point source by unhomogenous halfplane. The square of wave-number inside unhomogenous region is supposed to decrease lineary with increasing the distance from the devision boundary. The main aim of the article is to obtain the asymptotic of a whispering gallery waves as $k\to\infty$, where $k$ is the wave-number in a homogenous region.
Key words and phrases: diffraction, head wave, whispering gallery wave, point source, unhomogenous medium, short-wave asymptotics.
Received: 05.12.2012
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 194, Issue 1, Pages 58–66
DOI: https://doi.org/10.1007/s10958-013-1506-3
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: A. A. Matskovskiy, “Short wave point source near a unhomogenous halfplane”, Mathematical problems in the theory of wave propagation. Part 42, Zap. Nauchn. Sem. POMI, 409, POMI, St. Petersburg, 2012, 107–120; J. Math. Sci. (N. Y.), 194:1 (2013), 58–66
Citation in format AMSBIB
\Bibitem{Mat12}
\by A.~A.~Matskovskiy
\paper Short wave point source near a~unhomogenous halfplane
\inbook Mathematical problems in the theory of wave propagation. Part~42
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 409
\pages 107--120
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5514}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3032231}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 194
\issue 1
\pages 58--66
\crossref{https://doi.org/10.1007/s10958-013-1506-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84898994068}
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  • https://www.mathnet.ru/eng/znsl/v409/p107
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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