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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 250, Pages 35–48 (Mi znsl640)  
On the scattering of waves by an expanding surface

V. M. Babich, M. A. Lyalinov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (214 kB) Citations (1)
Abstract: The perturbance of a harmonic plane wave by an obstacle, arising in a fixed point is considered. This obstacle expands and creates a wave with spherical front. The analitical expression of the scattered wave field in a small neighborhood of the wave front is obtained as in scalar as well in electromagnetic case.
Received: 02.09.1997
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 102, Issue 4, Pages 4157–4165
DOI: https://doi.org/10.1007/BF02673846
Bibliographic databases:
UDC: 517.934
Language: Russian
Citation: V. M. Babich, M. A. Lyalinov, “On the scattering of waves by an expanding surface”, Mathematical problems in the theory of wave propagation. Part 27, Zap. Nauchn. Sem. POMI, 250, POMI, St. Petersburg, 1998, 35–48; J. Math. Sci. (New York), 102:4 (2000), 4157–4165
Citation in format AMSBIB
\Bibitem{BabLya98}
\by V.~M.~Babich, M.~A.~Lyalinov
\paper On the scattering of waves by an expanding surface
\inbook Mathematical problems in the theory of wave propagation. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 250
\pages 35--48
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl640}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1701857}
\zmath{https://zbmath.org/?q=an:0982.78011}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 102
\issue 4
\pages 4157--4165
\crossref{https://doi.org/10.1007/BF02673846}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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