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Zapiski Nauchnykh Seminarov LOMI, 1991, Volume 195, Pages 69–81 (Mi znsl5028)  
Fock's asymptotics in the problem of diffraction by moving smooth contour

M. A. Lyalinov
Full-text PDF (550 kB)
Abstract: The main term of asymptotic solution in Fock's region for moving scatterer is discussed. The solution is expressed by means of the wellknown Fock's integrals and depends upon geometric and kinematic characteristics of a moving contour. The formula for effective radius of curvature for a moving contour is computed and discussed.
English version:
Journal of Soviet Mathematics, 1992, Volume 62, Issue 6, Pages 3095–3103
DOI: https://doi.org/10.1007/BF01095683
Bibliographic databases:
Document Type: Article
UDC: 517.9:534.26:538.566
Language: Russian
Citation: M. A. Lyalinov, “Fock's asymptotics in the problem of diffraction by moving smooth contour”, Mathematical problems in the theory of wave propagation. Part 21, Zap. Nauchn. Sem. LOMI, 195, Nauka, St. Petersburg, 1991, 69–81; J. Soviet Math., 62:6 (1992), 3095–3103
Citation in format AMSBIB
\Bibitem{Lya91}
\by M.~A.~Lyalinov
\paper Fock's asymptotics in the problem of diffraction by moving smooth contour
\inbook Mathematical problems in the theory of wave propagation. Part~21
\serial Zap. Nauchn. Sem. LOMI
\yr 1991
\vol 195
\pages 69--81
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5028}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1158038}
\transl
\jour J. Soviet Math.
\yr 1992
\vol 62
\issue 6
\pages 3095--3103
\crossref{https://doi.org/10.1007/BF01095683}
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