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Zapiski Nauchnykh Seminarov LOMI, 1983, Volume 128, Pages 72–88 (Mi znsl4240)  
Eeflection of space-time ray amplitudes from arbitrary moving boundary

N. Ya. Kirpichnikova, M. M. Popov
Full-text PDF (787 kB)
Abstract: The problem of finding of the geometrical spreading for the space-time ray method in three-dimensional inhomogeneous medium with arbitary moving reflecting boundary is considered. A syatem of linear differential equations and initial conditions on reflecting boundary for geometrical spreading is obtained. It is proved that the problem can be solved under the natural conditions
i) reflecting boundary is timelike,
ii) incident ray doesa't touch the boundary.
Bibliographic databases:
Document Type: Article
UDC: 550.344; 538.566
Language: Russian
Citation: N. Ya. Kirpichnikova, M. M. Popov, “Eeflection of space-time ray amplitudes from arbitrary moving boundary”, Mathematical problems in the theory of wave propagation. Part 13, Zap. Nauchn. Sem. LOMI, 128, "Nauka", Leningrad. Otdel., Leningrad, 1983, 72–88
Citation in format AMSBIB
\Bibitem{KirPop83}
\by N.~Ya.~Kirpichnikova, M.~M.~Popov
\paper Eeflection of space-time ray amplitudes from arbitrary moving boundary
\inbook Mathematical problems in the theory of wave propagation. Part~13
\serial Zap. Nauchn. Sem. LOMI
\yr 1983
\vol 128
\pages 72--88
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4240}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=712303}
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  • https://www.mathnet.ru/eng/znsl/v128/p72
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