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Zapiski Nauchnykh Seminarov LOMI, 1988, Volume 173, Pages 142–154 (Mi znsl4504)  
Diffraction of the plane waves on conical obstacles

V. P. Smyshlyaev
Full-text PDF (652 kB)
Abstract: The problem of diffraction of a plane wave on conical obstacle of rather orbitrary cross-section is considered. Construction of a solution in the form of the Watson integral and its further investigation allowes to derive some formulas describing spherical waves diffracted by the vertex of a cone.
English version:
Journal of Soviet Mathematics, 1991, Volume 55, Issue 3, Pages 1747–1757
DOI: https://doi.org/10.1007/BF01098214
Bibliographic databases:
Document Type: Article
UDC: 517.944/947
Language: Russian
Citation: V. P. Smyshlyaev, “Diffraction of the plane waves on conical obstacles”, Mathematical problems in the theory of wave propagation. Part 18, Zap. Nauchn. Sem. LOMI, 173, "Nauka", Leningrad. Otdel., Leningrad, 1988, 142–154; J. Soviet Math., 55:3 (1991), 1747–1757
Citation in format AMSBIB
\Bibitem{Smy88}
\by V.~P.~Smyshlyaev
\paper Diffraction of the plane waves on conical obstacles
\inbook Mathematical problems in the theory of wave propagation. Part~18
\serial Zap. Nauchn. Sem. LOMI
\yr 1988
\vol 173
\pages 142--154
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4504}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0983361}
\zmath{https://zbmath.org/?q=an:0725.35077|0694.35166}
\transl
\jour J. Soviet Math.
\yr 1991
\vol 55
\issue 3
\pages 1747--1757
\crossref{https://doi.org/10.1007/BF01098214}
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