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Zapiski Nauchnykh Seminarov POMI, 2008, Volume 354, Pages 5–18 (Mi znsl1643)  

This article is cited in 4 scientific papers (total in 5 papers)

On the scattering of the plane wave by transparent wedge

V. M. Babicha, N. V. Mokeevab

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University
Full-text PDF (254 kB) Citations (5)
References:
Abstract: It is proved in the paper, that the problem of scattering of the plane wave by transparent wedge, if the radiation conditions it should be mean in the form: it necessary to subtract from the solution the incident wave, all reflected and refracted waves. The remainder is to satisfy the radiation condition in integral form. The problem is scalar, the velocity of wave inside and outside of the wedge are not equal, the wave process is described by the classical Helmholtz equations, conjugation boundary condition take place on the sides of the wedge. Bibl. – 8 titles, fig. – 2.
Received: 25.01.2008
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 155, Issue 3, Pages 335–342
DOI: https://doi.org/10.1007/s10958-008-9219-8
Bibliographic databases:
UDC: 517.911
Language: Russian
Citation: V. M. Babich, N. V. Mokeeva, “On the scattering of the plane wave by transparent wedge”, Mathematical problems in the theory of wave propagation. Part 37, Zap. Nauchn. Sem. POMI, 354, POMI, St. Petersburg, 2008, 5–18; J. Math. Sci. (N. Y.), 155:3 (2008), 335–342
Citation in format AMSBIB
\Bibitem{BabMok08}
\by V.~M.~Babich, N.~V.~Mokeeva
\paper On the scattering of the plane wave by transparent wedge
\inbook Mathematical problems in the theory of wave propagation. Part~37
\serial Zap. Nauchn. Sem. POMI
\yr 2008
\vol 354
\pages 5--18
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1643}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 155
\issue 3
\pages 335--342
\crossref{https://doi.org/10.1007/s10958-008-9219-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-56749173385}
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  • https://www.mathnet.ru/eng/znsl/v354/p5
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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