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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 230, Pages 125–137 (Mi znsl3770)  

Scattering of a plane acoustic wave on a periodic array of piston radiators embedded into a rigid screen

V. D. Luk'yanov, G. L. Nikitin

Military and Civil Engineering University
Abstract: The stationary scattering of a plane acoustic wave on a periodic or a doubly periodic set of piston radiators elastically connected with a rigid screen is considered. The screen separates two half-spaces filled with media possessing different acoustic properties. The model considered takes into account energy losses in the elastic ties between the piston radiators and rigid screen. The problem solution in the case where only one half-space is filled with an acoustic medium is found as a special case. The results of numerically analyzing the reflection coefficients of a plane wave as functions either of the frequency of the incident wave or of the angle of incidence of the plane acoustic wave for different values of the parameters involved are presented. Bibl. 4 titles.
Received: 10.09.1995
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 91, Issue 2, Pages 2782–2789
DOI: https://doi.org/10.1007/BF02433994
Bibliographic databases:
Document Type: Article
UDC: 534.26
Language: Russian
Citation: V. D. Luk'yanov, G. L. Nikitin, “Scattering of a plane acoustic wave on a periodic array of piston radiators embedded into a rigid screen”, Mathematical problems in the theory of wave propagation. Part 25, Zap. Nauchn. Sem. POMI, 230, POMI, St. Petersburg, 1995, 125–137; J. Math. Sci. (New York), 91:2 (1998), 2782–2789
Citation in format AMSBIB
\Bibitem{LukNik95}
\by V.~D.~Luk'yanov, G.~L.~Nikitin
\paper Scattering of a~plane acoustic wave on a~periodic array of piston radiators embedded into a~rigid screen
\inbook Mathematical problems in the theory of wave propagation. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 230
\pages 125--137
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3770}
\zmath{https://zbmath.org/?q=an:0900.76560}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 91
\issue 2
\pages 2782--2789
\crossref{https://doi.org/10.1007/BF02433994}
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