Geodesic
Scattering of a~plane acoustic wave on a~periodic array of piston radiators embedded into a~rigid screen
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 25, Tome 230 (1995), pp. 125-137

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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. 
@article{ZNSL_1995_230_a10,
     author = {V. D. Luk'yanov and G. L. Nikitin},
     title = {Scattering of a~plane acoustic wave on a~periodic array of piston radiators embedded into a~rigid screen},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {125--137},
     publisher = {mathdoc},
     volume = {230},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a10/}
}
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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. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 25, Tome 230 (1995), pp. 125-137. http://geodesic.mathdoc.fr/item/ZNSL_1995_230_a10/