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Zapiski Nauchnykh Seminarov POMI, 2022, Volume 516, Pages 238–252 (Mi znsl7274)  
A method for approximate computation of the scattering matrix in acoustic diffraction gratings

B. A. Plamenevsky, A. S. Poretsky, O. V. Sarafanov

Saint Petersburg State University
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Abstract: A two-dimensional reflection acoustic grating is considered. We formulate and justify a method for approximate computation of the scattering matrix describing the scattering of plane waves on the periodic boundary of this grating. To this purpose, the problem in the grating is reduced to a problem in an auxiliary waveguide. The known method for computing waveguide scattering matrices is expanded to the obtained waveguide. The suggested method is not influenced by surface waves in the grating.
Key words and phrases: acoustic diffraction grating, scattering of plain waves, waveguide scattering matrix, method for approximate computation.
Funding agency Grant number
Russian Science Foundation 22-21-00136
Received: 08.11.2022
Document Type: Article
UDC: 517.958
Language: Russian
Citation: B. A. Plamenevsky, A. S. Poretsky, O. V. Sarafanov, “A method for approximate computation of the scattering matrix in acoustic diffraction gratings”, Mathematical problems in the theory of wave propagation. Part 52, Zap. Nauchn. Sem. POMI, 516, POMI, St. Petersburg, 2022, 238–252
Citation in format AMSBIB
\Bibitem{PlaPorSar22}
\by B.~A.~Plamenevsky, A.~S.~Poretsky, O.~V.~Sarafanov
\paper A method for approximate computation of the scattering matrix in acoustic diffraction gratings
\inbook Mathematical problems in the theory of wave propagation. Part~52
\serial Zap. Nauchn. Sem. POMI
\yr 2022
\vol 516
\pages 238--252
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7274}
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