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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 342, Pages 164–186 (Mi znsl126)  
Scattering of waves by a diffraction grating with a local default of its periodic structure

M. A. Lyalinov

Saint-Petersburg State University
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Abstract: Scattering of waves by an impedance strips grating with a local defect over its surface is considered. Formulation of the problem and a basic energy correlation are discussed. Integral equations for the problem at hand is studied. The leading term of the asymptotic solution for a small defect is represented. The latter depends on integral characteristics of the defect.
Received: 20.01.2007
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 148, Issue 5, Pages 728–740
DOI: https://doi.org/10.1007/s10958-008-0020-5
Bibliographic databases:
UDC: 527
Language: Russian
Citation: M. A. Lyalinov, “Scattering of waves by a diffraction grating with a local default of its periodic structure”, Mathematical problems in the theory of wave propagation. Part 36, Zap. Nauchn. Sem. POMI, 342, POMI, St. Petersburg, 2007, 164–186; J. Math. Sci. (N. Y.), 148:5 (2008), 728–740
Citation in format AMSBIB
\Bibitem{Lya07}
\by M.~A.~Lyalinov
\paper Scattering of waves by a~diffraction grating with a~local default of its periodic structure
\inbook Mathematical problems in the theory of wave propagation. Part~36
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 342
\pages 164--186
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl126}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2365113}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 148
\issue 5
\pages 728--740
\crossref{https://doi.org/10.1007/s10958-008-0020-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38349186548}
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