Abstract
Scattering of waves by a grating of impedance strips with a local defect over its surface is considered. The statement of the problem and the basic energy identity are discussed. Integral equations for the problem at hand are studied. The leading term of the asymptotic solution for a small defect is presented. This term depends on integral characteristics of the defect. Bibliography: 4 titles.
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References
T. N. Galishnikova and A. S. Il’insky, Numerical Methods in Diffraction Problems [in Russian], Mosk. Gos. Univ., Moscow (1987).
A. S. Il’insky and Yu. V. Shestopalov, Application of Methods of Spectral Theory to Problems of Wave Propagation [in Russian], Mosk. Gos. Univ., Moscow (1989).
A. M. Il’in, Matching Asymptotic Expansions of Solutions of Boundary-Value Problems [in Russian], Nauka, Moscow (1989).
N. S. Landkof, Foundations of Modern Potential Theory, Springer-Verlag, New York (1972).
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 342, 2007, pp. 164–186.
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Lyalinov, M.A. Scattering of waves by a diffraction grating with a local violation of its periodic structure. J Math Sci 148, 728–740 (2008). https://doi.org/10.1007/s10958-008-0020-5
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DOI: https://doi.org/10.1007/s10958-008-0020-5