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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


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Direct and inverse problems of the wave diffraction by screens with arbitrary finite inhomogeneities

V. V. Lozhechko / Yu. V. Shestopalov

Department of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119899, Russia

Institute of Engineering Sciences, Physics, and Mathematics, Karlstad University, Karlstad, S-651 88, Sweden. E-mail:

Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 11, Issue 6, Pages 643–654, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/156939403322759697,

Publication History

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We consider direct and inverse diffraction problems for a class of domains with noncompact boundaries that arise in mathematical models of the wave scattering by planar screens with arbitrary finite inhomogeneities. We prove the unique solvability of the direct problems in the Sobolev spaces. The inverse problems are formulated and uniqueness of reconstructing the permittivity and the shape of the scatterer from the scattering data is proved.

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[1]
Yury Shestopalov and Yury Smirnov
Journal of Physics: Conference Series, 2012, Volume 346, Page 012019
[3]
Y. V. Shestopalov and V. V. Yakovlev
Radio Science, 2007, Volume 42, Number 6, Page n/a

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