An inverse electromagnetic scattering problem for a bi-periodic inhomogeneous layer on a perfectly conducting plate

Details An inverse electromagnetic scattering problem for a bi-periodic inhomogeneous layer on a perfectly conducting plate An inverse electromagnetic scattering problem for a bi-periodic inhomogeneous layer on a perfectly conducting plate

2010-03-16

arxiv.org/abs/1003.3068v1

Mathematics

Analysis of PDEs

19 pages, submitted for publication

Scientific paper

This paper is concerned with uniqueness for reconstructing a periodic inhomogeneous medium covered on a perfectly conducting plate. We deal with the problem in the frame of time-harmonic Maxwell systems without TE or TM polarization. An orthogonal relation for two refractive indices is obtained, and then inspired by Kirsch's idea, the refractive index can be identified by utilizing the eigenvalues and eigenfunctions of a quasi-periodic Sturm-Liouville eigenvalue problem.

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