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

摘要

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