WIAS Preprint No. 1499, (2010)

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



Authors

  • Hu, Guanghui
  • Yang, Jiaqing
  • Zhang, Bo

2010 Mathematics Subject Classification

  • 78A46 35R30 35B27 35Q61

Keywords

  • Inverse electromagnetic scattering, uniqueness, periodic inhomogeneous layer, Maxwell's equations

Abstract

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.

Appeared in

  • Appl. Anal., 90 (2011) pp. 317--333.

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