Inverse scattering problem in the polarization parameters domain for isotropic layered media: solution via Newton-Kantorovick iterative technique

Abstract

An inverse scattering approach toward reconstruction of the complex permittivity function for a medium with one-dimensional inhomogeneity is presented. A principal feature of this approach is that the inverse problem is posed in the polarization parameters domain. "Points" of the latter describe different states of polarization of the incident wave. The resulting non-linear integral equation linking the informative parameter and the reconstructed quantity is inverted via the Newton-Kantorovich iteration method and Tikhonov's regularization technique. Illustrative numerical results for a radially inhomogeneous slab, a plane-stratified layer, and a plane-wave illumination are presented.