GENERAL OPTIMIZATION APPROACH TO A FREQUENCY-DOMAIN INVERSE PROBLEM OF A STRATIFIED BIANISOTROPIC SLAB

An inverse problem for a stratified slab of a general bianisotropic me dium is considered in the frequency domain. Considering obliquely impi nging plane waves, imbedding equations and Green's functions equations for the reflection and transmission coefficient matrices and the inte rnal fields are derived through the concept of wave-splitting. Two dif ferent optimization approaches, based on the imbedding method and the Green's functions method respectively, are applied to reconstruct the constitutive parameters as functions of the position using band-limite d reflection and/or transmission data from different angles of illumin ation. Exact and explicit expressions for the gradients are derived, w hich result in a one order faster computation compared with numerical perturbations of the objective functionals. The reconstruction algorit hm (based upon a conjugate gradient method) is tested with both clean and noisy data.