Abstract
An inverse problem for a stratified slab of a bi-isotropic medium is considered in the frequency domain. Considering obliquely impinging plane waves, an imbedding equation for the reflection coefficient matrix is derived through the concept of wave-splitting. An optimization approach is applied to reconstruct the constitutive parameters as functions of the position using band-limited reflection data from different angles of illumination. An exact and explicit expressions for the gradient is derived, which result in a one order faster computation compared with numerical perturbations of the objective functionals. The reconstruction algorithm (based upon a conjugate gradient method) is tested with both clean and noisy data.
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