Multidimensional Inverse Problems in Perturbed Stratified Media,

We study two inverse problems, at a fixed positive frequency, in perturbed stratified media that have guided waves. First we prove that a perturbation of compact support is uniquely determined by the near field in a closed bounded surface that contains the perturbation inside. Then we prove that a perturbation that decays exponentially is uniquely determined by the scattering matrix.