Inverse scattering problem for an impedance crack

In this paper we consider an inverse scattering problem whose aim is to recover the impedance function for an arbitrary crack from the far field pattern. Because of the ill-posedness of this problem, regularization method for example, Tikhonov regularization, is incorporated in our solution scheme. Several numerical examples with only one incident wave are given at the end of the paper to show the feasibility of our method.