Inverse Scattering from a Sound-Hard Crack via Two-Step Method

Abstract

We present a two-step method for recovering an unknown sound-hard crack in ${ℝ}^2$ from the measured far-field pattern. This method, based on a two-by-two system of nonlinear integral equations, splits the reconstruction into two consecutive steps which consists of a forward and an inverse problems. In this spirit, only the latter needs to be regularized.