We present a two-step method for recovering an unknown sound-hard crack in 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.
"Inverse Scattering from a Sound-Hard Crack via Two-Step Method." Abstr. Appl. Anal. 2012 (SI18) 1 - 13, 2012. https://doi.org/10.1155/2012/810676