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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 810676, 13 pages
http://dx.doi.org/10.1155/2012/810676
Research Article

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

Department of Mathematics, National Cheng Kung University, Tainan City 70101, Taiwan

Received 14 February 2012; Accepted 18 April 2012

Academic Editor: Ravshan Ashurov

Copyright © 2012 Kuo-Ming Lee. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We present a two-step method for recovering an unknown sound-hard crack in 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.