The method of fundamental solutions for the identification of a sound-soft obstacle in inverse acoustic scattering

In this paper we propose a simple meshless method of fundamental solutions (MFS) for detecting a sound-soft scatterer embedded in a host acoustic homogeneous medium from the measurement of the far-field pattern of the scattered wave for only one incoming direction. Further, when this measurement is contaminated with noise, we augment the MFS with a nonlinear constrained regularized minimization for obtaining a stable numerical solution of the inverse problem. Numerical results are presented and discussed.