Near-field imaging of a locally rough interface and buried obstacles with the linear sampling method

Abstract

Consider the inverse acoustic scattering of time-harmonic point sources by a locally perturbed interface with buried obstacles in the lower half-space. A novel version of the sampling method is proposed to simultaneously reconstruct the local perturbation of the rough interface and buried obstacles by constructing a modified near-field equation associated with a special rough surface, yielding a fast imaging algorithm. Numerical examples are presented to illustrate the effectiveness of the inversion algorithm.