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.
Published in: Journal of Computational Physics, Volume 464, Issue C (September 2022)