Reverse time migration for extended obstacles: acoustic waves

Abstract

We consider the resolution of the single-frequency reverse time migration method for extended targets without the assumption of the validation of the geometric optics approximation. The resolution analysis, which applies in both penetrable and non-penetrable obstacles with sound soft or impedance boundary condition on the boundary of the obstacle, implies that the imaginary part of the cross-correlation imaging functional is always positive and thus may have better stability properties. Numerical experiments are included to illustrate the powerful imaging quality and to confirm our resolution results.