Reverse Time Migration for Extended Obstacles: Acoustic Waves

TL;DR

This paper analyzes the resolution of single frequency reverse time migration (RTM) for extended obstacles in acoustic wave imaging, demonstrating improved stability and imaging quality without relying on geometric optics approximation.

Contribution

It provides a resolution analysis of RTM for extended targets without geometric optics assumptions, applicable to both penetrable and non-penetrable obstacles with various boundary conditions.

Findings

Imaginary part of the imaging functional is always positive.

Numerical experiments confirm high imaging quality.

Resolution analysis applies to multiple obstacle types.

Abstract

We consider the resolution of the single frequency reverse time migration (RTM) method for extended targets without the assumption of the validation of 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.