Reverse Time Migration for Reconstructing Extended Obstacles in Planar Acoustic Waveguides

TL;DR

This paper introduces a reverse time migration technique for imaging extended obstacles in planar acoustic waveguides, demonstrating improved resolution and stability through theoretical analysis and numerical experiments.

Contribution

A novel reverse time migration method tailored for planar waveguides, with proven resolution properties and enhanced stability due to the positive imaginary part of the imaging function.

Findings

Resolution depends on aperture and waveguide thickness

Imaginary part of the imaging function is always positive

Numerical experiments confirm imaging quality and resolution

Abstract

We propose a new reverse time migration method for reconstructing extended obstacles in the planar waveguide using acoustic waves at a fixed frequency. We prove the resolution of the reconstruction method in terms of the aperture and the thickness of the waveguide. The resolution analysis implies that the imaginary part of the cross-correlation imaging function 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.