Simultaneous recovery of a locally rough interface and the embedded obstacle with the reverse time migration

TL;DR

This paper introduces a new reverse time migration method for simultaneously reconstructing a locally rough interface and embedded obstacles in acoustic scattering, demonstrating its effectiveness through numerical examples.

Contribution

A novel reverse time migration approach using a modified Helmholtz-Kirchhoff identity for joint imaging of interfaces and obstacles in acoustic scattering.

Findings

The method accurately peaks on interface perturbations and obstacles.

Numerical examples confirm the effectiveness of the proposed imaging functional.

The approach successfully reconstructs complex scattering scenarios.

Abstract

Consider the inverse acoustic scattering of time-harmonic point sources by an unbounded locally rough interface with bounded obstacles embedded in the lower half-space. A novel version of reverse time migration is proposed to reconstruct both the locally rough interface and the embedded obstacle. By a modified Helmholtz-Kirchhoff identity associated with a planar interface, we obtain a modified imaging functional which has been shown that it always peaks on the local perturbation of the interface and on the embedded obstacle. Numerical examples are presented to demonstrate the effectiveness of the method.