A direct sampling method based on the Green's function for time-dependent inverse scattering problems

TL;DR

This paper introduces a direct sampling method using Green's function and time convolution for efficiently reconstructing scatterer locations in time-dependent inverse acoustic scattering problems, avoiding complex equation solving.

Contribution

The paper proposes a novel direct sampling approach based on Green's function and time convolution that simplifies the reconstruction process in inverse scattering problems.

Findings

Methods are easy to implement and involve only integral calculus.

Numerical experiments demonstrate effectiveness and robustness.

Applicable to various scatterer configurations.

Abstract

This paper concerns the numerical simulation of time domain inverse acoustic scattering problems with a point-like scatterer, multiple point-like scatterers or normal size scatterers. Based on the Green's function and the application of the time convolution, direct sampling methods are proposed to reconstruct the location of the scatterer. The proposed methods involve only integral calculus without solving any equations and are easy to implement. Numerical experiments are provided to show the effectiveness and robustness of the methods.