A novel time-domain direct sampling approach for inverse scattering problems in acoustics
Numerical Analysis
2023-12-08 v1 Numerical Analysis
Abstract
This work is concerned with an inverse scattering problem of determining unknown scatterers from time-dependent acoustic measurements. A novel time-domain direct sampling method is developed to efficiently determine both the locations and shapes of inhomogeneous media. In particular, our approach is very easy to implement since only cheap space-time integrations are involved in the evaluation of the imaging functionals. Based on the Fourier-Laplace transform, we establish an inherent connection between the time-domain and frequency-domain direct sampling method. Moreover, rigorous theoretical justifications and numerical experiments are provided to verify the validity and feasibility of the proposed method.
Cite
@article{arxiv.2312.04241,
title = {A novel time-domain direct sampling approach for inverse scattering problems in acoustics},
author = {Yukun Guo and Hongjie Li and Xianchao Wang},
journal= {arXiv preprint arXiv:2312.04241},
year = {2023}
}