The linear sampling method for random sources
Numerical Analysis
2023-03-21 v2 Numerical Analysis
Abstract
We present an extension of the linear sampling method for solving the sound-soft inverse acoustic scattering problem with randomly distributed point sources. The theoretical justification of our sampling method is based on the Helmholtz--Kirchhoff identity, the cross-correlation between measurements, and the volume and imaginary near-field operators, which we introduce and analyze. Implementations in MATLAB using boundary elements, the SVD, Tikhonov regularization, and Morozov's discrepancy principle are also discussed. We demonstrate the robustness and accuracy of our algorithms with several numerical experiments in two dimensions.
Cite
@article{arxiv.2210.15560,
title = {The linear sampling method for random sources},
author = {Josselin Garnier and Houssem Haddar and Hadrien Montanelli},
journal= {arXiv preprint arXiv:2210.15560},
year = {2023}
}