We present in this talk 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 method is based on the Helmholtz–Kirchhoff identity, the cross-correlation between measurements, and the volume and imaginary near-field operators. Implementations in MATLAB using boundary elements, the SVD, Tikhonov regularization, and Morozov’s discrepancy principle will also be discussed.
arXiv: https://arxiv.org/pdf/2210.15560.pdf
Blog post: https://hadrien-montanelli.github.io/2022-11-04.html
