Computational inverse scattering with internal sources: a reproducing kernel Hilbert space approach
Numerical Analysis
2024-07-18 v1 Numerical Analysis
Mathematical Physics
math.MP
Abstract
We present a method to reconstruct the dielectric susceptibility (scattering potential) of an inhomogeneous scattering medium, based on the solution to the inverse scattering problem with internal sources. We employ the theory of reproducing kernel Hilbert spaces, together with regularization to recover the susceptibility of two- and three-dimensional scattering media. Numerical examples illustrate the effectiveness of the proposed reconstruction method.
Cite
@article{arxiv.2407.12656,
title = {Computational inverse scattering with internal sources: a reproducing kernel Hilbert space approach},
author = {Yakun Dong and Kamran Sadiq and Otmar Scherzer and John C. Schotland},
journal= {arXiv preprint arXiv:2407.12656},
year = {2024}
}
Comments
11 Pages, 6 figures, 1 table