A quantitative direct sampling method for inhomogeneities from multi-frequency backscattering measurements
Numerical Analysis
2026-04-29 v1 Numerical Analysis
Abstract
The inverse scattering problem from the multi-frequency backscattering data is a long-standing open problem. We advance the theory by proving a local uniqueness result. Moreover, we introduce a direct sampling method for quantitatively reconstructing unknown inhomogeneities. Comprehensive numerical experiments validate the robustness, accuracy, and computational effectiveness of the proposed quantitative direct sampling method.
Cite
@article{arxiv.2604.25583,
title = {A quantitative direct sampling method for inhomogeneities from multi-frequency backscattering measurements},
author = {Yukun Guo and Xiaodong Liu},
journal= {arXiv preprint arXiv:2604.25583},
year = {2026}
}
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21 pages