A Radon-transform-based formula for reconstructing acoustic sources from the scattered fields
Mathematical Physics
2026-03-12 v1 math.MP
Abstract
We propose a novel indicator function for reconstructing acoustic sources from multi-frequency near-field measurements. The theoretical basis is established by a formula relating the scattered field to the source function through the Radon transform. Such a representation enables us to recover the source function directly. The efficiency and robustness of the novel indicator function are verified by several numerical examples.
Keywords
Cite
@article{arxiv.2603.10739,
title = {A Radon-transform-based formula for reconstructing acoustic sources from the scattered fields},
author = {Xiaodong Liu and Jing Wang},
journal= {arXiv preprint arXiv:2603.10739},
year = {2026}
}