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arXiv · 2603.10739

A Radon-transform-based formula for reconstructing acoustic sources from the scattered fields

Xiaodong Liu·Jing Wang
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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.

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Xiaodong Liu, Jing Wang. 2026-03-11. A Radon-transform-based formula for reconstructing acoustic sources from the scattered fields. https://arxiv.org/abs/2603.10739

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