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

TL;DR

This paper introduces a Radon-transform-based formula that allows direct reconstruction of acoustic sources from scattered field measurements, enhancing efficiency and robustness in source imaging.

Contribution

The paper presents a new indicator function based on Radon transform theory for direct acoustic source reconstruction from near-field data.

Findings

The method accurately reconstructs sources in numerical tests.

The approach demonstrates robustness against measurement noise.

It offers a computationally efficient alternative to existing techniques.

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.