A Radon-transform-based formula for reconstructing acoustic sources from the scattered fields
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917332930002944 |
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| author | Liu, Xiaodong Wang, Jing |
| author_facet | Liu, Xiaodong Wang, Jing |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_10739 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Radon-transform-based formula for reconstructing acoustic sources from the scattered fields Liu, Xiaodong Wang, Jing Mathematical Physics 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. |
| title | A Radon-transform-based formula for reconstructing acoustic sources from the scattered fields |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2603.10739 |