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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.23819 |
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| _version_ | 1866918149935333376 |
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| author | Li, Qiuyi Chen, Bo Gao, Peng Sun, Yu Sun, Yao |
| author_facet | Li, Qiuyi Chen, Bo Gao, Peng Sun, Yu Sun, Yao |
| contents | In this paper, a novel time domain sampling method based on the initial arrival time of waves is proposed to reconstruct acoustic sources, including point sources, curve sources, surface sources and block sources. The uniqueness of reconstructing sources whose spatial support is a convex region is proved. Theoretical analyses are provided to demonstrate the validity of the proposed sampling method in reconstructing various types of sound sources. The proposed algorithm does not involve the time integral, exhibits high computational efficiency, and demonstrates strong noise resistance. Numerical experiments are conducted to show the effectiveness of the proposed method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_23819 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Reconstruction of acoustic sources from the initial arrival time of waves Li, Qiuyi Chen, Bo Gao, Peng Sun, Yu Sun, Yao Mathematical Physics 35L05, 65M32, 35A02 In this paper, a novel time domain sampling method based on the initial arrival time of waves is proposed to reconstruct acoustic sources, including point sources, curve sources, surface sources and block sources. The uniqueness of reconstructing sources whose spatial support is a convex region is proved. Theoretical analyses are provided to demonstrate the validity of the proposed sampling method in reconstructing various types of sound sources. The proposed algorithm does not involve the time integral, exhibits high computational efficiency, and demonstrates strong noise resistance. Numerical experiments are conducted to show the effectiveness of the proposed method. |
| title | Reconstruction of acoustic sources from the initial arrival time of waves |
| topic | Mathematical Physics 35L05, 65M32, 35A02 |
| url | https://arxiv.org/abs/2509.23819 |