A direct sampling method based on the Green's function for time-dependent inverse scattering problems
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866910473462480896 |
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| author | Yu, Qingqing Chen, Bo Wang, Jiaru Sun, Yao |
| author_facet | Yu, Qingqing Chen, Bo Wang, Jiaru Sun, Yao |
| contents | This paper concerns the numerical simulation of time domain inverse acoustic scattering problems with a point-like scatterer, multiple point-like scatterers or normal size scatterers. Based on the Green's function and the application of the time convolution, direct sampling methods are proposed to reconstruct the location of the scatterer. The proposed methods involve only integral calculus without solving any equations and are easy to implement. Numerical experiments are provided to show the effectiveness and robustness of the methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_06020 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A direct sampling method based on the Green's function for time-dependent inverse scattering problems Yu, Qingqing Chen, Bo Wang, Jiaru Sun, Yao Numerical Analysis Mathematical Physics This paper concerns the numerical simulation of time domain inverse acoustic scattering problems with a point-like scatterer, multiple point-like scatterers or normal size scatterers. Based on the Green's function and the application of the time convolution, direct sampling methods are proposed to reconstruct the location of the scatterer. The proposed methods involve only integral calculus without solving any equations and are easy to implement. Numerical experiments are provided to show the effectiveness and robustness of the methods. |
| title | A direct sampling method based on the Green's function for time-dependent inverse scattering problems |
| topic | Numerical Analysis Mathematical Physics |
| url | https://arxiv.org/abs/2308.06020 |