Factorization method for near-field inverse scattering problems in elastodynamics
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908385219182592 |
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| author | Liu, Chun Hu, Guanghui Yin, Tao Zhang, Bo |
| author_facet | Liu, Chun Hu, Guanghui Yin, Tao Zhang, Bo |
| contents | Consider a time-harmonic elastic point source incident on a bounded obstacle which is embedded in an open space filled with a homogeneous and isotropic elastic medium. This paper is concerned with the inverse problem of recovering the location and shape of the obstacle from near-field data generated by infinitely many incident point source waves at a fixed energy. The incident point sources and the receivers for recording scattered signals are both located on a spherical closed surface, on which an outgoing-to-incoming operator is defined for facilitating the factorization of the near-field operator. Numerical examples in 2D are presented to show the validity and accuracy of the inversion algorithm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_24288 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Factorization method for near-field inverse scattering problems in elastodynamics Liu, Chun Hu, Guanghui Yin, Tao Zhang, Bo Analysis of PDEs Numerical Analysis 35R30, 65N21, 35P25 Consider a time-harmonic elastic point source incident on a bounded obstacle which is embedded in an open space filled with a homogeneous and isotropic elastic medium. This paper is concerned with the inverse problem of recovering the location and shape of the obstacle from near-field data generated by infinitely many incident point source waves at a fixed energy. The incident point sources and the receivers for recording scattered signals are both located on a spherical closed surface, on which an outgoing-to-incoming operator is defined for facilitating the factorization of the near-field operator. Numerical examples in 2D are presented to show the validity and accuracy of the inversion algorithm. |
| title | Factorization method for near-field inverse scattering problems in elastodynamics |
| topic | Analysis of PDEs Numerical Analysis 35R30, 65N21, 35P25 |
| url | https://arxiv.org/abs/2505.24288 |