Sampling methods for the inverse cavity scattering problem of biharmonic waves
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908516859510784 |
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| author | Harris, Isaac Li, Peijun Ozochiawaeze, General |
| author_facet | Harris, Isaac Li, Peijun Ozochiawaeze, General |
| contents | This paper addresses the inverse problem of qualitatively recovering a clamped cavity in a thin elastic plate using far-field measurements. We present a strengthened analysis of the linear sampling method by carefully examining the range of the far-field operator and employing the reciprocity relation of the biharmonic far-field pattern. In addition, we implement both the linear sampling method for reconstructing the cavity and the extended sampling method for localizing the cavity under limited-aperture data. Numerical experiments demonstrate the effectiveness and robustness of both methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02773 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sampling methods for the inverse cavity scattering problem of biharmonic waves Harris, Isaac Li, Peijun Ozochiawaeze, General Analysis of PDEs This paper addresses the inverse problem of qualitatively recovering a clamped cavity in a thin elastic plate using far-field measurements. We present a strengthened analysis of the linear sampling method by carefully examining the range of the far-field operator and employing the reciprocity relation of the biharmonic far-field pattern. In addition, we implement both the linear sampling method for reconstructing the cavity and the extended sampling method for localizing the cavity under limited-aperture data. Numerical experiments demonstrate the effectiveness and robustness of both methods. |
| title | Sampling methods for the inverse cavity scattering problem of biharmonic waves |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2509.02773 |