Factorization method for inverse time-harmonic elastic scattering with a single plane wave
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866908497499652096 |
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| author | Ma, Guanqiu Hu, Guanghui |
| author_facet | Ma, Guanqiu Hu, Guanghui |
| contents | This paper is concerned with the factorization method with a single far-field pattern to recover an arbitrary convex polygonal scatterer/source in linear elasticity. The approach also applies to the compressional (resp. shear) part of the far-field pattern excited by a single compressional (resp. shear) plane wave. The one-wave factorization is based on the scattering data for a priori given testing scatterers. It can be regarded as a domain-defined sampling method and does not require forward solvers. We derive the spectral system of the far-field operator for rigid disks and show that, using testing disks, the one-wave factorization method can be justified independently of the classical factorization method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_00787 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Factorization method for inverse time-harmonic elastic scattering with a single plane wave Ma, Guanqiu Hu, Guanghui Numerical Analysis This paper is concerned with the factorization method with a single far-field pattern to recover an arbitrary convex polygonal scatterer/source in linear elasticity. The approach also applies to the compressional (resp. shear) part of the far-field pattern excited by a single compressional (resp. shear) plane wave. The one-wave factorization is based on the scattering data for a priori given testing scatterers. It can be regarded as a domain-defined sampling method and does not require forward solvers. We derive the spectral system of the far-field operator for rigid disks and show that, using testing disks, the one-wave factorization method can be justified independently of the classical factorization method. |
| title | Factorization method for inverse time-harmonic elastic scattering with a single plane wave |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2109.00787 |