Asymptotic formulas for phase recovering from phaseless data of biharmonic waves at a fixed frequency
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866915795461734400 |
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| author | Cheng, Yuxiang Xu, Xiaoxu |
| author_facet | Cheng, Yuxiang Xu, Xiaoxu |
| contents | This paper focuses on phase retrieval from phaseless total-field data in biharmonic scattering problems. We prove that a phased biharmonic wave can be uniquely determined by the modulus of the total biharmonic wave within a nonempty domain. As a direct corollary, the uniqueness for the inverse biharmonic scattering problem with phaseless total-field data is established. Moreover, using the Atkinson-type asymptotic expansion, we derive explicit asymptotic formulas for the problem of phase retrieval. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_06917 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Asymptotic formulas for phase recovering from phaseless data of biharmonic waves at a fixed frequency Cheng, Yuxiang Xu, Xiaoxu Analysis of PDEs This paper focuses on phase retrieval from phaseless total-field data in biharmonic scattering problems. We prove that a phased biharmonic wave can be uniquely determined by the modulus of the total biharmonic wave within a nonempty domain. As a direct corollary, the uniqueness for the inverse biharmonic scattering problem with phaseless total-field data is established. Moreover, using the Atkinson-type asymptotic expansion, we derive explicit asymptotic formulas for the problem of phase retrieval. |
| title | Asymptotic formulas for phase recovering from phaseless data of biharmonic waves at a fixed frequency |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2601.06917 |