dorsal/arxiv
View SchemaAsymptotic formulas for phase recovering from phaseless data of biharmonic waves at a fixed frequency
| Authors | Yuxiang Cheng, Xiaoxu Xu, Haiwen Zhang |
|---|---|
| Categories | |
| ArXiv ID | 2601.06917vv1 |
| URL | https://arxiv.org/abs/2601.06917 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
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.
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"abstract": "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.",
"arxiv_id": "2601.06917",
"authors": [
"Yuxiang Cheng",
"Xiaoxu Xu",
"Haiwen Zhang"
],
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"math.AP"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Asymptotic formulas for phase recovering from phaseless data of biharmonic waves at a fixed frequency",
"url": "https://arxiv.org/abs/2601.06917",
"version": "v1"
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