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arXiv · 2601.06917

Asymptotic formulas for phase recovering from phaseless data of biharmonic waves at a fixed frequency

Yuxiang Cheng·Xiaoxu Xu
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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.

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Yuxiang Cheng, Xiaoxu Xu. 2026-01-11. Asymptotic formulas for phase recovering from phaseless data of biharmonic waves at a fixed frequency. https://arxiv.org/abs/2601.06917

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