Asymptotic formulas for phase recovering from phaseless data of biharmonic waves at a fixed frequency
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 open set. 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.
Fields of Study & Subjects
Numerical methods in inverse problems
Spectral Theory in Mathematical Physics
Microwave Imaging and Scattering Analysis
Publication details
- Journal / source
- Inverse Problems and Imaging
- Volume
- 0
- Issue
- 0
- Publication date
- 1 January 2026