Phase retrieval via media diversity
Optics
2025-05-22 v2 Numerical Analysis
Image and Video Processing
Numerical Analysis
Applied Physics
Computational Physics
Abstract
This work studies phase retrieval for wave fields, aiming to recover the phase of an incoming wave from multi-plane intensity measurements behind different types of linear and nonlinear media. We show that unique phase retrieval can be achieved by utilizing intensity data produced by multiple media. This uniqueness does not require prescribed boundary conditions for the phase in the incidence plane, in contrast to existing phase retrieval methods based on the transport of intensity equation. Moreover, the uniqueness proofs lead to explicit phase reconstruction algorithms. Numerical simulations are presented to validate the theory.
Cite
@article{arxiv.2410.12767,
title = {Phase retrieval via media diversity},
author = {Yan Cheng and Kui Ren and Nathan Soedjak},
journal= {arXiv preprint arXiv:2410.12767},
year = {2025}
}