Polarimetric phase retrieval: uniqueness and algorithms

Julien Flamant
CRAN, Université de Lorraine, Nancy

Date(s) : 10/03/2023   iCal
14 h 30 min - 15 h 30 min

Phase retrieval problems are ubiquitous in imaging applications, such as crystallography, coherent diffraction imaging or ptychography, among others. To enable the systematic use of light polarization information in such problems, we propose a novel phase retrieval model, called polarimetric phase retrieval, that leverages the physics of polarization measurement in optics.
In this talk, I will first detail the uniqueness properties of this new model by unraveling equivalencies with a peculiar polynomial factorization problem. The latter will turn out to play a critical role, both regarding uniqueness of the problem and the design of algebraic reconstruction methods based on approximate greatest common divisor computations. I will eventually highlight a computationally efficient reconstruction strategy for polarimetric phase retrieval that combines algebraic with more standard iterative approaches. Several numerical experiments on synthetic data will be presented..

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