Phase retrieval of large-scale time-varying aberrations using a non-linear Kalman filtering framework
Pieter Piscaer (TU Delft - Team Raf Van de Plas)
Oleg Soloviev (TU Delft - Team Raf Van de Plas)
Michel Verhaegen (TU Delft - Team Raf Van de Plas)
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Abstract
This paper presents a computationally efficient framework in which a single focal-plane image is used to obtain a high-resolution reconstruction of dynamic aberrations. Assuming small-phase aberrations, a non-linear Kalman filter implementation is developed whose computational complexity scales close to linearly with the number of pixels of the focal-plane camera. The performance of themethod is tested in a simulation of an adaptive optics system, where the small-phase assumption is enforced by considering a closed-loop system that uses a low-resolution wavefront sensor to control a deformable mirror. The results confirmthe computational efficiency of the algorithm and showa large robustness against noise and model uncertainties.