Optimal phase retrieval from multiple observations with Gaussian noise: augmented Lagrangian algorithm for phase objects

Artem Migukin; Vladimir Katkovnik; Jaakko Astola

doi:10.1117/12.889118

26 May 2011 Optimal phase retrieval from multiple observations with Gaussian noise: augmented Lagrangian algorithm for phase objects

Artem Migukin, Vladimir Katkovnik, Jaakko Astola

Author Affiliations +

Proceedings Volume 8082, Optical Measurement Systems for Industrial Inspection VII; 80820L (2011) https://doi.org/10.1117/12.889118
Event: SPIE Optical Metrology, 2011, Munich, Germany

Abstract

A novel iterative phase-retrieval algorithm is developed for reconstruction of phase objects. We propose a constrained variational formulation of the phase-retrieval problem with the forward wave field propagation from the object to the measurement planes as constraints. It is assumed that noisy intensity-only observations are given at measurement planes parallel to the object plane, and the additive noise in the observations is zero-mean Gaussian. This algorithm is derived from the maximum likelihood approach what enables an optimal solution for the phase reconstruction. The advanced performance of the algorithm is demonstrated by numerical simulations.

Citation Download Citation

Artem Migukin, Vladimir Katkovnik, and Jaakko Astola "Optimal phase retrieval from multiple observations with Gaussian noise: augmented Lagrangian algorithm for phase objects", Proc. SPIE 8082, Optical Measurement Systems for Industrial Inspection VII, 80820L (26 May 2011); https://doi.org/10.1117/12.889118

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