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J Opt Soc Am A Opt Image Sci Vis. 2011 Jun 1;28(6):993-1002. doi: 10.1364/JOSAA.28.000993.

Wave field reconstruction from multiple plane intensity-only data: augmented lagrangian algorithm.

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Department of Signal Processing, Tampere University of Technology, P.O. Box 527, FI-33101 Tampere, Finland.


A complex-valued wave field is reconstructed from intensity-only measurements given at multiple observation planes parallel to the object plane. The phase-retrieval algorithm is obtained from the constrained maximum likelihood approach provided that the additive noise is gaussian. The forward propagation from the object plane to the measurement plane is treated as a constraint in the proposed variational setting of reconstruction. The developed iterative algorithm is based on an augmented lagrangian technique. An advanced performance of the algorithm is demonstrated by numerical simulations.

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