Phase Retrieval Frommultiple Plane Observations: Constrained Variational Formulation and Augmented Lagrangian Recursive Algorithm
نویسندگان
چکیده
A new recursive augmented Lagrangian (AL) algorithm is presented for the module and phase reconstruction of a 3D wave eld from intensity-only measurements on two or more sensor planes at different axial positions. The wave eld reconstruction is framed as a constrained nonlinear optimization problem allowing to involve prior information on a wave eld of interest. The main goal is to design the algorithm which is more accurate than the conventional ones such as the well-known GerchbergSaxton algorithms and their multiple modi cations [1]-[5]. A numerical study of the proposed AL algorithm for various types of the object modulation shows a better accuracy of wave eld reconstruction and better imaging for different setup parameters comparing with the successive iterative method, originated in [3].
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