Calculation of the exact diffraction field of a three dimensional object from its samples taken over the entire space can be obtained by defining it as an inverse problem. For that purpose, we propose an algorithm based on L1-norm minimization to solve the defined inverse problem. Proposed algorithm paves the way to reconstruct the original diffraction field by having less number of samples compared to the methods based on L2-norm minimization.
G. Bora Esmer, "Computation of exact diffraction field from its distributed samples," Proc. SPIE 10127, Practical Holography XXXI: Materials and Applications, 101270M (Presented at SPIE OPTO: January 31, 2017; Published: 6 April 2017); https://doi.org/10.1117/12.2251375.
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