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The original algorithm of phase reconstruction is proposed and its characteristics are estimated. This algorithm requires detection of dislocation coordinates so it should be used together with the algorithm of dislocation localization. In the paper the comparison is performed of the proposed algorithm with the well known Fried's algorithm. After that the phase reconstruction technique is included into the model of a typical adaptive optics system.
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Valerii P. Aksenov, Igor V. Izmailov, Feodor Yu. Kanev, "Algorithms of a singular wavefront reconstruction," Proc. SPIE 6018, 5th International Workshop on Adaptive Optics for Industry and Medicine, 60181B (8 June 2006); https://doi.org/10.1117/12.669381