Vol. 19, issue 12, article # 7

Banakh V.A., Falits A.V. Unwrapping of the optical field phase from its gradient in the presence of branch points. // Atmospheric and oceanic optics. 2006. V. 19. No. 12. P. 931-934.
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In this study, we have realized and tested an algorithm of phase unwrapping from its gradient for the case of wave front dislocations present. The algorithm proposed is based on the complex exponential phase estimator proposed by D. Fried and the least squares method (LSM). In unwrapping the hidden phase, the algorithm does not require the localization and pair matching of the branch points and corrects for the errors of LSM smoothing. High accuracy of the algorithm has been demonstrated by simulating wave front conjugation under conditions of turbulent atmosphere, as an example.