Abstract

An algorithm to extract phases with dislocations from intensity measurements is proposed, and demonstrated on paraxial wave fields. The proposed algorithm makes use of the partial Fourier transformation which does not conserve the longitudinal orbital angular momentum and hence can create or destroy phase dislocations naturally, and can distinguish between their orientation. A method to realize the partial Fourier transformation using thin cylindrical lenses is outlined. Unambiguous phase retrieval is numerically demonstrated on random complex superpositions of Laguerre-Gaussian modes with both integer and fractional orbital angular momentum.

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