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Nonlinear effects of phase blurring on Fourier transform holograms

Li Ge, Markus Duelli, and Robert W. Cohn

The ElectroOptics Research Institute
University of Louisville
Louisville, KY 40292

Abstract

            Error diffusion (ED) and pseudorandom encoding (PRE) methods of designing Fourier transform holograms are compared in terms of their properties and the optical performance of the resulting far-field diffraction pat-terns. Although both methods produce a diffuse noise pattern due to the error between the desired fully com-plex pattern and the encoded modulation, the PRE errors reconstruct uniformly over the nonredundant band-width of the discrete-pixel spatial light modulator, while the ED errors reconstruct outside the window of the designed diffraction pattern. Combining the two encoding methods produces higher-fidelity diffraction pat-terns than either method produces individually. For some designs the fidelity of the ED–PRE algorithm is even higher over the entire nonredundant bandwidth than for the previously reported [J. Opt. Soc. Am. A 16, 2425 (1999)] minimum-distance-PRE algorithm.

L. Ge, M. Duelli, and R. W. Cohn "Improved-fidelity error diffusion through blending with pseudorandom encoding," J. Opt. Soc. Am. A. 17(9), 1606-1615 (September 2000)

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