Images reconstructed from computer-generated holograms synthesized by the iterative direct binary search (DBS) technique suffer from noise due to leakage from uncontrolled parts of the diffraction pattern. The statistics of the nonhomogeneous leakage noise are analyzed under the assumption of independent, identically distributed (iid) addressable hologram cell transmittances. Three measures for the effect of the leakage, root-mean-squared (rms) error, efficiency, and contrast are defined and compared for ensemble statistics based on the model and for sample statistics of the leakage noise in images reconstructed from iid holograms and from actual DBS holograms. To assess the relative significance of the leakage noise, these measures are compared with the rms representation-related error and the total efficiency in images reconstructed from DBS holograms. Except for a cross artifact due to a nonzero mean hologram transmittance, the leakage noise is found to exhibit specklelike unity contrast.
© 1989 Optical Society of America
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