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Enhanced direct-search method for the computer design of holograms using state variables

A direct-search method for the computer design of phase holograms is presented. It is a general method not restricted to any particular optical geometry. The optimization of the hologram is carried out by examining the effect of small changes made to the hologram phase distribution on the image complex amplitude distribution. The effect of the changes is calculated using an approximation to the Fresnel-Kirchhoff integral. Binary phase hologram designs and simulated reconstructions of image intensity distributions are presented.