Abstract: In the present work the applications of a generalized projection strategy to the synthesis of phase diffractive optical elements (DOEs) is considered. The passage from the complex transmission function to the phase-only function based on the introduction of a carrier into the phase function of the element under synthesis is shown to be equivalent to the choice of the projection operator on a set of functions with constant amplitude distribution in the space with special norm introduced. The method combines iterative calculation of the hologram phase function with coding of the amplitude-phase characteristics of the complex transmission function into phase. The results of computational experiments are presented. !15
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