Iterative interlacing approach for synthesis of computer-generated holograms

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Abstract
An approach for optimizing computer-generated holograms is discussed. The approach can be summarized most generally as hierarchically designing a number of holograms to add up coherently to a single desired reconstruction. In the case of binary holograms, this approach results in the interlacing technique (IT) and the iterative interlacing technique (IIT). In the IT, a number of subholograms are designed and interlaced together to generate the total binary hologram. The first subhologram is designed to reconstruct the desired image. The succeeding subholograms are designed to correct the remaining error image. In the IIT, the remaining error image after the last subhologram is circulated back to the first subhologram, and the process is continued a number of sweeps until convergence. Both techniques can be used together with most computer-generated-hologram synthesis algorithms and result in a substantial reduction in reconstruction error as well as an increased speed of convergence in the case of iterative algorithms.