RECURSIVE MEAN-SQUARED-ERROR ALGORITHM FOR ITERATIVE DISCRETE ON-AXIS ENCODED HOLOGRAMS

A hybrid-algorithm has been developed that uses the concept of a rapid recursive mean-squared-error (RMSE) function combined with the annealed, multiphase, on-axis capabilities of iterative discrete on-axis (IDO) encoding. High diffraction efficiency and computational speed are obtained through the use of the RMSE algorithm with a constant weighting coefficient in the error function and an iterative initial process for determining phase codes in the output plane. Results for large even spot arrays are presented, and comparisons are made for diffraction efficiency, spot uniformity, and computation speed between the original IDO and the RMSE-based IDO encoding.