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"Iterative algorithm for the design of free-space diffractive optical elements for fiber coupling", by Martin. J. Thomson, Jinsong Liu and M. R. Taghizadeh, Applied Optics. 43:1996--1999, 2004.

We present a design method based on the Gerchberg-Saxton algorithm for the design of high-performance diffractive optical elements. Results from this algorithm are compared with results from simulated annealing and the iterative Fourier-transform algorithm. The element performance is comparable with those designed by simulated annealing, whereas the design time is similar to the iterative Fourier-transform method. Finally, we present results for a demanding beam-shaping task that was beyond the capabilities of either of the traditional algorithms. The element performances demonstrate greater than 85% efficiency and less than 2% uniformity error.

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