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Creation of desired intensity distributions. Part 1: The Gerchberg-Saxton algorithm, hill-climbing algorithm, and their combination


We consider the problem of the creation of the desired intensity distributions with the help of the Gerchberg-Saxton algorithm and hill-climbing algorithm with a constant and variable step. The efficiency of the algorithms for different input parameters is analyzed. For a better correction accuracy, two different hybrid methods are used: the first method consists of the successive use of the Gerchberg-Saxton algorithm after running the hill-climbing algorithm. In the second, more universal method, the Gerchberg-Saxton algorithm is built into the hill-climbing algorithm so that for each iteration of the latter there is a specified number of iterations of the former. The abovementioned algorithms treat the beams a few times more accurately when used in the hybrid regime than when used separately.

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Original Russian Text © A.S. Mikryukov, I.V. Il’ina, T.Yu. Cherezova, 2010, published in Optica Atmosfery i Okeana.

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Mikryukov, A.S., Il’ina, I.V. & Cherezova, T.Y. Creation of desired intensity distributions. Part 1: The Gerchberg-Saxton algorithm, hill-climbing algorithm, and their combination. Atmos Ocean Opt 23, 229–235 (2010).

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  • Intensity Distribution
  • Phase Function
  • Hybrid Algorithm
  • Variable Step
  • Output Plane