Iterative weight-based method for calculating kinoforms

Victor V. Kotlyar; P. G. Seraphimovich; Victor A. Soifer

doi:10.1117/12.199632

19 January 1995 Iterative weight-based method for calculating kinoforms

Victor V. Kotlyar, P. G. Seraphimovich, Victor A. Soifer

Proceedings Volume 2363, 5th International Workshop on Digital Image Processing and Computer Graphics (DIP-94); (1995) https://doi.org/10.1117/12.199632
Event: Digital Image Processing and Computer Graphics: Fifth International Workshop, 1994, Samara, Russian Federation

Abstract

Kinoforms are phase elements serving to transform incident laser light into a pregiven intensity distribution (image) with high efficiency and into a desired spatial plane. An iterative Gerchberg-Saxton algorithm (GS) for which it has been proven that the algorithm converges, is a variant of the conditional gradient method and minimizes the functional of the rms deviation of the reconstructed image from a pregiven one. In the present paper we have considered a parametric extension of the GS algorithm for calculating kinoforms. It has been shown that by fitting the parameter one can raise the rate of the algorithm convergence. The developed algorithm is called `weight-based' and is shown to have the convergence rate twice as large as that for the GS algorithm. The problem of calculating kinoforms is related to the successive approximations' method used in solving a non-linear integral equation.

Citation Download Citation

Victor V. Kotlyar, P. G. Seraphimovich, and Victor A. Soifer "Iterative weight-based method for calculating kinoforms", Proc. SPIE 2363, 5th International Workshop on Digital Image Processing and Computer Graphics (DIP-94), (19 January 1995); https://doi.org/10.1117/12.199632

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