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Proceedings Paper

Statistical moments of the transmittance of phase-only spatial light modulators
Author(s): Robert W. Cohn; R. J. Nonnenkamp
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Paper Abstract

The monochromatic diffraction patterns from phase-only spatial light modulators, such as deformable mirror- and liquid crystal-SLMs, are routinely modeled using the fast Fourier transform. Random errors in phase have typically been evaluated by Monte Carlo analysis. This can require the averaging of numerous runs to find the expected value of intensity and its standard deviation. However, the pixel structure of current modulators, which allows each pixel to apply arbitrary piston or tilt modulation, greatly simplifies the form of the expectations. Specifically, we assume that the parameters of piston, and likewise tilt, describing the entire SLM transmittance are Gaussian, independent, and identically distributed random variables. Expressions for the expected value of the Fourier plane intensity spectrum and its standard deviation, and for propagation of the intensity pattern to any arbitrary observation plane using the angular spectrum of waves formulation are presented. Each expression reduces to a small number of Fourier transform operations that may be efficiently calculated by the FFT.

Paper Details

Date Published: 13 January 1993
PDF: 9 pages
Proc. SPIE 1751, Miniature and Micro-Optics: Fabrication and System Applications II, (13 January 1993); doi: 10.1117/12.138892
Show Author Affiliations
Robert W. Cohn, Univ. of Louisville (United States)
R. J. Nonnenkamp, Univ. of Louisville (United States)


Published in SPIE Proceedings Vol. 1751:
Miniature and Micro-Optics: Fabrication and System Applications II
Chandrasekhar Roychoudhuri; Wilfrid B. Veldkamp, Editor(s)

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