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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 15, Iss. 3 — Mar. 1, 1998
  • pp: 625–635

Signal window minimum average error algorithm for computer-generated holograms

K. Heggarty and R. Chevallier  »View Author Affiliations


JOSA A, Vol. 15, Issue 3, pp. 625-635 (1998)
http://dx.doi.org/10.1364/JOSAA.15.000625


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Abstract

We present an explanation of the minimum-average-error- (MAE-) based error diffusion algorithm for computer-generated hologram (CGH) calculation. This leads to a direct and straightforward link between the CGH reconstruction plane signal windows and the MAE diffusion weights: the diffusion weights should be the Fourier transform of the signal window function. A MAE algorithm based on these results is described and used to calculate test CGH’s, whose computer-simulated and experimental reconstructions confirm our analysis by generating true, low-error signal windows akin to those obtained with iterative algorithms. Comparisons made with an iterative algorithm show that the new algorithm is a powerful, low-computation-load, CGH binarization tool and that, when combined with random or image-independent diffusers, it makes possible the calculation of acceptable-performance, high-space–bandwidth-product CGH’s whose calculation would be unfeasible with iterative algorithms.

© 1998 Optical Society of America

OCIS Codes
(050.1380) Diffraction and gratings : Binary optics
(050.1970) Diffraction and gratings : Diffractive optics
(090.1760) Holography : Computer holography
(200.4650) Optics in computing : Optical interconnects

History
Original Manuscript: May 19, 1997
Revised Manuscript: September 24, 1997
Manuscript Accepted: October 13, 1997
Published: March 1, 1998

Citation
K. Heggarty and R. Chevallier, "Signal window minimum average error algorithm for computer-generated holograms," J. Opt. Soc. Am. A 15, 625-635 (1998)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-15-3-625

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