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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 42, Iss. 20 — Jul. 10, 2003
  • pp: 4156–4165

Multiplexed Computer-Generated Holograms with Polygonal-Aperture Layouts Optimized by Genetic Algorithm

Jean-Numa Gillet and Yunlong Sheng  »View Author Affiliations


Applied Optics, Vol. 42, Issue 20, pp. 4156-4165 (2003)
http://dx.doi.org/10.1364/AO.42.004156


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Abstract

Using a novel genetic algorithm (GA) with a Lamarckian search we optimize the polygonal layout of a new type of multiplexed computer-generated hologram (MCGH) with polygonal apertures. A period of the MCGH is divided into cells, and the cell is further divided into polygonal apertures according to a polygonal layout, which is to be optimized. Among an ensemble of 1.21 × 10<sup>24</sup> possible polygonal layouts, we take a population of 102 solutions, which are coded as chromosomes of bits, and find the optimal solution with our GA. We introduce rank-based selection with cumulative normal distribution fitness, double crossover, exponentially decreasing mutation probability and Lamarckian downhill search with a small number of offspring chromosomes into our GA, which shows a rapid convergence to the global minimum of the cost function. In a second step of optimization the phase distributions over the subholograms in the MCGH are determined with our iterative subhologram design algorithm. Our MCGH designs show large-size reconstructed images with high diffraction efficiency and low reconstruction error.

© 2003 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(050.1970) Diffraction and gratings : Diffractive optics
(060.4230) Fiber optics and optical communications : Multiplexing
(090.1760) Holography : Computer holography
(090.1970) Holography : Diffractive optics
(090.4220) Holography : Multiplex holography

Citation
Jean-Numa Gillet and Yunlong Sheng, "Multiplexed Computer-Generated Holograms with Polygonal-Aperture Layouts Optimized by Genetic Algorithm," Appl. Opt. 42, 4156-4165 (2003)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-42-20-4156


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