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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 12 — Jun. 8, 2009
  • pp: 9989–10000

Grid-free 3D multiple spot generation with an efficient single-plane FFT-based algorithm

David Engström, Anders Frank, Jan Backsten, Mattias Goksör, and Jörgen Bengtsson  »View Author Affiliations

Optics Express, Vol. 17, Issue 12, pp. 9989-10000 (2009)

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Algorithms based on the fast Fourier transform (FFT) for the design of spot-generating computer generated holograms (CGHs) typically only make use of a few sample positions in the propagated field. We have developed a new design method that much better utilizes the information-carrying capacity of the sampled propagated field. In this way design tasks which are difficult to accomplish with conventional FFT-based design methods, such as spot positioning at non-sample positions and/or spot positioning in 3D, are solved as easily as any standard design task using a conventional method. The new design method is based on a projection optimization, similar to that in the commonly used Gerchberg-Saxton algorithm, and the vastly improved design freedom comes at virtually no extra computational cost compared to the conventional design. Several different design tasks were demonstrated experimentally with a liquid crystal spatial light modulator, showing highly accurate creation of the desired field distributions.

© 2009 Optical Society of America

OCIS Codes
(090.1970) Holography : Diffractive optics
(090.2890) Holography : Holographic optical elements
(230.6120) Optical devices : Spatial light modulators
(090.1995) Holography : Digital holography
(350.4855) Other areas of optics : Optical tweezers or optical manipulation

ToC Category:

Original Manuscript: April 2, 2009
Revised Manuscript: May 18, 2009
Manuscript Accepted: May 22, 2009
Published: May 29, 2009

David Engström, Anders Frank, Jan Backsten, Mattias Goksör, and Jörgen Bengtsson, "Grid-free 3D multiple spot generation with an efficient single-plane FFT-based algorithm," Opt. Express 17, 9989-10000 (2009)

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