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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 23 — Nov. 13, 2006
  • pp: 11103–11112

Optical implementation of iterative fractional Fourier transform algorithm

Joonku Hahn, Hwi Kim, and Byoungho Lee  »View Author Affiliations

Optics Express, Vol. 14, Issue 23, pp. 11103-11112 (2006)

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An optical implementation of iterative fractional Fourier transform algorithm is proposed and demonstrated. In the proposed implementation, the phase-shifting digital holography technique and the phase-type spatial light modulator are adopted for the measurement and the modulation of complex optical fields, respectively. With the devised iterative fractional Fourier transform system, we demonstrate two-dimensional intensity distribution synthesis in the fractional Fourier domain and three-dimensional intensity distribution synthesis simultaneously forming desired intensity distributions at several multi-focal planes.

© 2006 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(090.1760) Holography : Computer holography
(230.6120) Optical devices : Spatial light modulators

ToC Category:
Fourier Optics and Optical Signal Processing

Original Manuscript: September 5, 2006
Revised Manuscript: October 31, 2006
Manuscript Accepted: October 31, 2006
Published: November 13, 2006

Joonku Hahn, Hwi Kim, and Byoungho Lee, "Optical implementation of iterative fractional Fourier transform algorithm," Opt. Express 14, 11103-11112 (2006)

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