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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Anthony J. Campillo
  • Vol. 32, Iss. 15 — Aug. 1, 2007
  • pp: 2088–2090

Random fractional Fourier transform

Zhengjun Liu and Shutian Liu  »View Author Affiliations


Optics Letters, Vol. 32, Issue 15, pp. 2088-2090 (2007)
http://dx.doi.org/10.1364/OL.32.002088


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Abstract

We propose a novel random fractional Fourier transform by randomizing the transform kernel function of the conventional fractional Fourier transform. The random fractional Fourier transform inherits the excellent mathematical properties from the fractional Fourier transform and can be easily implemented in optics. As a primary application the random fractional Fourier transform can be directly used in optical image encryption and decryption. The double phase encoding image encryption schemes can thus be modeled with cascaded random fractional Fourier transformers.

© 2007 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(070.2590) Fourier optics and signal processing : ABCD transforms

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: April 20, 2007
Revised Manuscript: June 1, 2007
Manuscript Accepted: June 2, 2007
Published: July 18, 2007

Citation
Zhengjun Liu and Shutian Liu, "Random fractional Fourier transform," Opt. Lett. 32, 2088-2090 (2007)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-32-15-2088

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