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Applied Optics

Applied Optics


  • Vol. 39, Iss. 2 — Jan. 10, 2000
  • pp: 238–245

White-light optical implementation of the fractional Fourier transform with adjustable order control

Enrique Tajahuerce, Genaro Saavedra, Walter D. Furlan, Enrique E. Sicre, and Pedro Andrés  »View Author Affiliations

Applied Optics, Vol. 39, Issue 2, pp. 238-245 (2000)

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An optical implementation of the fractional Fourier transform (FRT) with broadband illumination is proposed by use of a single imaging element, namely, a blazed diffractive lens. The setup displays an achromatized version of the FRT of order P of any two-dimensional input function. This fractional order can be tuned continuously by shifting of the input along the optical axis. Our compact and flexible configuration is tested with a chirplike input signal, and the good experimental results obtained support the theory.

© 2000 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(100.0100) Image processing : Image processing

Original Manuscript: May 28, 1999
Revised Manuscript: October 21, 1999
Published: January 10, 2000

Enrique Tajahuerce, Genaro Saavedra, Walter D. Furlan, Enrique E. Sicre, and Pedro Andrés, "White-light optical implementation of the fractional Fourier transform with adjustable order control," Appl. Opt. 39, 238-245 (2000)

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