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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 18, Iss. 10 — Oct. 1, 2001
  • pp: 2478–2485

Fractional Fourier transform for quasi-periodic Bloch functions

Chee Ching Chong, Apostolos Vourdas, and Cherif Bendjaballah  »View Author Affiliations

JOSA A, Vol. 18, Issue 10, pp. 2478-2485 (2001)

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The fractional Fourier transform (FRFT) for quasi-periodic Bloch functions is studied. An isomorphism between square-integrable functions on the real line and quasi-periodic Bloch functions is used to extend existing work on the fractional Fourier transform for the former functions to the latter. The properties of the FRFT for quasi-periodic Bloch functions are discussed, and various numerical examples are presented.

© 2001 Optical Society of America

OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(270.0270) Quantum optics : Quantum optics

Original Manuscript: November 27, 2000
Revised Manuscript: April 2, 2001
Manuscript Accepted: April 17, 2001
Published: October 1, 2001

Chee Ching Chong, Apostolos Vourdas, and Cherif Bendjaballah, "Fractional Fourier transform for quasi-periodic Bloch functions," J. Opt. Soc. Am. A 18, 2478-2485 (2001)

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