## Fractional Fourier transform for quasi-periodic Bloch functions

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

http://dx.doi.org/10.1364/JOSAA.18.002478

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### Abstract

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

**Citation**

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)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-10-2478

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