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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 26, Iss. 12 — Dec. 1, 2009
  • pp: 2571–2576

Fractional Fourier transform for an anomalous hollow beam

Kuilong Wang and Chengliang Zhao  »View Author Affiliations


JOSA A, Vol. 26, Issue 12, pp. 2571-2576 (2009)
http://dx.doi.org/10.1364/JOSAA.26.002571


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Abstract

Based on the definition of fractional Fourier transform (FRT), the propagation properties of an anomalous hollow beam (AHB) through the FRT have been investigated in detail. An analytical formula is derived for the FRT of an AHB. By using the derived formula, the properties of an AHB in the FRT plane are illustrated numerically. The results show that the properties of an AHB in the FRT plane are closely related to the parameters of the beam and the fractional order p. The derived formula provides an effective and convenient way for analyzing and calculating the FRT of an AHB.

© 2009 Optical Society of America

OCIS Codes
(140.3300) Lasers and laser optics : Laser beam shaping
(350.5500) Other areas of optics : Propagation
(070.2575) Fourier optics and signal processing : Fractional Fourier transforms

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: August 4, 2009
Manuscript Accepted: September 25, 2009
Published: November 16, 2009

Citation
Kuilong Wang and Chengliang Zhao, "Fractional Fourier transform for an anomalous hollow beam," J. Opt. Soc. Am. A 26, 2571-2576 (2009)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-12-2571

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