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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. 23, Iss. 9 — Sep. 1, 2006
  • pp: 2161–2165

Fractional Fourier transform for partially coherent off-axis Gaussian Schell-model beam

Chongwei Zheng  »View Author Affiliations


JOSA A, Vol. 23, Issue 9, pp. 2161-2165 (2006)
http://dx.doi.org/10.1364/JOSAA.23.002161


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Abstract

The fractional Fourier transform (FRT) is applied to a partially coherent off-axis Gaussian Schell-model (GSM) beam, and an analytical formula is derived for the FRT of a partially coherent off-axis GSM beam. The corresponding tensor ABCD law for performing the FRT of a partially coherent off-axis GSM beam is also obtained. As an application example, the FRT of a partially coherent linear laser array that is expanded as a sum of off-axis GSM beams is studied. The derived formulas are used to provide numerical examples. The formulas provide a convenient way to analyze and calculate the FRT of a partially coherent off-axis GSM beam.

© 2006 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.2590) Fourier optics and signal processing : ABCD transforms

ToC Category:
Fourier Optics and Optical Signal Processing

History
Original Manuscript: January 3, 2006
Revised Manuscript: March 9, 2006
Manuscript Accepted: March 10, 2006

Citation
Chongwei Zheng, "Fractional Fourier transform for partially coherent off-axis Gaussian Schell-model beam," J. Opt. Soc. Am. A 23, 2161-2165 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-9-2161

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