## Transformation and spectrum properties of partially coherent beams in the fractional Fourier transform plane

JOSA A, Vol. 20, Issue 8, pp. 1528-1536 (2003)

http://dx.doi.org/10.1364/JOSAA.20.001528

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### Abstract

An analytical and concise formula is derived for the fractional Fourier transform (FRT) of partially coherent beams that is based on the tensorial propagation formula of the cross-spectral density of partially coherent twisted anisotropic Gaussian–Schell-model (GSM) beams. The corresponding tensor

© 2003 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

**History**

Original Manuscript: October 22, 2002

Revised Manuscript: March 4, 2003

Manuscript Accepted: March 4, 2003

Published: August 1, 2003

**Citation**

Yangjian Cai and Qiang Lin, "Transformation and spectrum properties of partially coherent beams in the fractional Fourier transform plane," J. Opt. Soc. Am. A **20**, 1528-1536 (2003)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-8-1528

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