## Second-order moments of an electromagnetic Gaussian Schell-model beam in a uniaxial crystal |

JOSA A, Vol. 31, Issue 2, pp. 238-245 (2014)

http://dx.doi.org/10.1364/JOSAA.31.000238

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### Abstract

We derive the analytical expressions for the second-order moments of an electromagnetic Gaussian Schell-model (EGSM) beam propagating in a uniaxial crystal. With the help of the derived formulas, we study the evolution properties of the propagation factor, the effective radius of curvature and the Rayleigh range of an EGSM beam in a uniaxial crystal. It is found that the evolution properties of an EGSM beam in a uniaxial crystal are much different from its evolution properties in free space and are closely determined by the initial beam parameters and the parameters of the uniaxial crystal. The uniaxial crystal provides one way for modulating the properties of an EGSM beam.

© 2014 Optical Society of America

**OCIS Codes**

(030.1640) Coherence and statistical optics : Coherence

(260.1180) Physical optics : Crystal optics

(260.5430) Physical optics : Polarization

(350.5500) Other areas of optics : Propagation

**ToC Category:**

Coherence and Statistical Optics

**History**

Original Manuscript: October 11, 2013

Revised Manuscript: December 4, 2013

Manuscript Accepted: December 8, 2013

Published: January 9, 2014

**Citation**

Yan Shen, Lin Liu, Chengliang Zhao, Yangsheng Yuan, and Yangjian Cai, "Second-order moments of an electromagnetic Gaussian Schell-model beam in a uniaxial crystal," J. Opt. Soc. Am. A **31**, 238-245 (2014)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-31-2-238

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