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
Coherence and Statistical Optics
Original Manuscript: October 11, 2013
Revised Manuscript: December 4, 2013
Manuscript Accepted: December 8, 2013
Published: January 9, 2014
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)