## Statistics properties of a cylindrical vector partially coherent beam |

Optics Express, Vol. 19, Issue 7, pp. 5979-5992 (2011)

http://dx.doi.org/10.1364/OE.19.005979

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### Abstract

Cylindrical vector partially coherent beam is introduced as a natural extension of cylindrical vector coherent beam based on the unified theory of coherence and polarization. Analytical propagation formula for the cross-spectral density matrix of a cylindrical vector partially coherent beam passing through paraxial ABCD optical system is derived based on the generalized Collins integral formula. As an application example, the statistics properties, such as the average intensity, spreading and the degree of polarization, of a cylindrical vector partially coherent beam propagating in free space are studied in detail. It is found that the statistics properties of a cylindrical vector partially coherent beam are much different from a cylindrical vector coherent beam. Our results may find applications in connection with laser beam shaping and optical trapping.

© 2011 OSA

**OCIS Codes**

(030.1670) Coherence and statistical optics : Coherent optical effects

(140.3300) Lasers and laser optics : Laser beam shaping

(260.5430) Physical optics : Polarization

(350.5500) Other areas of optics : Propagation

**ToC Category:**

Coherence and Statistical Optics

**History**

Original Manuscript: February 11, 2011

Revised Manuscript: March 9, 2011

Manuscript Accepted: March 10, 2011

Published: March 16, 2011

**Citation**

Yiming Dong, Yangjian Cai, Chengliang Zhao, and Min Yao, "Statistics properties of a cylindrical vector partially coherent beam," Opt. Express **19**, 5979-5992 (2011)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-7-5979

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