## Statistical properties of a nonparaxial cylindrical vector partially coherent field in free space |

Optics Express, Vol. 20, Issue 14, pp. 15908-15927 (2012)

http://dx.doi.org/10.1364/OE.20.015908

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### Abstract

Analytical nonparaxial propagation formula for the cross-spectral density matrix of a cylindrical vector partially coherent beam in free space is derived based on the generalized Raleigh-Sommerfeld diffraction integrals. Statistical properties, such as average intensity, degree of polarization and degree of coherence, of a nonparaxial cylindrical vector partially coherent field are illustrated numerically, and compared with that of a paraxial cylindrical vector partially coherent beam. It is found that the statistical properties of a nonparaxial cylindrical vector partially coherent field are much different from that of a paraxial cylindrical vector partially coherent beam, and are closely determined by the initial beam width and correlation coefficients. Our results will be useful for modulating the properties of a nonparaxial cylindrical vector partially coherent field.

© 2012 OSA

**OCIS Codes**

(030.0030) Coherence and statistical optics : Coherence and statistical optics

(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: April 24, 2012

Revised Manuscript: June 12, 2012

Manuscript Accepted: June 14, 2012

Published: June 28, 2012

**Citation**

Yiming Dong, Fanlong Feng, Yahong Chen, Chengliang Zhao, and Yangjian Cai, "Statistical properties of a nonparaxial cylindrical vector partially coherent field in free space," Opt. Express **20**, 15908-15927 (2012)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-14-15908

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