## Propagation of a partially coherent cosine-Gaussian beam through an *ABCD* optical system in turbulent atmosphere

Optics Express, Vol. 17, Issue 13, pp. 10529-10534 (2009)

http://dx.doi.org/10.1364/OE.17.010529

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### Abstract

The propagation of a partially coherent cosine-Gaussian beam through a paraxial *ABCD* optical system in turbulent atmosphere is investigated. Analytical expression for the average intensity in the output plane is derived. The presented formula only covers optical systems without inherent apertures, where *ABCD* are all real-valued. As a special case of the general formula, the analytical formula for the average intensity of a partially coherent cosh-Gaussian beam through an *ABCD* optical system in turbulent atmosphere is also presented, respectively. The properties of the average intensity of the partially coherent cosine-Gaussian beam are investigated with a numerical example, and the dependence of the average intensity distribution on the spatial correlation length of a partially coherent cosine-Gaussian beam is mainly discussed.

© 2009 OSA

**OCIS Codes**

(010.1300) Atmospheric and oceanic optics : Atmospheric propagation

(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence

(030.1640) Coherence and statistical optics : Coherence

(080.2730) Geometric optics : Matrix methods in paraxial optics

**ToC Category:**

Coherence and Statistical Optics

**History**

Original Manuscript: April 30, 2009

Revised Manuscript: May 20, 2009

Manuscript Accepted: June 3, 2009

Published: June 8, 2009

**Citation**

Guoquan Zhou and Xiuxiang Chu, "Propagation of a partially coherent cosine-Gaussian beam through an ABCD optical system in turbulent atmosphere," Opt. Express **17**, 10529-10534 (2009)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-13-10529

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