## Partially coherent flattened Gaussian beam and its paraxial propagation properties

JOSA A, Vol. 23, Issue 10, pp. 2623-2628 (2006)

http://dx.doi.org/10.1364/JOSAA.23.002623

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### Abstract

A simple model called partially coherent flattened Gaussian beam (FGB) is proposed to describe a partially coherent beam with a flat-topped spatial profile. An explicit and analytical formula is derived for the cross-spectral density of a partially coherent FGB propagating through a paraxial ABCD optical system. The propagation factor and propagation properties of a partially coherent FGB in free space are studied in detail and found to be closely related to its coherence and beam order.

© 2006 Optical Society of America

**OCIS Codes**

(030.1640) Coherence and statistical optics : Coherence

(140.3300) Lasers and laser optics : Laser beam shaping

(350.5500) Other areas of optics : Propagation

**ToC Category:**

Lasers and Laser Optics

**History**

Original Manuscript: February 27, 2006

Revised Manuscript: April 19, 2006

Manuscript Accepted: April 21, 2006

**Citation**

Yangjian Cai and Sailing He, "Partially coherent flattened Gaussian beam and its paraxial propagation properties," J. Opt. Soc. Am. A **23**, 2623-2628 (2006)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-10-2623

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