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
Lasers and Laser Optics
Original Manuscript: February 27, 2006
Revised Manuscript: April 19, 2006
Manuscript Accepted: April 21, 2006
Yangjian Cai and Sailing He, "Partially coherent flattened Gaussian beam and its paraxial propagation properties," J. Opt. Soc. Am. A 23, 2623-2628 (2006)