The second-order intensity moments and beam-propagation factor (<i>M</i><sup>2</sup> factor) of partially coherent beams have been generalized to include the case of hard-edged diffraction. A laser beam with amplitude modulation and phase fluctuation and a Gaussian Schell-model beam are taken as two typical examples of partially coherent beams. Analytical expressions for the generalized <i>M</i><sup>2</sup> factor are derived.
© 2002 Optical Society of America
Bin Zhang, Xiaoliang Chu, and Qiang Li, "Generalized beam-propagation factor of partially coherent beams propagating through hard-edged apertures," J. Opt. Soc. Am. A 19, 1370-1375 (2002)