The Wigner distribution of rotationally symmetric partially coherent light is considered, and the constraints for its moments are derived. Although all odd-order moments vanish, these constraints lead to a drastic reduction in the number of parameters that we need to describe all even-order moments: whereas in general we have (<i>N</i> + 1)(<i>N</i> + 2)(<i>N</i> + 3)/6 different moments of order <i>N</i>, this number reduces to (1 + <i>N</i>/2)<sup>2</sup> in the case of rotational symmetry. A way to measure the moments as intensity moments in the output planes of (generally anamorphic) fractional Fourier-transform systems is presented.
© 2003 Optical Society of America
Martin J. Bastiaans and Tatiana Alieva, "Moments of the Wigner distribution of rotationally symmetric partially coherent light," Opt. Lett. 28, 2443-2445 (2003)