title: Moments of the Wigner distribution of rotationally symmetric partially coherent light.
abstract: 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 (N + 1)(N + 2)(N + 3)/6 different moments of order N, this number reduces to (1 + N/2)2 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.
authors.affiliation: Faculteit Elektrotechniek, Technische Universiteit Eindhoven, Postbus 513, 5600 MB Eindhoven, The Netherlands. m.j.bastiaans@tue.nl
authors.forename: Martin J
authors.initials: MJ
authors.lastname: Bastiaans
authors.forename: Tatiana
authors.initials: T
authors.lastname: Alieva