Bastiaans, Martin J.Alieva, Tatiana Krasheninnikova2023-06-202023-06-202003-12-151. E. Wigner, Phys. Rev. 40, 749 (1932). 2. A. Papoulis, Systems and Transforms with Applications in Optics (McGraw-Hill, New York, 1968). 3. L. Mandel and E. Wolf, J. Opt. Soc. Am. 66, 529 (1976). 4. R. Simon and N. Mukunda, J. Opt. Soc. Am. A 10, 95 (1993). 5. R. Martínez-Herrero, P. M. Mejías, and C. Martínez, Opt. Lett. 20, 651 (1995). 6. J. Serna, F. Encinas-Sanz, and G. Nemes¸, J. Opt. Soc. Am. A 18, 1726 (2001). 7. M. J. Bastiaans and T. Alieva, J. Opt. Soc. Am. A 19, 1763 (2002).0146-959210.1364/OL.28.002443https://hdl.handle.net/20.500.14352/51289© 2003 Optical Society of AmericaThe 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.engjournal articlehttp://dx.doi.org/10.1364/OL.28.002443http://www.opticsinfobase.org/open access535OpticsÓptica (Física)2209.19 Óptica Física