RT Journal Article T1 Moments of the Wigner distribution of rotationally symmetric partially coherent light A1 Bastiaans, Martin J. A1 Alieva, Tatiana Krasheninnikova AB 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. PB Optical Society of America SN 0146-9592 YR 2003 FD 2003-12-15 LK https://hdl.handle.net/20.500.14352/51289 UL https://hdl.handle.net/20.500.14352/51289 LA eng NO 1. 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). NO © 2003 Optical Society of America DS Docta Complutense RD 28 abr 2024