Publication: Moments of the Wigner distribution of rotationally symmetric partially coherent light
Loading...
Official URL
Full text at PDC
Publication Date
2003-12-15
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Optical Society of America
Citations
Exportar
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.
Description
© 2003 Optical Society of America
UCM subjects
Unesco subjects
Keywords
Citation
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).