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Optics Letters

Optics Letters


  • Vol. 28, Iss. 24 — Dec. 15, 2003
  • pp: 2443–2445

Moments of the Wigner distribution of rotationally symmetric partially coherent light

Martin J. Bastiaans and Tatiana Alieva  »View Author Affiliations

Optics Letters, Vol. 28, Issue 24, pp. 2443-2445 (2003)

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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.

© 2003 Optical Society of America

OCIS Codes
(030.5630) Coherence and statistical optics : Radiometry
(070.2580) Fourier optics and signal processing : Paraxial wave optics

Martin J. Bastiaans and Tatiana Alieva, "Moments of the Wigner distribution of rotationally symmetric partially coherent light," Opt. Lett. 28, 2443-2445 (2003)

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