Moments of the Wigner distribution of rotationally symmetric partially coherent light

M.J. Bastiaans, T. Alieva

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8 Citations (Scopus)

Abstract

The Wigner distribution of rotationally symmetric partially coherent light is considered and the constraints for its moments are derived. While 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.
Original languageEnglish
Pages (from-to)2443-2445
Number of pages3
JournalOptics Letters
Volume28
Issue number24
DOIs
Publication statusPublished - 2003

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Moments of the Wigner distribution of rotationally symmetric partially coherent light. / Bastiaans, M.J.; Alieva, T.

In: Optics Letters, Vol. 28, No. 24, 2003, p. 2443-2445.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Alieva, T.

PY - 2003

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N2 - The Wigner distribution of rotationally symmetric partially coherent light is considered and the constraints for its moments are derived. While 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.

AB - The Wigner distribution of rotationally symmetric partially coherent light is considered and the constraints for its moments are derived. While 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.

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DO - 10.1364/OL.28.002443

M3 - Article

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