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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 3 — Feb. 10, 2014
  • pp: 2925–2932

Autocorrelation properties of fully coherent beam with and without orbital angular momentum

Yuanjie Yang, Yuan Dong, Chengliang Zhao, Yi-dong Liu, and Yangjian Cai  »View Author Affiliations

Optics Express, Vol. 22, Issue 3, pp. 2925-2932 (2014)

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The spatial correlation singularity of a partially coherent vortex beam was demonstrated recently [Phys. Rev. Lett. 92, 143905 (2004)], and it was shown that the cross-correlation singularity disappears when the spatial coherence is high. In this paper, we demonstrate that the spatial autocorrelation function of a fully coherent beam in the far-field is equivalent to the Fourier transform of its intensity in the source plane. Our theoretical and experimental results show that, depending on both the radial and azimuthal mode indices (p, λ) of the incident light beam, the distribution of the far-field autocorrelation function displays a series of concentric, alternate bright and dark rings. This phenomenon may be used to determine the topological charge (the azimuthal index) of light beam with a nonzero radial index.

© 2014 Optical Society of America

OCIS Codes
(050.4865) Diffraction and gratings : Optical vortices
(260.6042) Physical optics : Singular optics

ToC Category:
Physical Optics

Original Manuscript: November 28, 2013
Revised Manuscript: January 24, 2014
Manuscript Accepted: January 27, 2014
Published: January 31, 2014

Yuanjie Yang, Yuan Dong, Chengliang Zhao, Yi-dong Liu, and Yangjian Cai, "Autocorrelation properties of fully coherent beam with and without orbital angular momentum," Opt. Express 22, 2925-2932 (2014)

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