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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Xi-Cheng Zhang
  • Vol. 39, Iss. 7 — Apr. 1, 2014
  • pp: 1929–1932

Orbital angular momentum of optical vortices from power measurements and the cross-correlation function

Benjamin Perez-Garcia, Dorilian Lopez-Mago, Hipolito Garcia-Gracia, Jorge A. Garza-Alanis, Raul I. Hernandez-Aranda, and Julio C. Gutiérrez-Vega  »View Author Affiliations


Optics Letters, Vol. 39, Issue 7, pp. 1929-1932 (2014)
http://dx.doi.org/10.1364/OL.39.001929


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Abstract

We show that the complex-amplitude cross-correlation function between two beams can be obtained by the global Stokes parameters. We apply this approach to determine the topological charge of a Laguerre–Gaussian (LG) beam by performing power measurements only. Additionally, we study the connection of the cross-correlation function with the degree of polarization for nonuniformly polarized beams, and we obtain closed-form expressions of the cross correlation for LG vector modes and the generalized full Poincaré beams.

© 2014 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(260.5430) Physical optics : Polarization
(080.4865) Geometric optics : Optical vortices
(260.6042) Physical optics : Singular optics

ToC Category:
Physical Optics

History
Original Manuscript: December 18, 2013
Revised Manuscript: February 11, 2014
Manuscript Accepted: February 12, 2014
Published: March 24, 2014

Citation
Benjamin Perez-Garcia, Dorilian Lopez-Mago, Hipolito Garcia-Gracia, Jorge A. Garza-Alanis, Raul I. Hernandez-Aranda, and Julio C. Gutiérrez-Vega, "Orbital angular momentum of optical vortices from power measurements and the cross-correlation function," Opt. Lett. 39, 1929-1932 (2014)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-39-7-1929

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