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Optics Letters

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  • 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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References

  1. M. Harris, C. A. Hill, P. Tapster, and J. M. Vaughan, Phys. Rev. A 49, 3119 (1994). [CrossRef]
  2. M. Harris, C. A. Hill, and J. M. Vaughan, Opt. Commun. 106, 161 (1994). [CrossRef]
  3. H. I. Sztul and R. R. Alfano, Opt. Lett. 31, 999 (2006). [CrossRef]
  4. G. C. G. Berkhout and M. W. Beijersbergen, Phys. Rev. Lett. 101, 100801 (2008). [CrossRef]
  5. J. M. Hickmann, E. J. S. Fonseca, W. C. Soares, and S. Chávez-Cerda, Phys. Rev. Lett. 105, 053904 (2010). [CrossRef]
  6. L. E. E. de Araujo and M. E. Anderson, Opt. Lett. 36, 787 (2011). [CrossRef]
  7. C.-S. Guo, L.-L. Lu, and H.-T. Wang, Opt. Lett. 34, 3686 (2009). [CrossRef]
  8. Y. Han and G. Zhao, Opt. Lett. 36, 2017 (2011). [CrossRef]
  9. G. Piquero, J. M. Movilla, P. M. Mejías, and R. Martínez-Herrero, Opt. Quantum Electron. 31, 223 (1999). [CrossRef]
  10. R. Martínez-Herrero, P. M. Mejías, and G. Piquero, Opt. Commun. 265, 6 (2006). [CrossRef]
  11. E. J. Galvez, S. Khadka, W. H. Schubert, and S. Nomoto, Appl. Opt. 51, 2925 (2012). [CrossRef]
  12. A. M. Beckley, T. G. Brown, and M. A. Alonso, Opt. Express 18, 10777 (2010). [CrossRef]
  13. W. Han, W. Cheng, and Q. Zhan, Opt. Lett. 36, 1605 (2011). [CrossRef]
  14. L.-G. Wang, Opt. Express 20, 20814 (2012). [CrossRef]
  15. F. W. J. Olver, D. W. Lozier, R. F. Boisvert, and C. W. Clark, eds., NIST Handbook of Mathematical Functions (Cambridge University, 2010), Eq. (13.2.7).

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