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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 30, Iss. 11 — Nov. 1, 2013
  • pp: 2395–2400

Vortex structure of elegant Laguerre–Gaussian beams of fractional order

Israel Martinez-Castellanos and Julio C. Gutiérrez-Vega  »View Author Affiliations


JOSA A, Vol. 30, Issue 11, pp. 2395-2400 (2013)
http://dx.doi.org/10.1364/JOSAA.30.002395


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Abstract

The transition of the vortex structure of fractional elegant Laguerre–Gaussian beams is discussed in detail as the angular mode index of the beam is continuously varied between integer values. Under this kind of variation, the vortices can be classified into five groups. Contrary to the behavior of the vortices of the nondiffracting Bessel beams of fractional order, the nodal lines of the vortices in the case of the fractional eLG beams exhibit intricate shapes.

© 2013 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(260.1960) Physical optics : Diffraction theory
(350.5500) Other areas of optics : Propagation

ToC Category:
Diffraction and Gratings

History
Original Manuscript: August 12, 2013
Revised Manuscript: October 5, 2013
Manuscript Accepted: October 8, 2013
Published: October 28, 2013

Citation
Israel Martinez-Castellanos and Julio C. Gutiérrez-Vega, "Vortex structure of elegant Laguerre–Gaussian beams of fractional order," J. Opt. Soc. Am. A 30, 2395-2400 (2013)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-11-2395


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References

  1. M. S. Soskin and M. V. Vasnetsov, “Singular optics,” Prog. Opt. 42, 219–276 (2001). [CrossRef]
  2. M. R. Dennis, K. O’Holleran, and M. J. Padgett, “Singular optics: optical vortices and polarization singularities,” Prog. Opt. 53, 293–363 (2009). [CrossRef]
  3. M. V. Berry, “Optical vortices evolving from helicoidal integer and fractional phase steps,” J. Opt. A 6, 259–268 (2004). [CrossRef]
  4. J. Leach, E. Yao, and M. J. Padgett, “Observation of the vortex structure of a non-integer vortex beam,” New J. Phys. 6, 71 (2004). [CrossRef]
  5. J. C. Gutiérrez-Vega, “Fractionalization of optical beams: II. Elegant Laguerre–Gaussian modes,” Opt. Express 15, 6300–6313 (2007). [CrossRef]
  6. J. B. Götte, K. O’Holleran, D. Preece, F. Flossmann, S. Franke-Arnold, S. M. Barnett, and M. J. Padgett, “Light beams with fractional orbital angular momentum and their vortex structure,” Opt. Express 16, 993–1006 (2008). [CrossRef]
  7. J. C. Gutiérrez-Vega and C. López-Mariscal, “Nondiffracting vortex beams with continuous orbital angular momentum order dependence,” J. Opt. A 10, 015009 (2008). [CrossRef]
  8. C. López-Mariscal, D. Burnham, D. Rudd, D. McGloin, and J. C. Gutiérrez-Vega, “Phase dynamics of continuous topological upconversion in vortex beams,” Opt. Express 16, 11411–11422 (2008). [CrossRef]
  9. S. Orlov, K. Regelskis, V. Smilgevičius, and A. Stabinis, “Propagation of Bessel beams carrying optical vortices,” Opt. Commun. 209, 155–165 (2002). [CrossRef]
  10. I. V. Basistiy, V. A. Pas’ko, V. V. Slyusar, M. S. Soskin, and M. V. Vasnetsov, “Synthesis and analysis of optical vortices with fractional topological charges,” J. Opt. A 6, S166 (2004). [CrossRef]
  11. T. Fadeyeva, C. Alexeyev, A. Rubass, and A. Volyar, “Vector erf-Gaussian beams: fractional optical vortices and asymmetric TE and TM modes,” Opt. Lett. 37, 1397–1399 (2012). [CrossRef]
  12. J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, “Vortex knots in light,” New J. Phys. 7, 55 (2005). [CrossRef]
  13. A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, “Optical vortex symmetry breakdown and decomposition of the orbital angular momentum of light beams,” J. Opt. Soc. Am. A 20, 1635–1643 (2003). [CrossRef]

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