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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 26 — Dec. 21, 2009
  • pp: 23374–23379

Determination of topological charges of polychromatic optical vortices

Vladimir Denisenko, Vladlen Shvedov, Anton S. Desyatnikov, Dragomir N. Neshev, Wieslaw Krolikowski, Alexander Volyar, Marat Soskin, and Yuri S. Kivshar  »View Author Affiliations

Optics Express, Vol. 17, Issue 26, pp. 23374-23379 (2009)

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We introduce a simple, single beam method for determination of the topological charge of polychromatic optical vortices. It is based on astigmatic transformation of singular optical beams, where the intensity pattern of a vortex beam acquires a form of dark stripes in the focal plane of a cylindrical lens. The number of the dark stripes is equal to the modulus of the vortex topological charge, while the stripe tilt indicates the charge sign. We demonstrate experimentally the effectiveness of this technique by revealing complex topological structure of polychromatic singular beams.

© 2009 Optical Society of America

OCIS Codes
(260.1180) Physical optics : Crystal optics
(260.6042) Physical optics : Singular optics

ToC Category:
Physical Optics

Original Manuscript: August 24, 2009
Revised Manuscript: November 19, 2009
Manuscript Accepted: December 4, 2009
Published: December 7, 2009

Vladimir Denisenko, Vladlen Shvedov, Anton S. Desyatnikov, Dragomir N. Neshev, Wieslaw Krolikowski, Alexander Volyar, Marat Soskin, and Yuri S. Kivshar, "Determination of topological charges of polychromatic optical vortices," Opt. Express 17, 23374-23379 (2009)

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  1. J. F. Nye and M. V. Berry, "Dislocations in wave trains," Proc. R. Soc. London A 336, 165-190 (1974). [CrossRef]
  2. M. S. Soskin and M. V. Vasnetsov, "Singular optics," Prog. Opt. 42, 219 (Ed. E. Wolf, Elsevier, 2001). [CrossRef]
  3. M. R. Dennis, K. O’Holleran, and M. J. Padgett, "Singular Optics: Optical Vortices and Polarization Singularities," Prog. Opt. 52, 293 (Ed. E. Wolf, Elsevier, 2009). [CrossRef]
  4. N. B. Baranova, B. Ya. Zel’dovich, A. V. Mamaev, N. F. Pilipetskii, and V. V. Shkukov, "Dislocations of the wavefront of a speckle-inhomogeneous field (theory and experiment)," JETP Lett. 33, 195-199 (1981).
  5. N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, "Generation of optical phase singularities by computer-generated holograms," Opt. Lett. 17, 221-223 (1992). [CrossRef] [PubMed]
  6. H. I. Sztul and R. R. Alfano, "Double-slit interference with Laguerre-Gaussian Beams," Opt. Lett. 31, 999 (2006). [CrossRef] [PubMed]
  7. G. Gbur and T. D. Visser, "Coherence vortices in partially coherent beams," Opt. Commun. 222, 117-125 (2003). [CrossRef]
  8. D. M. Palacios, I. D. Maleev, A. S. Marathay, and G. A. Swartzlander, Jr., "Spatial correlation singularity of a vortex field," Phys. Rev. Lett. 92, 143905 (2004). [CrossRef] [PubMed]
  9. J. Leach and M. J. Padgett, "Observation of chromatic effects near a white-light vortex," New J. Phys. 5, 1541-1547 (2003). [CrossRef]
  10. O. V. Angelsky, S. G. Hanson, A. P. Maksimyak, and P. P. Maksimyak, "On the feasibility for determining the amplitude zeroes in polychromatic fields," Opt. Express 13, 4396-4405 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-12-4396. [CrossRef] [PubMed]
  11. A. V. Volyar, Yu. A. Egorov, A. F. Rubass, and T. A. Fadeeva, "Fine structure of white optical vortices in crystals," Tech. Phys. Lett. 30, 701-704 (2004). [CrossRef]
  12. M. S. Soskin, P. V. Polyanskii, and O. O. Arkhelyuk, "Computer-synthesized hologram-based rainbow optical vortices," New J. Phys. 6, 196 (2004). [CrossRef]
  13. I. Freund, "Poincaré vortices," Opt. Lett. 26, 1996 (2001). [CrossRef]
  14. V. G. Denisenko, A. Minovich, A. S. Desyatnikov, W. Krolikowski, M. S. Soskin, and Yu. S. Kivshar, "Mapping phases of singular scalar light fields," Opt. Lett. 33, 89-91 (2008). [CrossRef]
  15. V. Shvedov, W. Krolikowski, A. Volyar, D. N. Neshev, A. S. Desyatnikov and Yu. S. Kivshar, "Focusing and correlation properties of white-light optical vortices," Opt. Express 13, 7393-7398 (2005), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-19-7393. [CrossRef] [PubMed]
  16. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular-momentum of light and the transformation of Laguerre-Gaussian laser modes," Phys. Rev. A 45, 8185-8189 (1992). [CrossRef] [PubMed]
  17. G. Molina-Terriza, J. Recolons, J. P. Torres, and L. Torner, "Observation of the Dynamical Inversion of the Topological Charge of an Optical Vortex," Phys. Rev. Lett. 87, 023902 (2001). [CrossRef]
  18. J. Serna, F. Encinas-Sanz, and G. Nemes¸, "Complete spatial characterization of a pulsed doughnut-type beam by use of spherical optics and a cylindrical lens," J. Opt. Soc. Am. A 18, 1726-1733 (2001). [CrossRef]
  19. V. H. Denisenko, M. S. Soskin, and M. V. Vasnetsov, "Transformations of Laguerre-Gaussian modes carrying optical vortex and their orbital angular momentum by cylindrical lens," Proc. SPIE 4607, 54-58 (2002). [CrossRef]
  20. A. Ya. Bekshaev, M. S. Soskin, and M. V. Vasnetsov, "Transformation of higher-order optical vortices upon focusing by an astigmatic lens," Opt. Commun. 241, 237-247 (2004). [CrossRef]
  21. R. K. Singh, P. Senthilkumaran, and K. Singh, "Influence of astigmatism and defocusing on the focusing of a singular beam," Opt. Commun. 270, 128-138 (2006). [CrossRef]
  22. A. Volyar, V. Shvedov, T. Fadeyeva, A. S. Desyatnikov, D. N. Neshev, W. Krolikowski, and Yu. S. Kivshar, "Generation of single-charge optical vortices with an uniaxial crystal," Opt. Express 14, 3724-3729 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-9-3724. [CrossRef]
  23. A. V. Volyar and T. A. Fadeeva, "Generation of singular beams in uniaxial crystals," Opt. Spectrosc. 94, 235-244 (2003). [CrossRef]
  24. D. N. Neshev, A. Dreischuh, V. Shvedov, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, "Observation of polychromatic vortex solitons," Opt. Lett. 33, 1851-1853 (2008). [CrossRef] [PubMed]

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