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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 26 — Dec. 24, 2007
  • pp: 17619–17624

Generation of Optical Vortex Beams by NonlinearWave Mixing

Alon Bahabad and Ady Arie  »View Author Affiliations

Optics Express, Vol. 15, Issue 26, pp. 17619-17624 (2007)

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It is shown that optical vortex beams can be generated from a non-vortex fundamental beam by an optical frequency conversion process taking place within a twisted nonlinear photonic crystal. This is done without any first-order (linear) refractive optics. Through such a proposed structure, all-optical switching of vortices with different helicities is made possible, as well as the simultaneous application of counter-rotating vortex beams of different frequencies.

© 2007 Optical Society of America

OCIS Codes
(190.0190) Nonlinear optics : Nonlinear optics
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.4223) Nonlinear optics : Nonlinear wave mixing

ToC Category:
Nonlinear Optics

Original Manuscript: October 11, 2007
Revised Manuscript: October 25, 2007
Manuscript Accepted: October 25, 2007
Published: December 12, 2007

Alon Bahabad and Ady Arie, "Generation of Optical Vortex Beams by NonlinearWave Mixing," Opt. Express 15, 17619-17624 (2007)

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  1. J. F. Nye and M. V. Berry, "Dislocations in Wave Trains," Proc. R. Soc. London Series A 336, 165-190 (1974). [CrossRef]
  2. 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]
  3. J. Leach, E. Yao, and M. J. Padgett, "Observation of the vortex structure of a non-integer vortex beam," New J. Phys. 6, 71-78 (2004). [CrossRef]
  4. J. E. Curtis, B. A. Koss, and D. G. Grier, "Dynamic holographic optical tweezers," Opt. Commun. 207, 169-175 (2002). [CrossRef]
  5. M. E. J. Friese, H. Rubinsztein-Dunlop, J. Gold, P. Hagberg, and D. Hanstorp, "Optically driven micromachine elements, " Appl. Phys. Lett. 78, 547-549 (2001). [CrossRef]
  6. A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, "Entanglement of the orbital angular momentum states of photons," Nature 412, 313-316 (2001). quant-ph/0104070. [CrossRef] [PubMed]
  7. J. H. Lee, G. Foo, E. G. Johnson, and G. A. Swartzlander, Jr., "Experimental Verification of an Optical Vortex Coronagraph," Phys. Rev. Lett. 97, 053,901 (2006). [CrossRef]
  8. I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, "Optics of light beams with screw dislocations," Opt. Commun. 103, 422-428 (1993). [CrossRef]
  9. S. S. R. Oemrawsingh, J. A.W. van Houwelingen, E. R. Eliel, J. P. Woerdman, E. J. K. Verstegen, J. G. Kloosterboer, and G. W. ’t Hooft, "Production and characterization of spiral phase plates for optical wavelengths," Appl. Opt. 43, 688-694 (2004). [CrossRef] [PubMed]
  10. T. J. Alexander, Y. S. Kivshar, A. V. Buryak, and R. A. Sammut, "Optical vortex solitons in parametric wave mixing," Phys. Rev. E 61, 2042-2049 (2000). [CrossRef]
  11. A. S. Desyatnikov, L. Torner, and Y. S. Kivshar, "Optical Vortices and Vortex Solitons," Prog. Opt. 47, 291-391 (2005). [CrossRef]
  12. M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, "Quasi-phase-matched second harmonic generation -Tuning and tolerances," IEEE J. Quantum Electron. 28, 2631-2654 (1992). [CrossRef]
  13. J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, "Interactions between Light Waves in a Nonlinear Dielectric," Phys. Rev. 127, 1918-1939 (1962). [CrossRef]
  14. R. Lifshitz, A. Arie, and A. Bahabad, "Photonic Quasicrystals for Nonlinear Optical Frequency Conversion," Phys. Rev. Lett. 95, 133,901 (2005). [CrossRef]
  15. A. Ber?zanskis, A. Matijo?sius, A. Piskarskas, V. Smilgevi?cius, and A. Stabinis, "Conversion of topological charge of optical vortices in a parametric frequency converter," Opt. Commun. 140, 273-276 (1997). [CrossRef]
  16. G. Swartzlander, "The Optical Vortex Lens," Opt. Photon. News 17, 39-43 (2006). [CrossRef]
  17. C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, "Intensely twisted elliptic optical fibres maintaining propagation of a single optical vortex," J. Opt.s A: Pure and Applied Optics 8, L5-L9 (2006). URL http://stacks.iop.org/1464-4258/8/L5. [CrossRef]
  18. G. Imeshev, M. Proctor, and M. M. Fejer, "Lateral patterning of nonlinear frequency conversion with transversely varying quasi-phase-matching gratings," Opt. Lett. 23, 673-675 (1998). [CrossRef]
  19. J. P. Torres, C. I. Osorio, and L. Torner, "Orbital angular momentum of entangled counter propagating photons," Opt. Lett. 29, 1939-1941 (2004). [CrossRef] [PubMed]
  20. G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, 2001).
  21. M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, "Helical-wavefront laser beams produced with a spiral phaseplate," Opt. Commun. 112, 321-327 (1994). [CrossRef]
  22. R. W. Boyd, Nonlinear Optics (Academic Press, 2003).
  23. Y. Nishida, H. Miyazawa, M. Asobe, O. Tadanaga, and H. Suzuki, "0-dB wavelength conversion using directbonded QPM-Zn : LiNbO3 ridge waveguide," IEEE Photonics Technol. Lett. 17, 1049-1051 (2005). [CrossRef]

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Fig. 1. Fig. 2. Fig. 3.

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