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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 22, Iss. 2 — Feb. 1, 2005
  • pp: 385–390

Optimal annular computer-generated holograms for the generation of optical vortices

Cheng-Shan Guo, Xuan Liu, Xiu-Yun Ren, and Hui-Tian Wang  »View Author Affiliations

JOSA A, Vol. 22, Issue 2, pp. 385-390 (2005)

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We analyze a method for efficiently generating optical vortices by use of annular computer-generated holograms and a spatial light modulator. We found that there exists an optimal annular width by which the reconstructed vortex ring in the focal plane has the steepest gradient and the worthless subbright rings can be largely suppressed. We fitted a general formula for determining the value of this optimal annular width and propose a method for designing a multiring structure of optical vortices and specialized interferometric vortex patterns. Finally, we discuss the situation of a Gaussian beam as illuminated light and find that there exists an optimal beam waist that results in the best energy efficiency.

© 2005 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(090.1760) Holography : Computer holography
(140.3300) Lasers and laser optics : Laser beam shaping
(140.7010) Lasers and laser optics : Laser trapping
(230.6120) Optical devices : Spatial light modulators

Cheng-Shan Guo, Xuan Liu, Xiu-Yun Ren, and Hui-Tian Wang, "Optimal annular computer-generated holograms for the generation of optical vortices," J. Opt. Soc. Am. A 22, 385-390 (2005)

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  1. H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, "Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity," Phys. Rev. Lett. 75, 826-829 (1995).
  2. N. B. Simpson, L. Allen, and M. J. Padgett, "Optical tweezers and optical spanners with Laguerre-Gaussian modes," J. Mod. Opt. 43, 2485-2491 (1996).
  3. K. T. Gahagan and G. A. Swartzlander, Jr., "Optical vortex trapping of particles," Opt. Lett. 21, 827-829 (1996).
  4. K. T. Gahagan and G. A. Swartzlander, "Simultaneous trapping of low-index and high-index microparticles observed with an optical-vortex trap," J. Opt. Soc. Am. B 16, 533-537 (1999).
  5. J. E. Curtis and D. G. Grier, "Structure of optical vortices," Phys. Rev. Lett. 90, 133901 (2003).
  6. J. E. Curtis and D. G. Grier, "Modulated optical vortices," Opt. Lett. 28, 872-874 (2003).
  7. M. J. Padgett and L. Allen, "The Poynting vector in Laguerre-Gaussian laser modes," Opt. Commun. 121, 36-40 (1995).
  8. M. E. J. Friese, J. Enger, H. Rubinsztein-Dunlop, and N. R. Heckenberg, "Optical angular-momentum transfer to trapped absorbing particles," Phys. Rev. A 54, 1593-1596 (1996).
  9. L. Allen, M. J. Padgett, and M. Babiker, "The orbital angular momentum of light," Prog. Opt. 39, 291-372 (1999).
  10. A. T. O'Neil, I. MacVicar, L. Allen, and M. J. Padgett, "Intrinsic and extrinsic nature of the orbital angular momentum of a light beam," Phys. Rev. Lett. 88, 053601 (2002).
  11. J. E. Curtis, B. A. Koss, and D. G. Grier, "Dynamic holographic optical tweezers," Opt. Commun. 207, 169-175 (2002).
  12. L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912-914 (2001).
  13. D. G. Grier, "A revolution in optical manipulation," Nature (London) 424, 810-816 (2003).
  14. K. Ladavac and D. G. Grier, "Microoptomechanical pumps assembled and driven by holographic optical vortex arrays," Opt. Express 12, 1144-1149 (2004); www.opticsexpress.org.
  15. A. Terray, J. Oakey, and D. W. M. Marr, "Microfluidic control using colloidal devices," Science 296, 1841-1844 (2002).
  16. G. A. Swartzlander, Jr. and C. T. Law, "Optical vortex solitons observed in Kerr nonlinear media," Phys. Rev. Lett. 69, 2503-2506 (1992).
  17. G. S. McDonald, K. S. Syed, and W. J. Firth, "Optical vortices in beam propagation through a self-defocusing medium," Opt. Commun. 94, 469-476 (1992).
  18. M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, "Helical-wave-front laser-beams produced with a spiral phase plate," Opt. Commun. 112, 321-327 (1994).
  19. M. W. Beijersbergen, L. Allen, H. E. L. O. van der Veen, and J. P. Woerdman, "Astigmatic laser mode converters and transfer of orbital angular momentum," Opt. Commun. 96, 123-132 (1993).
  20. R. Oron, S. Blit, N. Davidson, A. A. Friesem, Z. Bomzon, and E. Hasman, "The formation of laser beams with pure azimuthal or radial polarization," Appl. Phys. Lett. 77, 3322-3324 (2000).
  21. 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).
  22. J. Arlt, K. Dholakia, L. Allen, and M. J. Padgett, "The production of multiringed Laguerre-Gaussian modes by computer-generated holograms," J. Mod. Opt. 45, 1231-1237 (1998).
  23. C.-S. Guo, X. Liu, J.-L. He, and H.-T. Wang, "Optimal annular structure of optical vortices," Opt. Express 12, 4625-4634 (2004);
  24. M. Reicherter, T. Haist, E. U. Wagemann, and H. J. Tiziani, "Optical particle trapping with computer-generated holograms written on a liquid-crystal display," Opt. Lett. 24, 608-610 (1999).
  25. J. Liesener, M. Reicherter, T. Haist, and H. J. Tiziani, "Multi-functional optical tweezers using computer-generated holograms," Opt. Commun. 185, 77-82 (2000).

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