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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 1 — Jan. 14, 2013
  • pp: 165–171

Efficient sorting of Bessel beams

Angela Dudley, Thandeka Mhlanga, Martin Lavery, Andre McDonald, Filippus S. Roux, Miles Padgett, and Andrew Forbes  »View Author Affiliations


Optics Express, Vol. 21, Issue 1, pp. 165-171 (2013)
http://dx.doi.org/10.1364/OE.21.000165


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Abstract

We demonstrate the efficient sorter of Bessel beams separating both the azimuthal and radial components. This is based upon the recently reported transformation of angular to transverse momentum states. We separately identify over forty azimuthal and radial components, with a radial spacing of 1588 m−1, and outline how the device could be used to identify the two spatial dimensions simultaneously.

© 2013 OSA

OCIS Codes
(090.1995) Holography : Digital holography
(070.3185) Fourier optics and signal processing : Invariant optical fields
(050.4865) Diffraction and gratings : Optical vortices
(070.6120) Fourier optics and signal processing : Spatial light modulators

ToC Category:
Holography

History
Original Manuscript: November 13, 2012
Revised Manuscript: December 13, 2012
Manuscript Accepted: December 14, 2012
Published: January 2, 2013

Citation
Angela Dudley, Thandeka Mhlanga, Martin Lavery, Andre McDonald, Filippus S. Roux, Miles Padgett, and Andrew Forbes, "Efficient sorting of Bessel beams," Opt. Express 21, 165-171 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-1-165


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References

  1. M. W. Beijersbergen, L. Allen, H. E. L. O. Van der Veen, and J. P. Woerdman, “Astigmatic laser mode converters and the transferof orbital angular momentum,” Opt. Commun.96(1-3), 123–132 (1993). [CrossRef]
  2. J. Arlt and K. Dholakia, “Generation of high-order Bessel beams by use of an axicon,” Opt. Commun.177(1-6), 297–301 (2000). [CrossRef]
  3. 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. A45(11), 8185–8189 (1992). [CrossRef] [PubMed]
  4. 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(5), 826–829 (1995). [CrossRef] [PubMed]
  5. A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, “Entanglement of the orbital angular momentum states of photons,” Nature412(6844), 313–316 (2001). [CrossRef] [PubMed]
  6. G. Molina-Terriza, J. P. Torres, and L. Torner, “Management of the angular momentum of light: preparation of photons in multidimensional vector states of angular momentum,” Phys. Rev. Lett.88(1), 013601 (2002). [CrossRef] [PubMed]
  7. A. Vaziri, G. Weihs, and A. Zeilinger, “Experimental two-photon, three-dimensional entanglement for quantum communication,” Phys. Rev. Lett.89(24), 240401 (2002). [CrossRef] [PubMed]
  8. J. T. Barreiro, T. C. Wei, and P. G. Kwiat, “Beating the channel capacity limit for linear photonic superdense coding,” Nat. Phys.4(4), 282–286 (2008). [CrossRef]
  9. J. Leach, B. Jack, J. Romero, A. K. Jha, A. M. Yao, S. Franke-Arnold, D. G. Ireland, R. W. Boyd, S. M. Barnett, and M. J. Padgett, “Quantum correlations in optical angle-orbital angular momentum variables,” Science329(5992), 662–665 (2010). [CrossRef] [PubMed]
  10. Z. Bouchal and R. Celechovský, “Mixed vortex states of light as information carriers,” New J. Phys.6, 131 (2004). [CrossRef]
  11. R. Celechovský and Z. Bouchal, “Optical implementation of the vortex information channel,” New J. Phys.9(9), 328 (2007). [CrossRef]
  12. J. Durnin, J. J. Miceli, and J. H. Eberly, “Diffraction-free beams,” Phys. Rev. Lett.58(15), 1499–1501 (1987). [CrossRef] [PubMed]
  13. J. Turunen, A. Vasara, and A. T. Friberg, “Holographic generation of diffraction-free beams,” Appl. Opt.27(19), 3959–3962 (1988). [CrossRef] [PubMed]
  14. A. Vasara, J. Turunen, and A. T. Friberg, “Realization of general nondiffracting beams with computer-generated holograms,” J. Opt. Soc. Am. A6(11), 1748–1754 (1989). [CrossRef] [PubMed]
  15. G. Indebetouw, “Nondiffracting optical fields: some remarks on their analysis and synthesis,” J. Opt. Soc. Am. A6(1), 150–152 (1989). [CrossRef]
  16. R. P. MacDonald, S. A. Boothroyd, T. Okamoto, J. Chrostowski, and B. A. Syrett, “Interboard optical data distribution by Bessel beam shadowing,” Opt. Commun.122(4-6), 169–177 (1996). [CrossRef]
  17. Z. Bouchal, J. Wagner, and M. Chlup, “Self-reconstruction of a distorted nondiffracting beam,” Opt. Commun.151(4-6), 207–211 (1998). [CrossRef]
  18. I. Litvin, M. McLaren, and A. Forbes, “A conical wave approach to calculating Bessel-Gauss beam reconstruction after complex obstacles,” Opt. Commun.282(6), 1078–1082 (2009). [CrossRef]
  19. M. McLaren, M. Agnew, J. Leach, F. S. Roux, M. J. Padgett, R. W. Boyd, and A. Forbes, “Entangled Bessel-Gaussian beams,” Opt. Express20(21), 23589–23597 (2012). [CrossRef] [PubMed]
  20. G. Gibson, J. Courtial, M. J. Padgett, M. Vasnetsov, V. Pas’ko, S. M. Barnett, and S. Franke-Arnold, “Free-space information transfer using light beams carrying orbital angular momentum,” Opt. Express12(22), 5448–5456 (2004). [CrossRef] [PubMed]
  21. S. N. Khonina, V. V. Kotlyar, R. V. Skidanov, V. A. Soifer, P. Laakkonen, and J. Turunen, “Gauss–Laguerre modes with different indices in prescribed diffraction orders of a diffractive phase element,” Opt. Commun.175(4-6), 301–308 (2000). [CrossRef]
  22. J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, “Measuring the orbital angular momentum of a single photon,” Phys. Rev. Lett.88(25), 257901 (2002). [CrossRef] [PubMed]
  23. M. Lavery, A. Dudley, A. Forbes, J. Courtial, and M. Padgett, “Robust interferometer for the routing of light beams carrying orbital angular momentum,” New J. Phys.13(9), 093014 (2011). [CrossRef]
  24. A. F. Abouraddy, T. M. Yarnall, and B. E. A. Saleh, “Angular and radial mode analyzer for optical beams,” Opt. Lett.36(23), 4683–4685 (2011). [CrossRef] [PubMed]
  25. I. A. Litvin, A. Dudley, F. S. Roux, and A. Forbes, “Azimuthal decomposition with digital holograms,” Opt. Express20(10), 10996–11004 (2012). [CrossRef] [PubMed]
  26. G. C. G. Berkhout, M. P. J. Lavery, J. Courtial, M. W. Beijersbergen, and M. J. Padgett, “Efficient sorting of orbital angular momentum states of light,” Phys. Rev. Lett.105(15), 153601 (2010). [CrossRef] [PubMed]
  27. M. P. J. Lavery, G. C. G. Berkhout, J. Courtial, and M. J. Padgett, “Measurement of the light orbital angular momentum spectrum using an optical geometric transformation,” J. Opt.13(6), 064006 (2011). [CrossRef]
  28. G. C. G. Berkhout, M. P. J. Lavery, M. J. Padgett, and M. W. Beijersbergen, “Measuring orbital angular momentum superpositions of light by mode transformation,” Opt. Lett.36(10), 1863–1865 (2011). [CrossRef] [PubMed]
  29. M. P. J. Lavery, D. J. Robertson, G. C. G. Berkhout, G. D. Love, M. J. Padgett, and J. Courtial, “Refractive elements for the measurement of the orbital angular momentum of a single photon,” Opt. Express20(3), 2110–2115 (2012). [CrossRef] [PubMed]
  30. C. López-Mariscal and K. Helmerson; “Shaped nondiffracting beams,” Opt. Lett.35(8), 1215–1217 (2010). [CrossRef] [PubMed]
  31. R. Rop, A. Dudley, C. Lopez-Mariscal, and A. Forbes, “Measuring the rotation rates of superpositions of higher-order Bessel beams,” J. Mod. Opt.59(3), 259–267 (2012). [CrossRef]
  32. M. P. J. Lavery, D. J. Robertson, A. Sponselli, J. Courtial, N. K. Steinhoff, G. A. Tyler, A. Wilner, and M. J. Padgett, “Efficient measurement of orbital angular momentum over 50 states,” New J. Phys.in press.

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