The measurement and generation of orbital angular momentum using an optical geometric transformation

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 8610, Issue , 2013, Pages

  Lavery, Martin P J ^a   Fraine, Andrew ^b   Roberston, David ^c   Sergienko, Alexander ^b   Courtial, Johannes ^a   Wilner, Alan E ^d   Padgett, Miles J ^a  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

^b Boston University   (United States)

^c DURHAM UNIVERSITY   (United Kingdom)

^d University of Southern California   (United States)

Author keywords

Communications; Optical Transformation; Orbital Angular Momentum

Indexed keywords

GEOMETRIC TRANSFORMATIONS; IMAGE TRANSFORMATIONS; MEASUREMENT BANDWIDTH; OPTICAL TRANSFORMATIONS; ORBITAL ANGULAR MOMENTUM; RAPID SWITCHING; SIMULTANEOUS MEASUREMENT; TRANSMITTED LIGHT;

ANGULAR MOMENTUM; COMMUNICATION; LINEAR TRANSFORMATIONS;

MATHEMATICAL TRANSFORMATIONS;

EID: 84878172269     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.2004534     Document Type: Conference Paper

References (28)

1. L. Allen, M. Beijersbergen, R. Spreeuw, and J. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes," Phys. Rev. A 45, 8185-8189 (1992).
2. A. M. Yao, M. J. Padgett, "Orbital angular momentum: origins, behavior and applications," Adv. Opt. Photon. 3, 161-204 (2011).
3. G. Molina-Terriza, J. P. Torres and L. Torner, "Twisted Photons," Phys. Rev. Lett. 88, 013601 (2001).
4. A. Vaziri, G. Weihs and A. Zeilinger, "Experimental Two-Photon, Three-Dimensional Entanglement for Quantum Communication," Phys. Rev. Lett. 89, 240401 (2002).
5. G. Gibson, J. Courtial, M. Padgett, M. Vasnetsov, V. Pas'ko, S. Barnett, and S. Franke-Arnold, "Free-space information transfer using light beams carrying orbital angular momentum," Opt. Express 12, 5448-5456 (2004).
6. 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," Science 329, 662 (2010).
7. F. Tamburiniand, E. Mari, A. Sponselli, B. Thid, A. Bianchini and F. Romanato,"Encoding many channels on the same frequency through radio vorticity: first experimental test," New J. Phys. 14, 033001 (2012).
8. J. Wang, J.-Y. Yang, I.M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, and A.E. Willner, "Terabit free-space data transmission employing orbital angular momentum multiplexing," Nat. Photon., 6, 7, 488496 (2012).
9. N. Bozinovic, S. Golowich, P. Kristensen, and S. Ramachandran, "Control of orbital angular momentum of light with optical fibers," Opt. Letters 37, 13 (2012).
10. Y. Yan, Y. Yue, H. Huang, J. Yang, M. R. Chitgarha, N. Ahmed, M. Tur, S. J. Dolinar, and A. E. Willner, "Efficient generation and multiplexing of optical orbital angular momentum modes in a ring fiber by using multiple coherent inputs," Opt. Lett. 37, 17 (2012).
11. M. P. J. Lavery, A. Dudley, A. Forbes, J. Courtial, and M. J. Padgett "Robust interferometer for the routing of light beams carrying orbital angular momentum," New J. Phys., 13 9, 093014 (2011).
12. B. Rodenburg, M P. J. Lavery, M Malik, M. N. OSullivan, M. Mirhosseini, D. J. Robertson, M. J. Padgett, and R. W. Boyd, "Influence of atmospheric turbulence on states of light carrying orbital angular momentum," Opt. Lett. 37, 17 (2012).
13. M. Bourennane, A. Karlsson, and G.Björk, "Quantum key distribution using multilevel encoding," Phys. Rev. A 64, 012306 (2001).
14. M. Malik, M. O'Sullivan, B. Rodenburg, M. Mirhosseini, J. Leach, M. P. J. Lavery, M. J. Padgett, and R. W. Boyd, "Influence of atmospheric turbulence on optical communications using orbital angular momentum for encoding," Opt. Express 20, 12, 13195-13200 (2012).
15. A. Vaziri, G. Weihs and A. Zeilinger, "Experimental Two-Photon, Three-Dimensional Entanglement for Quantum Communication," Phys. Rev. Lett. 89, 240401 (2002).
16. 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).
17. M. P. J. Lavery, D. Robertson, G. C. G. Berkhout, G. Love and M. J. Padgett "Refractive elements for the measurement of the orbital angular momentum of a single photon," Opt. Express, 20, 3 (2012).
18. O. Bryngdahl, "Geometrical transformations in optics," J. Opt. Soc. Am. 64, 8, 1092-1099 (1974).
19. W. Hossack, A. Darling, and A. Dahdour, "Coordinate transformations with multiple computer-generated optical-elements," J. Mod. Opt. 34, 1235-1250 (1987).
20. 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, 064006 (2011).
21. G. C. G. Berkhout, M. P. J. Lavery, M. W. Beijersbergen, and M. J. Padgett, "Measuring orbital angular momentum superpositions of light by mode transformation," Opt. Lett. 36, 1863-1865 (2011).
22. M. J. Padgett and L. Allen, "The Poynting vector in Laguerre-Gaussian laser modes," Opt. Commun. 121, 36 (1995).
23. M. P. J. Lavery, D. J. Robertson, A. Sponselli, J. Courtial, N. K. Steinhoff, G. A. Tyler, A. E. Wilner and M. J. Padgett, "Efficient measurement of an optical orbital-angular-momentum spectrum comprising more than 50 states," New J. Phys. 15 013024, (2013).
24. A. Dudley, T. Mhlanga, M. Lavery, A. McDonald, F. S. Roux, M. Padgett, and A. Forbes, " Efficient sorting of Bessel beams," Opt. Express, 21, 165171 (2013)
25. M. V. Berry and K. T. McDonald, "Exact and geometrical optics energy trajectories in twisted beams," J. Opt. A-Pure. Appl. Op., 10, 035005 (2008).
26. V. Bazhenov, M. Soskin, and M. Vasnetsov, "Screw dislocations in light wave-fronts," J. Mod. Opt. 39, 985-990 (1992).
27. N. Heckenberg, R. McDuff, C. Smith, and A. White, "Generation of optical phase singularities by computer-generated holograms," Opt. Lett., 17 221-223 (1992).
28. J. Leach, M. R. Dennis, J. Courtial and M. J. Padgett, "Vortex knots in light," New J. Phys. 7, 55 (2005).