Rotating light with light: Generation of helical modes of light by spin-to-orbital angular momentum conversion in inhomogeneous liquid crystals

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 6587, Issue , 2007, Pages

  Marrucci, Lorenzo ^a  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

Helical modes; Liquid crystal devices; Optical elements; Orbital angular momentum; Pancharatnam Berry phase; Polarization holography; Quantum computation; Wavefront shaping

Indexed keywords

ANGULAR MOMENTUM; BIREFRINGENCE; ELECTROOPTICAL DEVICES; HELICAL WAVEGUIDES; POLARIZATION; QUANTUM COMPUTERS; VISIBILITY; WAVEFRONTS;

BIREFRINGENT PLATES; HELICAL WAVES; PANCHARATNAM-BERRY PHASE; POLARIZATION HOLOGRAPHY;

LIQUID CRYSTALS;

EID: 36248944070     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.722305     Document Type: Conference Paper

References (43)

1. 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, pp. 8185-8189, 1992.
2. L. Allen, M. J. Padgett, and M. Babiker, "The orbital angular momentum of light," Prog. Opt. 39, pp. 291-372, 1999.
3. M. J. Padgett, J. Courtial, and L. Allen, "Light's orbital angular momentum," Phys. Today 57(5).
4. E. Santamato, "Photon orbital angular momentum: problems and perspectives," Fortschr. Phys. 52, pp. 1141-1153, 2004.
5. S. Sundbeck, I. Gruzberg, and D. G. Grier, "Structure and scaling of helical modes of light," Opt. Lett. 30, pp. 477-479, 2005.
6. J. F. Nye and M. V. Berry, "Dislocations in wave trains," Proc. Roy. Soc. Lond. A 336, pp. 165-190, 1974.
7. V. Y. Bazhenov, M. V. Vasnetsov, and M. S. Soskin, "Laser-beams with screw dislocations in their wave-fronts," JETP Lett. 52, pp. 429-431, 1990.
8. J. E. Curtis and D. G. Grier, "Structure of optical vortices," Phys. Rev. Lett. 90, p. 133901, 2003.
9. J. Humblet, "Sur le moment d'impulsion d'une onde lectromagntique," Physica 10, p. 585, 1943.
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, p. 053601, 2002.
11. H. He, N. R. Heckenberg, and H. Rubinsztein-Dunlop, "Optical particle trapping with higher-order doughnut beams produced using high efficiency computer generated holograms," J. Mod. Opt. 42, pp. 217-223, 1995.
12. K. T. Gahagan and G. A. Swartzlander, "Optical vortex trapping of particles," Opt. Lett. 21, pp. 827-829, 1996.
13. H. He, M. E. 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, pp. 826-829, 1995.
14. L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, pp. 912-914, 2001.
15. M. P. MacDonald, L. Paterson, K. Volke-Sepulveda, J. Arlt, W. Sibbett, and K. Dholakia, "Creation and manipulation of three-dimensional optically trapped structures," Science 296, pp. 1101-1103, 2002.
16. D. G. Grier, "A revolution in optical manipulation," Nature 424, pp. 810-816, 2003.
17. T. Kuga, Y. Torii, N. Shiokawa, and T. Hirano, "Novel optical trap of atoms with a doughnut beam," Phys. Rev. Lett. 78, pp. 4713-4716, 1997.
18. E. M. Wright, J. Arlt, and K. Dholakia, "Toroidal optical dipole traps for atomic bose-einstein condensates using laguerre-gaussian beams," Phys. Rev. A 63, p. 013608, 2000.
19. K. T. Kapale and J. P. Dowling, "Vortex phase qubit: generating arbitrary, counterrotating, coherent superpositions in bose-einstein condensates via optical angular momentum beams," Phys. Rev. Lett. 95, p. 173601, 2005.
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. Express 12, pp. 5448-5456, 2004.
21. A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, "Entanglement of the orbital angular momentum states of photons," Nature 412, pp. 313-316, 2001.
22. 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, p. 013601, 2002.
23. 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, p. 257901, 2002.
24. A. Vaziri, G. Weihs, and A. Zeilinger, "Experimental two-photon, three-dimensional entanglement for quantum communication," Phys. Rev. Lett. 89, p. 240401, 2002.
25. L. Torner, J. P. Torres, and S. Carrasco, "Digital spiral imaging," Opt. Express 13, pp. 873-881, 2005.
26. M. Harwit, "Photon orbital angular momentum in astrophysics," Astrophys. J. 597, pp. 1266-1270, 2003.
27. M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, "Helical-wavefront laser beams produced with a spiral phase plate," Opt. Commun. 112, pp. 321-327, 1994.
28. S. Pancharatnam, "Generalized theory of interference, and its applications," Proc. Indian Acad. Sci. Sect. A 44, pp. 247-262, 1956.
29. M. V. Berry, "The adiabatic phase and the pancharatnam phase for polarized-light," J. Mod. Opt. 34, pp. 1401-1407, 1987.
30. R. Bhandari, "Polarization of light and topological phases," Phys. Rep. 281, pp. 1-64, 1997.
31. Z. Bomzon, G. Biener, V. Kleiner, and E. Hasman, "Space-variant pancharatnam-berry phase optical elements with computer-generated subwavelengths gratings," Opt. Lett. 27, pp. 1141-1143, 2002.
32. L. Marrucci, C. Manzo, and D. Paparo, "Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media," Phys. Rev. Lett. 96, p. 163905, 2006.
33. L. Marrucci, C. Manzo, and D. Paparo, "Pancharatnam-berry phase optical elements for wave front shaping in the visible domain: Switchable helical mode generation," Appl. Phys. Lett. 88, p. 221102, 2006.
34. T. Todorov, L. Nikolova, and N. Tomova, "Polarization holography. 1: A new high-efficiency organic material with reversible photoinduced birefringence," Appl. Opt. 23, pp. 4309-4312, 1984.
35. E. Hasman, V. Kleiner, G. Biener, and A. Niv, "Polarization dependent focusing lens by use of quantized pancharatnam-berry phase diffractive optics," Appl. Phys. Lett. 82, pp. 328-330, 2003.
36. P. G. de Gennes, The Physics of Liquid Crystals, Oxford University Press, Oxford, 1974.
37. G. Abbate, P. Maddalena, L. Marrucci, L. Saetta, and E. Santamato, "Photodynamical effects induced by the angular momentum of light in liquid crystals," Phys. Scripta T39, pp. 389-393, 1991.
38. S. Varghese, G. P. Crawford, C. W. M. Bastiaansen, D. K. G. de Boer, and D. J. Broer, "Microrubbing technique to produce high pretilt multidomain liquid crystal alignment," Appl. Phys. Lett. 85, pp. 230-232, 2004.
39. M. Schadt, H. Seiberle, and A. Schuster, "Optical patterning of multidomain liquid-crystal displays with wide viewing angles," Nature 381, pp. 212-215, 1996.
40. Y.-H. Fan, H. Ren, and S.-T. Wu, "Switchable fresnel lens using polymer-stabilized liquid crystals," Opt. Express 11, pp. 3080-3086, 2003.
41. J. Chen, P. J. Bos, D. R. Bryant, D. L. Johnson, S. H. Jamal, and J. R. Kelly, "Simple 4-domain twisted nematic liquid-crystal display," Appl. Phys. Lett. 67, pp. 1990-1992, 1995.
42. T. D. Ebralidze, "Weigert hologram," Appl. Opt. 34, pp. 1357-1362, 1995.
43. M. Eich, J. H. Wendorff, B. Peck, and H. Ringsdorf, "Reversible digital and holographic optical storage in polymeric liquid crystals," Makromol. Chem. Rapid. Commun. 8, pp. 59-63, 1987.