Light beams with fractional orbital angular momentum and their vortex structure

Optics Express

Volumn 16, Issue 2, 2008, Pages 993-1006

  Götte, Jörg B ^a   O'Holleran, Kevin ^a   Preece, Daryl ^a   Flossmann, Florian ^a   Franke Arnold, Sonja ^a   Barnett, Stephen M ^b   Padgett, Miles J ^a  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

^b UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ANGULAR MOMENTUM; DATA PROCESSING; GAUSSIAN BEAMS; QUANTUM THEORY;

FRACTIONAL ORBITAL ANGULAR MOMENTUM; LIGHT BEAMS; SPIRAL PHASE PLATE; VORTEX STRUCTURE;

WAVE PROPAGATION;

ARTICLE; COMPUTER SIMULATION; LIGHT; METHODOLOGY; QUANTUM THEORY; RADIATION DOSE; RADIATION SCATTERING; RADIOMETRY; THEORETICAL MODEL;

COMPUTER SIMULATION; LIGHT; MODELS, THEORETICAL; QUANTUM THEORY; RADIATION DOSAGE; RADIOMETRY; SCATTERING, RADIATION;

EID: 38549093086     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.16.000993     Document Type: Article

References (19)

1. M. V. Berry, "Much ado about nothing: optical distortion lines (phase singularities, zeros, and vortices)," in International Conference on Singular Optics, M. S. Soskin, ed., Proc. SHE 3487, 1-5 (1998). http://spie.org/x648.xml?product_id=317693.
2. M. V. Berry and M. R. Dennis, "Knotted and linked phase singularities in monochromatic waves," Proc. Royal Society of London, Series A 457(2013), 2251-2263 (2001). http://www.journals.royalsoc.ac.uk/ content/yv61qeufbq2phg91.
3. J. Leach, M. R. Dennis, and M. J. Padgett, "Laser beams: Knotted threads of darkness," Nature 432(165) (2004). http://www.nature.com/ nature/journal/v432/n7014/abs/432165a.html.
4. J. Leach, M. R. Dennis, J. Courtial, and M. Padgett, "Vortex knots in light," New J. Phys. 7, 55 (2005). http://www.iop.org/EJ/ abstract/1367-2630/7/1/055/.
5. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdinan, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian modes," Phys. Rev. A 45, 8185-8190 (1992). http://link.aps.org/abstract/PRA/v45/p8185.
6. L. Allen and M. J. Padgett, "The Poynting vector in Laguerre-Gaussian beams and the interpretation of their angular momentum density," Opt. Commun. 184, 67-71 (2000).
7. M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, "Helical-wavefrontnext term laser beams produced with a spiral phaseplate," Opt. Commun. 112, 321-327 (1994).
8. V. Y. Bazhenov, M. V. Vastnetsov, and M. S. Soskin, "Laser-beams with screw dislocations in their wave-fronts," JETP Lett. 52, 429-431 (1990).
9. M. V. Berry, "Optical vortices evolving from helicoidal integer and fractional phase steps," J. Opt. A 6, 259-269 (2004). http://www.iop.Org/EJ/abstract/1464-4258/6/2/018.
10. J. Leach, E. Yao, and M. J. Padgett, "Observation of the vortex structure of a non-integer vortex beam," New J. Phys. 6, 71 (2004). http://www.iop.Org/EJ/abstract/1367-2630/6/1/071/.
11. K. O'Holleran, M. R. Dennis, and M. J. Padgett, "Illustrations of optical vortices in three dimensions," Journal of European Optical Society - Rapid Publications 1, 06008 (2006). https://www.jeos.org/index.php/ jeos_rp/article/view/06008.
12. J. Götte, S. Franke-Arnold, R. Zambrini, and S. M. Barnett, "Quantum formulation of fractional orbital angular momentum," J. Mod. Opt. 54, 1723-1738 (2007). http://www.informaworld.com/smpp/ content~content=a779773614.
13. S. S. R. Oemrawsingh, A. Aiello, E. R. Eliel, G. Nienhaus, and J. P. Woerdman, "How to observe High-Dimensional. Two-Photon Entanglement with Only Two Detectors," Physical Review Letters 92, 217901 (2004). http://link.aps.org/abstract/PRL/v92/e217901.
14. G. F. Calvo, A. Picón, and A. Bramon, "Measuring two-photon orbital angular momentum entanglement," Phys. Rev. A 75, 012319 (2007). http://link.aps.org/abstract/PRA/v75/e012319.
15. A. Aiello, S. S. R. Oemrawsingh, E. R. Eliel, and J. P. Woerdman, "Nonlocality of high-dimensional, two-photon orbital angular momentum states," Phys. Rev. A. 72, 052114 (2005). http://link.aps.org/ abstract/PRA/v72/e052114.
16. S. M. Barnett and D. T Pegg, "Quantum theory of rotation angles," Phys. Rev. A 41, 3427-3435 (1990). http://link.aps.org/ abstract/PRA/v41/p3427.
17. J. Courtial, "Self-imaging beams and the Guoy [sic] effect," Opt. Commun. 151, 1-4 (1998).
18. R. Zambrini, L. C. Thomson, S. M. Barnett, and M. Padgett, "Momentum paradox in a vortex core," J. Modern Opt. 52(8), 1135-1144 (2005). http://www.informaworld.com/smpp/content~content=a713736931.
19. C. Alonzo, P. J. Rodrigo and J. Glückstad, "Helico-conical optical beams: a product of helical and conical phase fronts," Opt. Express. 13, 1749-1760 (2005). http://www.opticsexpress.org/abstract.cfm? URI=oe-13-5-1749.