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/smppcontent~content=a779773614.
[Crossref]
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.
[Crossref]
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.
[Crossref]
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.
[Crossref]
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.
[Crossref]
[PubMed]
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.
[Crossref]
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/.
[Crossref]
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.
[Crossref]
[PubMed]
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.
[Crossref]
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/.
[Crossref]
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.
[Crossref]
[PubMed]
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/yv6lqeufbq2phg9l.
[Crossref]
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).
[Crossref]
J. Courtial, “Self-imaging beams and the Guoy [sic] effect,” Opt. Commun. 151, 1–4 (1998).
[Crossref]
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).
[Crossref]
L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “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.
[Crossref]
[PubMed]
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).
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.
[Crossref]
[PubMed]
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.
[Crossref]
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.
[Crossref]
[PubMed]
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).
[Crossref]
L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “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.
[Crossref]
[PubMed]
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.
[Crossref]
[PubMed]
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/smppcontent~content=a779773614.
[Crossref]
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.
[Crossref]
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.
[Crossref]
[PubMed]
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).
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).
[Crossref]
L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “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.
[Crossref]
[PubMed]
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.
[Crossref]
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/yv6lqeufbq2phg9l.
[Crossref]
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. SPIE3487, 1–5 (1998). http://spie. org/x648.xml?product_id=317693.
[Crossref]
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.
[Crossref]
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.
[Crossref]
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).
[Crossref]
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/.
[Crossref]
J. Courtial, “Self-imaging beams and the Guoy [sic] effect,” Opt. Commun. 151, 1–4 (1998).
[Crossref]
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.
[Crossref]
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/.
[Crossref]
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.
[Crossref]
[PubMed]
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/yv6lqeufbq2phg9l.
[Crossref]
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.
[Crossref]
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.
[Crossref]
[PubMed]
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/smppcontent~content=a779773614.
[Crossref]
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.
[Crossref]
[PubMed]
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/smppcontent~content=a779773614.
[Crossref]
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).
[Crossref]
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/.
[Crossref]
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.
[Crossref]
[PubMed]
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/.
[Crossref]
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.
[Crossref]
[PubMed]
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.
[Crossref]
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.
[Crossref]
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.
[Crossref]
[PubMed]
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/.
[Crossref]
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.
[Crossref]
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.
[Crossref]
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/.
[Crossref]
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.
[Crossref]
[PubMed]
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).
[Crossref]
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.
[Crossref]
[PubMed]
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.
[Crossref]
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.
[Crossref]
[PubMed]
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).
L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “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.
[Crossref]
[PubMed]
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.
[Crossref]
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).
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.
[Crossref]
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.
[Crossref]
[PubMed]
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).
[Crossref]
L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “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.
[Crossref]
[PubMed]
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/.
[Crossref]
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/smppcontent~content=a779773614.
[Crossref]
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.
[Crossref]
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/smppcontent~content=a779773614.
[Crossref]
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.
[Crossref]
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.
[Crossref]
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).
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.
[Crossref]
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.
[Crossref]
[PubMed]
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/.
[Crossref]
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/.
[Crossref]
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).
[Crossref]
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).
[Crossref]
J. Courtial, “Self-imaging beams and the Guoy [sic] effect,” Opt. Commun. 151, 1–4 (1998).
[Crossref]
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.
[Crossref]
[PubMed]
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.
[Crossref]
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.
[Crossref]
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.
[Crossref]
[PubMed]
L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, “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.
[Crossref]
[PubMed]
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.
[Crossref]
[PubMed]
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/yv6lqeufbq2phg9l.
[Crossref]
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. SPIE3487, 1–5 (1998). http://spie. org/x648.xml?product_id=317693.
[Crossref]