Phase dynamics of continuous topological upconversion in vortex beams

Optics Express

Volumn 16, Issue 15, 2008, Pages 11411-11422

  López Mariscal, Carlos ^a   Burnham, Daniel ^b,c   Rudd, Daniel ^b,c   McGloin, David ^b   Gutiérrez Vega, Julio C ^a  

^a SCHOOL OF ENGINEERING AND SCIENCES   (Mexico)

^b UNIVERSITY OF DUNDEE   (United Kingdom)

^c UNIVERSITY OF ST ANDREWS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

OPTICAL CONSTANTS; OPTICS;

HIGHER-ORDER; INTEGER ORDER; ORBITAL ANGULAR MOMENTUM; PHASE DYNAMICS; PHASE SINGULARITIES; UP-CONVERSION; VORTEX BEAMS;

VORTEX FLOW;

ARTICLE; COMPUTER SIMULATION; LIGHT; METHODOLOGY; NONLINEAR SYSTEM; RADIATION SCATTERING; REFRACTOMETRY; THEORETICAL MODEL;

COMPUTER SIMULATION; LIGHT; MODELS, THEORETICAL; NONLINEAR DYNAMICS; REFRACTOMETRY; SCATTERING, RADIATION;

EID: 47849106064     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.16.011411     Document Type: Article

References (29)

1. M. S. Soskin and M. V. Vasnetsov, "Singular Optics", Prog. Opt. 42, 219-276 (2001).
2. J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, "Optical, micro-manipulation using a Bessel light beam,"Opt. Commun. 197, 239-245 (2001).
3. D. G. Grier, "A revolution in optical manipulation, " Nature 424, 810-816 (2003).
4. J. Zagrodzinski, "Vortices in different branches of physics," Physica C 369, 45-54 (2002).
5. M. V. Berry, in Les Hauches Lecture Series Session XXXV, (North-Holland, Amsterdam, 1981), pp. 453-543.
6. M. V. Berry, "Optical vortices evolving from helicoidal integer and fractional phase steps," J. Opt. A 6, 259-269 (2004).
7. 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).
8. J. C. Gutiérrez-Vega, "Fractlonalization of optical beams: II. Elegant Laguerre-Gaussian modes," Opt. Express 15, 6300-6313 (2007).
9. J. B. Götte, K. O'Holleran, D. Preece, F. Flossmann, S. Franke-Arnold, S. M. Barnett, and M. J. Padgett, "Light beams with fractional orbital angular momentum and their vortex structure," Opt. Express 16, 993-1006 (2008).
10. J. C. Gutiérrez-Vega and C. López-Mariscal, "Nondiffracting vortex beams with continuous orbital angular momentum order dependence," J. Opt. A: Pure Appl. Opt. 10, 015009 (2008).
11. S. Orlov, K. Regelskis, V. Smilgevièius, and A. Stabinis, "Propagation of Bessel beams carrying optical vortices," Opt. Commun. 209, 155-165 (2002).
12. G. Molina-Terriza, J. P. Torres, and L. Tomer, "Twisted photons," Nature Phys. 3, 305-310 (2007).
13. J. B. Götte, S. Franke-Arnold, R. Zambrini, and S. M. Barnett, "Quantum formulation of fractional orbital angular momentum," J. Mod. Opt. 54, 1723-1738 (2007).
14. S. S. R. Oemrawsingh, X. Ma, D. Voigt, A. Aiello, E. R. Eliel, G. W. 't Hooft, and J. P. Woerdman, "Experimental demonstration of fractional, orbital angular momentum entanglement of Two Photons," Phys. Rev. Lett. 95, 240501 (2005).
15. H. Bechmann-Pasquinucci and A. Peres, "Quantum, cryptography with 3-state systems," Phys. Rev. Lett. 85, 3313-3316 (2000).
16. S. Barreiro, J. W. R. Tabosa, J. P. Torres, Y. Deyanova, and L. Tomer, "Four-wave mixing of light beams with engineered orbital angular momentum in cold cesium atoms," Opt. Lett. 29, 1515-1517 (2004).
17. X. F. Ren, G. P. Guo, Y. F. Huang, and G. C. Guo, "Plasmon-assisted transmission of highdimensional orbital, angular momentum entangled states," Europhys. Lett. 76, 753-759 (2006).
18. J. Leach, M. R. Dennis, J. Courtial, and M. J. Padgett, "Vortex knots in light," New J. Phys. 7, 55 (2005).
19. M. R. Dennis, "Rows of optical vortices from elliptically perturbing a high-order beam," Opt. Lett. 31, 1325-1327 (2006).
20. J. B. Hayes and S. Lange, "A heterodyne interferometer for testing laser diodes," Proc SPIE 0429, 22-26 (1983).
21. I. Freund, "Poincaré vortices," Opt. Lett. 26, 1996-1998 (2001).
22. V. G. Denisenko, A. Minovich, A. S. Desyatnikov, W. Krolikowski, M.. S. Soskin, and Y. S. Kivshar, "Mapping phases of singular scalar light fields," Opt Lett. 33, 89-91 (2008).
23. K. Creath, "Phase-measurement interferometry techniques, "Prog. Opt. 26, 349-393 (1988).
24. J. F. Nye, J. V. Hajnal, and J. H. Hannay, "Phase saddles and dislocations in two-dimensional waves such as the tides," Proc. R. Soc. A 417, 7-20 (1988).
25. I. Freund and N. Shvartsman, "Wave-field phase singularities: The sign principle," Phys. Rev. A 50, 5164-5174 (1994).
26. M. Abramowitz, and I. A. Stegun, Handbook of Mathematical Functions (Dover, 1964).
27. J. C. Gutiérrez-Vega and M. A. Bandres, "Helmholtz-Gauss waves," J. Opt. Soc. Am. A 22, 289-298 (2005).
28. C. López-Mariscal, M. A. Bandrés, and J. C. Gutiérrez-Vega, "Observation of the experimental, propagation properties of Helmholtz-Gauss beams," Opt. Eng. 45, 068001 (2006).
29. R. Jáuregui, and S. Hacyan, "Quantum-mechanical properties of Bessel beams," Phys. Rev. A 71, 033411 (2005).