Abstract

We study experimentally the nonlinear dynamics of two-color optical vortex beams in the presence of second-harmonic generation combined with the effects of photo- and thermal refraction, as well as self- and induced-phase modulation. We use an iron-doped lithium niobate crystal as a nonlinear medium for the vortex propagation and observe experimentally, depending on the laser wavelength, a decay of a double-charge vortex, splitting and reshaping of background beam, pattern formation, and controllable nonlinear rotation of a vortex pair.

©2008 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Dynamics of a paired optical vortex generated by second-harmonic generation

Y. Toda, S. Honda, and R. Morita
Opt. Express 18(17) 17796-17804 (2010)

Observed rotational enhancement of nonlinear optical vortices

D. Rozas and G. A. Swartzlander
Opt. Lett. 25(2) 126-128 (2000)

Propagation dynamics of optical vortices

D. Rozas, C. T. Law, and G. A. Swartzlander
J. Opt. Soc. Am. B 14(11) 3054-3065 (1997)

More Recommended Articles

References

  • View by:
  • Article Order
  • |
  • Year
  • |
  • Author
  • |
  • Publication
  1. D. G. Grier, “A revolution in optical manipulation,” Nature 424, 810–816 (2003).
    [Crossref] [PubMed]
  2. G. Foo, D. M. Palacios, and G. A. Swartzlander, “Optical vortex coronagraph,” Opt. Lett. 30, 3308–3310 (2005).
    [Crossref]
  3. S. Furhapter, A. Jesacher, S. Bernet, and M. Ritsch Marte, “Spiral interferometry,” Opt. Lett. 30, 1953–1955 (2005).
    [Crossref] [PubMed]
  4. G. Molina Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nature Physics 3, 305–310 (2007).
    [Crossref]
  5. L. Allen, M. J. Padgett, and M. Babiker, “The orbital angular momentum of light,” Prog. Opt. 39, 291–372 (1999).
    [Crossref]
  6. M. S. Soskin and M. V. Vasnetsov, “Singular optics,” Prog. Opt. 42, 219–276 (2001).
    [Crossref]
  7. A. S. Desyatnikov, Yu. S. Kivshar, and L. Torner, “Optical vortices and vortex solitons,” Prog. Opt. 47, 291–391 (2005).
    [Crossref]
  8. W. J. Firth and D. V. Skryabin, “Optical solitons carrying orbital angular momentum,” Phys. Rev. Lett. 79, 2450–2453 (1997).
    [Crossref]
  9. D. V. Skryabin and W. J. Firth, “Dynamics of self-trapped beams with phase dislocation in saturable Kerr and quadratic nonlinear media,” Phys. Rev. E 58, 3916–3930 (1998).
    [Crossref]
  10. L. Torner and D. V. Petrov, “Azimuthal instabilities and self-breaking of beams into sets of solitons in bulk second-harmonic generation,” Electron. Lett. 33, 608–610 (1997).
    [Crossref]
  11. L. T. Vuong, T. D. Grow, A. Ishaaya, A. L. Gaeta, G. W. Hooft, ’t, E. R. Eliel, and G. Fibich, “Collapse of optical vortices,” Phys. Rev. Lett. 96, 133901–133904 (2006).
    [Crossref] [PubMed]
  12. V. Tikhonenko, J. Christou, and B. Luther-Davies, “Spiraling bright spatial solitons formed by the breakup of an optical vortex in a saturable self-focusing medium,” J. Opt. Soc. Am. B 12, 2046–2052 (1995).
    [Crossref]
  13. Yu. S. Kivshar and B. Luther-Davies, “Dark optical solitons: physics and applications,” Phys. Rep. 298, 81–197 (1998).
    [Crossref]
  14. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, 2003).
  15. D. Rozas, Z. S. Sacks, and G. A. Swartzlander, “Experimental observation of fluidlike motion of optical vortices,” Phys. Rev. Lett. 79, 3399–3402 (1997).
    [Crossref]
  16. E. B. Sonin, “Vortex oscillations and hydrodynamics of rotating superfluids,” Rev. Mod. Phys. 59, 87–155 (1987).
    [Crossref]
  17. D. Rozas, C. T. Law, and G. A. Swartzlander, “Propagation dynamics of optical vortices,” J. Opt. Soc. Am. B 14, 3054–3065 (1997).
    [Crossref]
  18. D. Neshev, A. Dreischuh, M. Assa, and S. Dinev, “Motion control of ensembles of ordered optical vortices generated on finite extent background,” Opt. Commun. 151, 413–421 (1998).
    [Crossref]
  19. G. Indebetouw, “Optical vortices and their propagation,” J. Mod. Opt. 40, 73–87 (1993).
    [Crossref]
  20. F. S. Roux, “Dynamical behavior of optical vortices,” J. Opt. Soc. Am. B 12, 1215–1221 (1995).
    [Crossref]
  21. Yu. S. Kivshar, J. Christou, V. Tikhonenko, B. Luther-Davies, and L. M. Pismen, “Dynamics of optical vortex solitons,” Opt. Commun. 152, 198–206 (1998).
    [Crossref]
  22. G. H. Kim, H. J. Lee, L. U. Kim, and H. Suk, “Propagation dynamics of optical vortices with anisotropic phase profiles,” J. Opt. Soc. Am. B 20, 351–359 (2003).
    [Crossref]
  23. J. Christou, V. Tikhonenko, Yu. S. Kivshar, and B. LutherDavies, “Vortex soliton motion and steering,” Opt. Lett. 21, 1649–1651 (1996).
    [Crossref] [PubMed]
  24. B. Luther-Davies, R. Powles, and V. Tikhonenko, “Nonlinear rotation of 3-dimensional dark spatial solitons in a gaussian laser-beam,” Opt. Lett. 19, 1816–1818 (1994).
    [Crossref] [PubMed]
  25. A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, “Conversion of topological charge of optical vortices in a parametric frequency converter,” Opt. Commun. 140, 273–276 (1997).
    [Crossref]
  26. I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, “Optics of light-beams with screw dislocations,” Opt. Commun. 103, 422–428 (1993).
    [Crossref]
  27. K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second-harmonic generation and the orbital angular momentum of light,” Phys. Rev. A 54, R3742–R3745 (1996).
    [Crossref] [PubMed]
  28. M. S. Soskin and M. V. Vasnetsov, “Nonlinear singular optics,” Pure Appl. Opt. 7, 301–311 (1998).
    [Crossref]
  29. A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, D. Neshev, and H. Walther, “Modulational instability of multiple-charged optical vortex solitons under saturation of the nonlinearity,” Phys. Rev. E 60, 7518–7524 (1999).
    [Crossref]
  30. S. M. Saltiel, A. A. Sukhorukov, and Yu. S. Kivshar, “Multistep parametric processes in nonlinear optics” Prog. Opt. 47, 1–73 (2005).
    [Crossref]
  31. K. H. Yang, J. R. Morris, P. L. Richards, and Y. R. Shen, “Phase-matched far-infrared generation by optical mixing of dye laser beams,” Appl. Phys. Lett. 23, 669–671 (1973).
    [Crossref]
  32. G. D. Miller, R. G. Batchko, W. M. Tulloch, D. R Weise, M. M. Fejer, and R. L. Byer, “42%-efficient single-pass cw second-harmonic generation in periodically poled lithium niobate,” Opt. Lett. 22, 1834–1836 (1997).
    [Crossref]
  33. K. Noguchi, O. Mitomi, and H. Miyazawa, “Millimeter-wave Ti : LiNbO3 optical modulators,” J. Lightwave Technol. 16, 615–619 (1998).
    [Crossref]
  34. G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
    [Crossref] [PubMed]
  35. D. Runde, S. Brunken, C. E. Rutter, and D. Kip, “Integrated optical electric field sensor based on a Bragg grating in lithium niobate,” Appl. Phys. B 86, 91–95 (2007).
    [Crossref]
  36. F. S. Chen, J. T. LaMacchia, and D. B. Fraser, “Holographic storage in lithium niobate,” Appl. Phys. Lett. 13, 223 (1968).
    [Crossref]
  37. X. An, D. Psaltis, and G. W. Burr, “Thermal fixing of 10,000 holograms in LiNbO3 : Fe,” Appl. Opt. 38, 386–393 (1999).
    [Crossref]
  38. D. N. Nikogosyan, Properties of Optical and Laser-Related Materials: A Handbook (Wiley, Chichester, UK, 1997).
  39. L. Arizmendi, “Photonic applications of lithium niobate crystals,” Phys. Status Solidi A 201, 253–283 (2004).
    [Crossref]
  40. F. Pettazzi, V. Coda, M. Chauvet, and E. Fazio, “Frequency-doubling in self-induced waveguides in lithium niobate,” Opt. Commun. 272, 238–241 (2007).
    [Crossref]
  41. R. G. Batchko, M. M. Fejer, R. L. Byer, D. Woll, R. Wallenstein, V. Y. Shur, and L. Erman, “Continuous-wave quasi-phase-matched generation of 60 mW at 465 nm by single-pass frequency doubling of a laser diode in backswitch-poled lithium niobate,” Opt. Lett. 24, 1293–1295 (1999).
    [Crossref]
  42. B. Crosignani, M. Segev, D. Engin, P. Diporto, A. Yariv, and G. Salamo, “Self-trapping of optical beams in photorefractive media,” J. Opt. Soc. Am. B 10, 446–453 (1993).
    [Crossref]
  43. G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
    [Crossref] [PubMed]
  44. M. Taya, M. C. Bashaw, M. M. Fejer, M. Segev, and G. C. Valley, “Observation of dark photovoltaic spatial solitons,” Phys. Rev. A 52, 3095–3100 (1995).
    [Crossref] [PubMed]
  45. D. N. Neshev et al., “Nonlinear spectral-spatial control and localization of supercontinuum radiation,” Phys. Rev. Lett. 99, 123901–123904 (2007).
    [Crossref] [PubMed]
  46. Z. Chen, M. Segev, D. W. Wilson, R. E. Muller, and P. D. Maker, “Self-trapping of an optical vortex by use of the bulk photovoltaic effect,” Phys. Rev. Lett. 78, 2948–2951 (1997).
    [Crossref]
  47. R. DeSalvo, A. A. Said, D. J. Hagan, E. W. Van Stryland, and M. SheikBahae, “Infrared to ultraviolet measurements of two-photon absorption and n(2) in wide bandgap solids,” IEEE J. Quantum Electron. 32, 1324–1333 (1996).
    [Crossref]
  48. D. H. Jundt, M. M. Fejer, and R. L. Byer, “Optical-properties of lithium-rich lithium-niobate fabricated by vapor transport equilibration,” IEEE J. Quantum Electron. 26, 135–138 (1990).
    [Crossref]
  49. S. Lan, M. F. Shih, G. Mizell, J. A. Giordmaine, Z. G. Chen, C. Anastassiou, J. Martin, and M. Segev, “Second-harmonic generation in waveguides induced by photorefractive spatial solitons,” Opt. Lett. 24, 1145–1147 (1999).
    [Crossref]
  50. A. D. Boardman, W. Ilecki, and Y. Liu, “Spatial solitons in a photorefractive medium sustaining second-harmonic generation,” J. Opt. Soc. Am. B 19, 832–838 (2002).
    [Crossref]
  51. J. F. Reintjes, Nonlinear Optical Parametric Processes in Liquids and Gasses (Academic Press, New York, 1984).
  52. S. Dinev and A. Dreischuh, “Sum-frequency generation in the xuv,” Opt. Quantum Electron. 23, 91–97 (1991).
    [Crossref]
  53. A. Dreischuh, U. Reiter Domiaty, D. Gruber, L. Windholz, and S. Dinev, “Nonlinear alignment between conical emissions generated in a four-wave parametric mixing process,” Appl. Phys. B 66, 175–180 (1998).
    [Crossref]
  54. M. F. Shih, Z. G. Chen, M. Mitchell, M. Segev, H. Lee, R. S. Feigelson, and J. P. Wilde, “Waveguides induced by photorefractive screening solitons,” J. Opt. Soc. Am. B 14, 3091–3101 (1997).
    [Crossref]
  55. S. Lan, C. Anastassiou, M. Segev, M. Shih, J. A. Giordmaine, and G. Mizell, “Tuning of second-harmonic generation in waveguides induced by photorefractive spatial solitons,” Appl. Phys. Lett. 77, 2101–2103 (2000).
    [Crossref]
  56. S. Orlov, A. Yariv, and M. Segev, “Nonlinear self-phase matching of optical second harmonic generation in lithium niobate,” Appl. Phys. Lett. 68, 1610–1612 (1996).
    [Crossref]
  57. C. Lou, J. Xu, H. Qiao, X. Zhang, Y. Chen, and Z. Chen, “Enhanced second-harmonic generation by means of high-power confinement in a photovoltaic soliton-induced waveguide,” Opt. Lett. 29, 953–955 (2004).
    [Crossref] [PubMed]
  58. A. E. Siegman, Lasers (University Science Books, Sausalito, Calif., 1986), p. 1283.
  59. K. Bezuhanov, A. Dreischuh, G. G. Paulus, M. G. Schatzel, and H. Walther, “Vortices in femtosecond laser fields,” Opt. Lett. 29, 1942–1944 (2004).
    [Crossref] [PubMed]
  60. K. Bezuhanov, A. Dreischuh, G. G. Paulus, M. G. Schatzel, H. Walther, D. Neshev, W. Krolikowski, and Y. Kivshar, “Spatial phase dislocations in femtosecond laser pulses,” J. Opt. Soc. Am. B 23, 26–35 (2006).
    [Crossref]
  61. S. Szatmari, G. Kuhnle, and P. Simon, “Pulse-compression and traveling-wave excitation scheme using a single dispersive element,” Appl. Opt. 29, 5372–5379 (1990).
    [Crossref] [PubMed]
  62. F. Grasbon, A. Dreischuh, G. G. Paulus, F. Zacher, and H. Walther, “Femtosecond interferometric autocorrelations in the presence of pulse front distortions,” Proc. SPIE 3571, 164–168 (1999).
    [Crossref]
  63. G. A. Swartzlander and J. Schmit, “Temporal correlation vortices and topological dispersion,” Phys. Rev. Lett. 93, 093901–093904 (2004).
    [Crossref] [PubMed]
  64. SNLO nonlinear optics code available from A. V. Smith, Sandia National Laboratories, Albuquerque, NM87185-1423.
  65. P. P. Ho, D. Ji, Q. Z. Wang, and R. R. Alfano, “Temporal behavior of cross-phase-modulated second-harmonic generation of ultrashort laser pulses in nonlinear-optical media,” J. Opt. Soc. Am. B 7, 276–284 (1990)
    [Crossref]
  66. M. Horowitz, R. Daisy, O. Werner, and B. Fischer, “Large thermal nonlinearities and spatial self-phase modulation in SrxBa1-xNb2O6 and BaTiO3 crystals,” Opt. Lett. 17, 475–477 (1992).
    [Crossref] [PubMed]
  67. V. Z. Kolev, M. J. Lederer, B. Luther-Davies, and A. V. Rode, “Passive mode locking of a Nd:YVO4 laser with an extra-long optical resonator,” Opt. Lett. 28, 1275–1277 (2003).
    [Crossref] [PubMed]
  68. R. R. Alfano, P. L. Baldeck, P. P. Ho, and G. P. Agrawal, “Cross-phase modulation and induced focusing due to optical nonlinearities in optical fibers and bulk materials,” J. Opt. Soc. Am. B 6, 824–829 (1989).
    [Crossref]
  69. I. W. Hsieh, X. G. Chen, J. I. Dadap, N. C. Panoiu, R. M. Osgood, S. J. Mcnab, and Y. A. Vlasov, “Cross-phase modulation-induced spectral and temporal effects on co-propagating femtosecond pulses in silicon photonic wires,” Opt. Express 15, 1135–1146 (2007), http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-3-1135.
    [Crossref] [PubMed]
  70. F. M. Mitschke and L. F. Mollenauer, “Discovery of the soliton self-frequency shift,” Opt. Lett. 11, 659–661 (1986).
    [Crossref] [PubMed]
  71. J. P. Gordon, “Theory of the soliton self-frequency shift,” Opt. Lett. 11, 662–664 (1986).
    [Crossref] [PubMed]

2007 (5)

G. Molina Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nature Physics 3, 305–310 (2007).
[Crossref]

D. Runde, S. Brunken, C. E. Rutter, and D. Kip, “Integrated optical electric field sensor based on a Bragg grating in lithium niobate,” Appl. Phys. B 86, 91–95 (2007).
[Crossref]

D. N. Neshev et al., “Nonlinear spectral-spatial control and localization of supercontinuum radiation,” Phys. Rev. Lett. 99, 123901–123904 (2007).
[Crossref] [PubMed]

F. Pettazzi, V. Coda, M. Chauvet, and E. Fazio, “Frequency-doubling in self-induced waveguides in lithium niobate,” Opt. Commun. 272, 238–241 (2007).
[Crossref]

I. W. Hsieh, X. G. Chen, J. I. Dadap, N. C. Panoiu, R. M. Osgood, S. J. Mcnab, and Y. A. Vlasov, “Cross-phase modulation-induced spectral and temporal effects on co-propagating femtosecond pulses in silicon photonic wires,” Opt. Express 15, 1135–1146 (2007), http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-3-1135.
[Crossref] [PubMed]

2006 (2)

K. Bezuhanov, A. Dreischuh, G. G. Paulus, M. G. Schatzel, H. Walther, D. Neshev, W. Krolikowski, and Y. Kivshar, “Spatial phase dislocations in femtosecond laser pulses,” J. Opt. Soc. Am. B 23, 26–35 (2006).
[Crossref]

L. T. Vuong, T. D. Grow, A. Ishaaya, A. L. Gaeta, G. W. Hooft, ’t, E. R. Eliel, and G. Fibich, “Collapse of optical vortices,” Phys. Rev. Lett. 96, 133901–133904 (2006).
[Crossref] [PubMed]

2005 (4)

A. S. Desyatnikov, Yu. S. Kivshar, and L. Torner, “Optical vortices and vortex solitons,” Prog. Opt. 47, 291–391 (2005).
[Crossref]

S. M. Saltiel, A. A. Sukhorukov, and Yu. S. Kivshar, “Multistep parametric processes in nonlinear optics” Prog. Opt. 47, 1–73 (2005).
[Crossref]

S. Furhapter, A. Jesacher, S. Bernet, and M. Ritsch Marte, “Spiral interferometry,” Opt. Lett. 30, 1953–1955 (2005).
[Crossref] [PubMed]

G. Foo, D. M. Palacios, and G. A. Swartzlander, “Optical vortex coronagraph,” Opt. Lett. 30, 3308–3310 (2005).
[Crossref]

2004 (4)

2003 (3)

2002 (1)

2001 (1)

M. S. Soskin and M. V. Vasnetsov, “Singular optics,” Prog. Opt. 42, 219–276 (2001).
[Crossref]

2000 (1)

S. Lan, C. Anastassiou, M. Segev, M. Shih, J. A. Giordmaine, and G. Mizell, “Tuning of second-harmonic generation in waveguides induced by photorefractive spatial solitons,” Appl. Phys. Lett. 77, 2101–2103 (2000).
[Crossref]

1999 (6)

A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, D. Neshev, and H. Walther, “Modulational instability of multiple-charged optical vortex solitons under saturation of the nonlinearity,” Phys. Rev. E 60, 7518–7524 (1999).
[Crossref]

L. Allen, M. J. Padgett, and M. Babiker, “The orbital angular momentum of light,” Prog. Opt. 39, 291–372 (1999).
[Crossref]

F. Grasbon, A. Dreischuh, G. G. Paulus, F. Zacher, and H. Walther, “Femtosecond interferometric autocorrelations in the presence of pulse front distortions,” Proc. SPIE 3571, 164–168 (1999).
[Crossref]

S. Lan, M. F. Shih, G. Mizell, J. A. Giordmaine, Z. G. Chen, C. Anastassiou, J. Martin, and M. Segev, “Second-harmonic generation in waveguides induced by photorefractive spatial solitons,” Opt. Lett. 24, 1145–1147 (1999).
[Crossref]

R. G. Batchko, M. M. Fejer, R. L. Byer, D. Woll, R. Wallenstein, V. Y. Shur, and L. Erman, “Continuous-wave quasi-phase-matched generation of 60 mW at 465 nm by single-pass frequency doubling of a laser diode in backswitch-poled lithium niobate,” Opt. Lett. 24, 1293–1295 (1999).
[Crossref]

X. An, D. Psaltis, and G. W. Burr, “Thermal fixing of 10,000 holograms in LiNbO3 : Fe,” Appl. Opt. 38, 386–393 (1999).
[Crossref]

1998 (7)

A. Dreischuh, U. Reiter Domiaty, D. Gruber, L. Windholz, and S. Dinev, “Nonlinear alignment between conical emissions generated in a four-wave parametric mixing process,” Appl. Phys. B 66, 175–180 (1998).
[Crossref]

K. Noguchi, O. Mitomi, and H. Miyazawa, “Millimeter-wave Ti : LiNbO3 optical modulators,” J. Lightwave Technol. 16, 615–619 (1998).
[Crossref]

Yu. S. Kivshar and B. Luther-Davies, “Dark optical solitons: physics and applications,” Phys. Rep. 298, 81–197 (1998).
[Crossref]

D. Neshev, A. Dreischuh, M. Assa, and S. Dinev, “Motion control of ensembles of ordered optical vortices generated on finite extent background,” Opt. Commun. 151, 413–421 (1998).
[Crossref]

D. V. Skryabin and W. J. Firth, “Dynamics of self-trapped beams with phase dislocation in saturable Kerr and quadratic nonlinear media,” Phys. Rev. E 58, 3916–3930 (1998).
[Crossref]

M. S. Soskin and M. V. Vasnetsov, “Nonlinear singular optics,” Pure Appl. Opt. 7, 301–311 (1998).
[Crossref]

Yu. S. Kivshar, J. Christou, V. Tikhonenko, B. Luther-Davies, and L. M. Pismen, “Dynamics of optical vortex solitons,” Opt. Commun. 152, 198–206 (1998).
[Crossref]

1997 (8)

Z. Chen, M. Segev, D. W. Wilson, R. E. Muller, and P. D. Maker, “Self-trapping of an optical vortex by use of the bulk photovoltaic effect,” Phys. Rev. Lett. 78, 2948–2951 (1997).
[Crossref]

L. Torner and D. V. Petrov, “Azimuthal instabilities and self-breaking of beams into sets of solitons in bulk second-harmonic generation,” Electron. Lett. 33, 608–610 (1997).
[Crossref]

A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, “Conversion of topological charge of optical vortices in a parametric frequency converter,” Opt. Commun. 140, 273–276 (1997).
[Crossref]

D. Rozas, Z. S. Sacks, and G. A. Swartzlander, “Experimental observation of fluidlike motion of optical vortices,” Phys. Rev. Lett. 79, 3399–3402 (1997).
[Crossref]

W. J. Firth and D. V. Skryabin, “Optical solitons carrying orbital angular momentum,” Phys. Rev. Lett. 79, 2450–2453 (1997).
[Crossref]

D. Rozas, C. T. Law, and G. A. Swartzlander, “Propagation dynamics of optical vortices,” J. Opt. Soc. Am. B 14, 3054–3065 (1997).
[Crossref]

M. F. Shih, Z. G. Chen, M. Mitchell, M. Segev, H. Lee, R. S. Feigelson, and J. P. Wilde, “Waveguides induced by photorefractive screening solitons,” J. Opt. Soc. Am. B 14, 3091–3101 (1997).
[Crossref]

G. D. Miller, R. G. Batchko, W. M. Tulloch, D. R Weise, M. M. Fejer, and R. L. Byer, “42%-efficient single-pass cw second-harmonic generation in periodically poled lithium niobate,” Opt. Lett. 22, 1834–1836 (1997).
[Crossref]

1996 (4)

J. Christou, V. Tikhonenko, Yu. S. Kivshar, and B. LutherDavies, “Vortex soliton motion and steering,” Opt. Lett. 21, 1649–1651 (1996).
[Crossref] [PubMed]

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second-harmonic generation and the orbital angular momentum of light,” Phys. Rev. A 54, R3742–R3745 (1996).
[Crossref] [PubMed]

R. DeSalvo, A. A. Said, D. J. Hagan, E. W. Van Stryland, and M. SheikBahae, “Infrared to ultraviolet measurements of two-photon absorption and n(2) in wide bandgap solids,” IEEE J. Quantum Electron. 32, 1324–1333 (1996).
[Crossref]

S. Orlov, A. Yariv, and M. Segev, “Nonlinear self-phase matching of optical second harmonic generation in lithium niobate,” Appl. Phys. Lett. 68, 1610–1612 (1996).
[Crossref]

1995 (3)

1994 (3)

B. Luther-Davies, R. Powles, and V. Tikhonenko, “Nonlinear rotation of 3-dimensional dark spatial solitons in a gaussian laser-beam,” Opt. Lett. 19, 1816–1818 (1994).
[Crossref] [PubMed]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

1993 (3)

I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, “Optics of light-beams with screw dislocations,” Opt. Commun. 103, 422–428 (1993).
[Crossref]

G. Indebetouw, “Optical vortices and their propagation,” J. Mod. Opt. 40, 73–87 (1993).
[Crossref]

B. Crosignani, M. Segev, D. Engin, P. Diporto, A. Yariv, and G. Salamo, “Self-trapping of optical beams in photorefractive media,” J. Opt. Soc. Am. B 10, 446–453 (1993).
[Crossref]

1992 (1)

1991 (1)

S. Dinev and A. Dreischuh, “Sum-frequency generation in the xuv,” Opt. Quantum Electron. 23, 91–97 (1991).
[Crossref]

1990 (3)

1989 (1)

1987 (1)

E. B. Sonin, “Vortex oscillations and hydrodynamics of rotating superfluids,” Rev. Mod. Phys. 59, 87–155 (1987).
[Crossref]

1986 (2)

1973 (1)

K. H. Yang, J. R. Morris, P. L. Richards, and Y. R. Shen, “Phase-matched far-infrared generation by optical mixing of dye laser beams,” Appl. Phys. Lett. 23, 669–671 (1973).
[Crossref]

1968 (1)

F. S. Chen, J. T. LaMacchia, and D. B. Fraser, “Holographic storage in lithium niobate,” Appl. Phys. Lett. 13, 223 (1968).
[Crossref]

Agrawal, G. P.

Alfano, R. R.

Allen, L.

L. Allen, M. J. Padgett, and M. Babiker, “The orbital angular momentum of light,” Prog. Opt. 39, 291–372 (1999).
[Crossref]

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second-harmonic generation and the orbital angular momentum of light,” Phys. Rev. A 54, R3742–R3745 (1996).
[Crossref] [PubMed]

An, X.

Anastassiou, C.

S. Lan, C. Anastassiou, M. Segev, M. Shih, J. A. Giordmaine, and G. Mizell, “Tuning of second-harmonic generation in waveguides induced by photorefractive spatial solitons,” Appl. Phys. Lett. 77, 2101–2103 (2000).
[Crossref]

S. Lan, M. F. Shih, G. Mizell, J. A. Giordmaine, Z. G. Chen, C. Anastassiou, J. Martin, and M. Segev, “Second-harmonic generation in waveguides induced by photorefractive spatial solitons,” Opt. Lett. 24, 1145–1147 (1999).
[Crossref]

Arizmendi, L.

L. Arizmendi, “Photonic applications of lithium niobate crystals,” Phys. Status Solidi A 201, 253–283 (2004).
[Crossref]

Assa, M.

D. Neshev, A. Dreischuh, M. Assa, and S. Dinev, “Motion control of ensembles of ordered optical vortices generated on finite extent background,” Opt. Commun. 151, 413–421 (1998).
[Crossref]

Babiker, M.

L. Allen, M. J. Padgett, and M. Babiker, “The orbital angular momentum of light,” Prog. Opt. 39, 291–372 (1999).
[Crossref]

Baldeck, P. L.

Bashaw, M. C.

M. Taya, M. C. Bashaw, M. M. Fejer, M. Segev, and G. C. Valley, “Observation of dark photovoltaic spatial solitons,” Phys. Rev. A 52, 3095–3100 (1995).
[Crossref] [PubMed]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

Basistiy, I. V.

I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, “Optics of light-beams with screw dislocations,” Opt. Commun. 103, 422–428 (1993).
[Crossref]

Batchko, R. G.

Bazhenov, V. Y.

I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, “Optics of light-beams with screw dislocations,” Opt. Commun. 103, 422–428 (1993).
[Crossref]

Bernet, S.

Berzanskis, A.

A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, “Conversion of topological charge of optical vortices in a parametric frequency converter,” Opt. Commun. 140, 273–276 (1997).
[Crossref]

Bezuhanov, K.

Boardman, A. D.

Brunken, S.

D. Runde, S. Brunken, C. E. Rutter, and D. Kip, “Integrated optical electric field sensor based on a Bragg grating in lithium niobate,” Appl. Phys. B 86, 91–95 (2007).
[Crossref]

Burr, G. W.

Byer, R. L.

Chauvet, M.

F. Pettazzi, V. Coda, M. Chauvet, and E. Fazio, “Frequency-doubling in self-induced waveguides in lithium niobate,” Opt. Commun. 272, 238–241 (2007).
[Crossref]

Chen, F. S.

F. S. Chen, J. T. LaMacchia, and D. B. Fraser, “Holographic storage in lithium niobate,” Appl. Phys. Lett. 13, 223 (1968).
[Crossref]

Chen, X. G.

Chen, Y.

Chen, Z.

C. Lou, J. Xu, H. Qiao, X. Zhang, Y. Chen, and Z. Chen, “Enhanced second-harmonic generation by means of high-power confinement in a photovoltaic soliton-induced waveguide,” Opt. Lett. 29, 953–955 (2004).
[Crossref] [PubMed]

Z. Chen, M. Segev, D. W. Wilson, R. E. Muller, and P. D. Maker, “Self-trapping of an optical vortex by use of the bulk photovoltaic effect,” Phys. Rev. Lett. 78, 2948–2951 (1997).
[Crossref]

Chen, Z. G.

Christou, J.

Coda, V.

F. Pettazzi, V. Coda, M. Chauvet, and E. Fazio, “Frequency-doubling in self-induced waveguides in lithium niobate,” Opt. Commun. 272, 238–241 (2007).
[Crossref]

Crosignani, B.

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

B. Crosignani, M. Segev, D. Engin, P. Diporto, A. Yariv, and G. Salamo, “Self-trapping of optical beams in photorefractive media,” J. Opt. Soc. Am. B 10, 446–453 (1993).
[Crossref]

Dadap, J. I.

Daisy, R.

DeSalvo, R.

R. DeSalvo, A. A. Said, D. J. Hagan, E. W. Van Stryland, and M. SheikBahae, “Infrared to ultraviolet measurements of two-photon absorption and n(2) in wide bandgap solids,” IEEE J. Quantum Electron. 32, 1324–1333 (1996).
[Crossref]

Desyatnikov, A. S.

A. S. Desyatnikov, Yu. S. Kivshar, and L. Torner, “Optical vortices and vortex solitons,” Prog. Opt. 47, 291–391 (2005).
[Crossref]

Dholakia, K.

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second-harmonic generation and the orbital angular momentum of light,” Phys. Rev. A 54, R3742–R3745 (1996).
[Crossref] [PubMed]

Dinev, S.

D. Neshev, A. Dreischuh, M. Assa, and S. Dinev, “Motion control of ensembles of ordered optical vortices generated on finite extent background,” Opt. Commun. 151, 413–421 (1998).
[Crossref]

A. Dreischuh, U. Reiter Domiaty, D. Gruber, L. Windholz, and S. Dinev, “Nonlinear alignment between conical emissions generated in a four-wave parametric mixing process,” Appl. Phys. B 66, 175–180 (1998).
[Crossref]

S. Dinev and A. Dreischuh, “Sum-frequency generation in the xuv,” Opt. Quantum Electron. 23, 91–97 (1991).
[Crossref]

Diporto, P.

Domiaty, U. Reiter

A. Dreischuh, U. Reiter Domiaty, D. Gruber, L. Windholz, and S. Dinev, “Nonlinear alignment between conical emissions generated in a four-wave parametric mixing process,” Appl. Phys. B 66, 175–180 (1998).
[Crossref]

Dreischuh, A.

K. Bezuhanov, A. Dreischuh, G. G. Paulus, M. G. Schatzel, H. Walther, D. Neshev, W. Krolikowski, and Y. Kivshar, “Spatial phase dislocations in femtosecond laser pulses,” J. Opt. Soc. Am. B 23, 26–35 (2006).
[Crossref]

K. Bezuhanov, A. Dreischuh, G. G. Paulus, M. G. Schatzel, and H. Walther, “Vortices in femtosecond laser fields,” Opt. Lett. 29, 1942–1944 (2004).
[Crossref] [PubMed]

F. Grasbon, A. Dreischuh, G. G. Paulus, F. Zacher, and H. Walther, “Femtosecond interferometric autocorrelations in the presence of pulse front distortions,” Proc. SPIE 3571, 164–168 (1999).
[Crossref]

A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, D. Neshev, and H. Walther, “Modulational instability of multiple-charged optical vortex solitons under saturation of the nonlinearity,” Phys. Rev. E 60, 7518–7524 (1999).
[Crossref]

D. Neshev, A. Dreischuh, M. Assa, and S. Dinev, “Motion control of ensembles of ordered optical vortices generated on finite extent background,” Opt. Commun. 151, 413–421 (1998).
[Crossref]

A. Dreischuh, U. Reiter Domiaty, D. Gruber, L. Windholz, and S. Dinev, “Nonlinear alignment between conical emissions generated in a four-wave parametric mixing process,” Appl. Phys. B 66, 175–180 (1998).
[Crossref]

S. Dinev and A. Dreischuh, “Sum-frequency generation in the xuv,” Opt. Quantum Electron. 23, 91–97 (1991).
[Crossref]

Eliel, E. R.

L. T. Vuong, T. D. Grow, A. Ishaaya, A. L. Gaeta, G. W. Hooft, ’t, E. R. Eliel, and G. Fibich, “Collapse of optical vortices,” Phys. Rev. Lett. 96, 133901–133904 (2006).
[Crossref] [PubMed]

Engin, D.

Erman, L.

Fazio, E.

F. Pettazzi, V. Coda, M. Chauvet, and E. Fazio, “Frequency-doubling in self-induced waveguides in lithium niobate,” Opt. Commun. 272, 238–241 (2007).
[Crossref]

Feigelson, R. S.

Fejer, M. M.

R. G. Batchko, M. M. Fejer, R. L. Byer, D. Woll, R. Wallenstein, V. Y. Shur, and L. Erman, “Continuous-wave quasi-phase-matched generation of 60 mW at 465 nm by single-pass frequency doubling of a laser diode in backswitch-poled lithium niobate,” Opt. Lett. 24, 1293–1295 (1999).
[Crossref]

G. D. Miller, R. G. Batchko, W. M. Tulloch, D. R Weise, M. M. Fejer, and R. L. Byer, “42%-efficient single-pass cw second-harmonic generation in periodically poled lithium niobate,” Opt. Lett. 22, 1834–1836 (1997).
[Crossref]

M. Taya, M. C. Bashaw, M. M. Fejer, M. Segev, and G. C. Valley, “Observation of dark photovoltaic spatial solitons,” Phys. Rev. A 52, 3095–3100 (1995).
[Crossref] [PubMed]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

D. H. Jundt, M. M. Fejer, and R. L. Byer, “Optical-properties of lithium-rich lithium-niobate fabricated by vapor transport equilibration,” IEEE J. Quantum Electron. 26, 135–138 (1990).
[Crossref]

Fibich, G.

L. T. Vuong, T. D. Grow, A. Ishaaya, A. L. Gaeta, G. W. Hooft, ’t, E. R. Eliel, and G. Fibich, “Collapse of optical vortices,” Phys. Rev. Lett. 96, 133901–133904 (2006).
[Crossref] [PubMed]

Firth, W. J.

D. V. Skryabin and W. J. Firth, “Dynamics of self-trapped beams with phase dislocation in saturable Kerr and quadratic nonlinear media,” Phys. Rev. E 58, 3916–3930 (1998).
[Crossref]

W. J. Firth and D. V. Skryabin, “Optical solitons carrying orbital angular momentum,” Phys. Rev. Lett. 79, 2450–2453 (1997).
[Crossref]

Fischer, B.

Foo, G.

Fraser, D. B.

F. S. Chen, J. T. LaMacchia, and D. B. Fraser, “Holographic storage in lithium niobate,” Appl. Phys. Lett. 13, 223 (1968).
[Crossref]

Furhapter, S.

Gaeta, A. L.

L. T. Vuong, T. D. Grow, A. Ishaaya, A. L. Gaeta, G. W. Hooft, ’t, E. R. Eliel, and G. Fibich, “Collapse of optical vortices,” Phys. Rev. Lett. 96, 133901–133904 (2006).
[Crossref] [PubMed]

Giordmaine, J. A.

S. Lan, C. Anastassiou, M. Segev, M. Shih, J. A. Giordmaine, and G. Mizell, “Tuning of second-harmonic generation in waveguides induced by photorefractive spatial solitons,” Appl. Phys. Lett. 77, 2101–2103 (2000).
[Crossref]

S. Lan, M. F. Shih, G. Mizell, J. A. Giordmaine, Z. G. Chen, C. Anastassiou, J. Martin, and M. Segev, “Second-harmonic generation in waveguides induced by photorefractive spatial solitons,” Opt. Lett. 24, 1145–1147 (1999).
[Crossref]

Gordon, J. P.

Grasbon, F.

F. Grasbon, A. Dreischuh, G. G. Paulus, F. Zacher, and H. Walther, “Femtosecond interferometric autocorrelations in the presence of pulse front distortions,” Proc. SPIE 3571, 164–168 (1999).
[Crossref]

A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, D. Neshev, and H. Walther, “Modulational instability of multiple-charged optical vortex solitons under saturation of the nonlinearity,” Phys. Rev. E 60, 7518–7524 (1999).
[Crossref]

Grier, D. G.

D. G. Grier, “A revolution in optical manipulation,” Nature 424, 810–816 (2003).
[Crossref] [PubMed]

Grow, T. D.

L. T. Vuong, T. D. Grow, A. Ishaaya, A. L. Gaeta, G. W. Hooft, ’t, E. R. Eliel, and G. Fibich, “Collapse of optical vortices,” Phys. Rev. Lett. 96, 133901–133904 (2006).
[Crossref] [PubMed]

Gruber, D.

A. Dreischuh, U. Reiter Domiaty, D. Gruber, L. Windholz, and S. Dinev, “Nonlinear alignment between conical emissions generated in a four-wave parametric mixing process,” Appl. Phys. B 66, 175–180 (1998).
[Crossref]

Hagan, D. J.

R. DeSalvo, A. A. Said, D. J. Hagan, E. W. Van Stryland, and M. SheikBahae, “Infrared to ultraviolet measurements of two-photon absorption and n(2) in wide bandgap solids,” IEEE J. Quantum Electron. 32, 1324–1333 (1996).
[Crossref]

Ho, P. P.

Hooft, ’t, G. W.

L. T. Vuong, T. D. Grow, A. Ishaaya, A. L. Gaeta, G. W. Hooft, ’t, E. R. Eliel, and G. Fibich, “Collapse of optical vortices,” Phys. Rev. Lett. 96, 133901–133904 (2006).
[Crossref] [PubMed]

Horowitz, M.

Hsieh, I. W.

Ilecki, W.

Indebetouw, G.

G. Indebetouw, “Optical vortices and their propagation,” J. Mod. Opt. 40, 73–87 (1993).
[Crossref]

Ishaaya, A.

L. T. Vuong, T. D. Grow, A. Ishaaya, A. L. Gaeta, G. W. Hooft, ’t, E. R. Eliel, and G. Fibich, “Collapse of optical vortices,” Phys. Rev. Lett. 96, 133901–133904 (2006).
[Crossref] [PubMed]

Jesacher, A.

Ji, D.

Jundt, D. H.

D. H. Jundt, M. M. Fejer, and R. L. Byer, “Optical-properties of lithium-rich lithium-niobate fabricated by vapor transport equilibration,” IEEE J. Quantum Electron. 26, 135–138 (1990).
[Crossref]

Kim, G. H.

Kim, L. U.

Kip, D.

D. Runde, S. Brunken, C. E. Rutter, and D. Kip, “Integrated optical electric field sensor based on a Bragg grating in lithium niobate,” Appl. Phys. B 86, 91–95 (2007).
[Crossref]

Kivshar, Y.

Kivshar, Yu. S.

A. S. Desyatnikov, Yu. S. Kivshar, and L. Torner, “Optical vortices and vortex solitons,” Prog. Opt. 47, 291–391 (2005).
[Crossref]

S. M. Saltiel, A. A. Sukhorukov, and Yu. S. Kivshar, “Multistep parametric processes in nonlinear optics” Prog. Opt. 47, 1–73 (2005).
[Crossref]

Yu. S. Kivshar, J. Christou, V. Tikhonenko, B. Luther-Davies, and L. M. Pismen, “Dynamics of optical vortex solitons,” Opt. Commun. 152, 198–206 (1998).
[Crossref]

Yu. S. Kivshar and B. Luther-Davies, “Dark optical solitons: physics and applications,” Phys. Rep. 298, 81–197 (1998).
[Crossref]

J. Christou, V. Tikhonenko, Yu. S. Kivshar, and B. LutherDavies, “Vortex soliton motion and steering,” Opt. Lett. 21, 1649–1651 (1996).
[Crossref] [PubMed]

Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, 2003).

Kolev, V. Z.

Krolikowski, W.

Kuhnle, G.

LaMacchia, J. T.

F. S. Chen, J. T. LaMacchia, and D. B. Fraser, “Holographic storage in lithium niobate,” Appl. Phys. Lett. 13, 223 (1968).
[Crossref]

Lan, S.

S. Lan, C. Anastassiou, M. Segev, M. Shih, J. A. Giordmaine, and G. Mizell, “Tuning of second-harmonic generation in waveguides induced by photorefractive spatial solitons,” Appl. Phys. Lett. 77, 2101–2103 (2000).
[Crossref]

S. Lan, M. F. Shih, G. Mizell, J. A. Giordmaine, Z. G. Chen, C. Anastassiou, J. Martin, and M. Segev, “Second-harmonic generation in waveguides induced by photorefractive spatial solitons,” Opt. Lett. 24, 1145–1147 (1999).
[Crossref]

Law, C. T.

Lederer, M. J.

Lee, H.

Lee, H. J.

Liu, Y.

Lou, C.

LutherDavies, B.

Luther-Davies, B.

Maker, P. D.

Z. Chen, M. Segev, D. W. Wilson, R. E. Muller, and P. D. Maker, “Self-trapping of an optical vortex by use of the bulk photovoltaic effect,” Phys. Rev. Lett. 78, 2948–2951 (1997).
[Crossref]

Marte, M. Ritsch

Martin, J.

Matijosius, A.

A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, “Conversion of topological charge of optical vortices in a parametric frequency converter,” Opt. Commun. 140, 273–276 (1997).
[Crossref]

Mcnab, S. J.

Miller, G. D.

Mitchell, M.

Mitomi, O.

Mitschke, F. M.

Miyazawa, H.

Mizell, G.

S. Lan, C. Anastassiou, M. Segev, M. Shih, J. A. Giordmaine, and G. Mizell, “Tuning of second-harmonic generation in waveguides induced by photorefractive spatial solitons,” Appl. Phys. Lett. 77, 2101–2103 (2000).
[Crossref]

S. Lan, M. F. Shih, G. Mizell, J. A. Giordmaine, Z. G. Chen, C. Anastassiou, J. Martin, and M. Segev, “Second-harmonic generation in waveguides induced by photorefractive spatial solitons,” Opt. Lett. 24, 1145–1147 (1999).
[Crossref]

Mollenauer, L. F.

Morris, J. R.

K. H. Yang, J. R. Morris, P. L. Richards, and Y. R. Shen, “Phase-matched far-infrared generation by optical mixing of dye laser beams,” Appl. Phys. Lett. 23, 669–671 (1973).
[Crossref]

Muller, R. E.

Z. Chen, M. Segev, D. W. Wilson, R. E. Muller, and P. D. Maker, “Self-trapping of an optical vortex by use of the bulk photovoltaic effect,” Phys. Rev. Lett. 78, 2948–2951 (1997).
[Crossref]

Neshev, D.

K. Bezuhanov, A. Dreischuh, G. G. Paulus, M. G. Schatzel, H. Walther, D. Neshev, W. Krolikowski, and Y. Kivshar, “Spatial phase dislocations in femtosecond laser pulses,” J. Opt. Soc. Am. B 23, 26–35 (2006).
[Crossref]

A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, D. Neshev, and H. Walther, “Modulational instability of multiple-charged optical vortex solitons under saturation of the nonlinearity,” Phys. Rev. E 60, 7518–7524 (1999).
[Crossref]

D. Neshev, A. Dreischuh, M. Assa, and S. Dinev, “Motion control of ensembles of ordered optical vortices generated on finite extent background,” Opt. Commun. 151, 413–421 (1998).
[Crossref]

Neshev, D. N.

D. N. Neshev et al., “Nonlinear spectral-spatial control and localization of supercontinuum radiation,” Phys. Rev. Lett. 99, 123901–123904 (2007).
[Crossref] [PubMed]

Nikogosyan, D. N.

D. N. Nikogosyan, Properties of Optical and Laser-Related Materials: A Handbook (Wiley, Chichester, UK, 1997).

Noguchi, K.

Orlov, S.

S. Orlov, A. Yariv, and M. Segev, “Nonlinear self-phase matching of optical second harmonic generation in lithium niobate,” Appl. Phys. Lett. 68, 1610–1612 (1996).
[Crossref]

Osgood, R. M.

Padgett, M. J.

L. Allen, M. J. Padgett, and M. Babiker, “The orbital angular momentum of light,” Prog. Opt. 39, 291–372 (1999).
[Crossref]

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second-harmonic generation and the orbital angular momentum of light,” Phys. Rev. A 54, R3742–R3745 (1996).
[Crossref] [PubMed]

Palacios, D. M.

Panoiu, N. C.

Paulus, G. G.

K. Bezuhanov, A. Dreischuh, G. G. Paulus, M. G. Schatzel, H. Walther, D. Neshev, W. Krolikowski, and Y. Kivshar, “Spatial phase dislocations in femtosecond laser pulses,” J. Opt. Soc. Am. B 23, 26–35 (2006).
[Crossref]

K. Bezuhanov, A. Dreischuh, G. G. Paulus, M. G. Schatzel, and H. Walther, “Vortices in femtosecond laser fields,” Opt. Lett. 29, 1942–1944 (2004).
[Crossref] [PubMed]

A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, D. Neshev, and H. Walther, “Modulational instability of multiple-charged optical vortex solitons under saturation of the nonlinearity,” Phys. Rev. E 60, 7518–7524 (1999).
[Crossref]

F. Grasbon, A. Dreischuh, G. G. Paulus, F. Zacher, and H. Walther, “Femtosecond interferometric autocorrelations in the presence of pulse front distortions,” Proc. SPIE 3571, 164–168 (1999).
[Crossref]

Petrov, D. V.

L. Torner and D. V. Petrov, “Azimuthal instabilities and self-breaking of beams into sets of solitons in bulk second-harmonic generation,” Electron. Lett. 33, 608–610 (1997).
[Crossref]

Pettazzi, F.

F. Pettazzi, V. Coda, M. Chauvet, and E. Fazio, “Frequency-doubling in self-induced waveguides in lithium niobate,” Opt. Commun. 272, 238–241 (2007).
[Crossref]

Piskarskas, A.

A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, “Conversion of topological charge of optical vortices in a parametric frequency converter,” Opt. Commun. 140, 273–276 (1997).
[Crossref]

Pismen, L. M.

Yu. S. Kivshar, J. Christou, V. Tikhonenko, B. Luther-Davies, and L. M. Pismen, “Dynamics of optical vortex solitons,” Opt. Commun. 152, 198–206 (1998).
[Crossref]

Powles, R.

Psaltis, D.

Qiao, H.

Reintjes, J. F.

J. F. Reintjes, Nonlinear Optical Parametric Processes in Liquids and Gasses (Academic Press, New York, 1984).

Richards, P. L.

K. H. Yang, J. R. Morris, P. L. Richards, and Y. R. Shen, “Phase-matched far-infrared generation by optical mixing of dye laser beams,” Appl. Phys. Lett. 23, 669–671 (1973).
[Crossref]

Rode, A. V.

Roux, F. S.

Rozas, D.

D. Rozas, C. T. Law, and G. A. Swartzlander, “Propagation dynamics of optical vortices,” J. Opt. Soc. Am. B 14, 3054–3065 (1997).
[Crossref]

D. Rozas, Z. S. Sacks, and G. A. Swartzlander, “Experimental observation of fluidlike motion of optical vortices,” Phys. Rev. Lett. 79, 3399–3402 (1997).
[Crossref]

Runde, D.

D. Runde, S. Brunken, C. E. Rutter, and D. Kip, “Integrated optical electric field sensor based on a Bragg grating in lithium niobate,” Appl. Phys. B 86, 91–95 (2007).
[Crossref]

Rutter, C. E.

D. Runde, S. Brunken, C. E. Rutter, and D. Kip, “Integrated optical electric field sensor based on a Bragg grating in lithium niobate,” Appl. Phys. B 86, 91–95 (2007).
[Crossref]

Sacks, Z. S.

D. Rozas, Z. S. Sacks, and G. A. Swartzlander, “Experimental observation of fluidlike motion of optical vortices,” Phys. Rev. Lett. 79, 3399–3402 (1997).
[Crossref]

Said, A. A.

R. DeSalvo, A. A. Said, D. J. Hagan, E. W. Van Stryland, and M. SheikBahae, “Infrared to ultraviolet measurements of two-photon absorption and n(2) in wide bandgap solids,” IEEE J. Quantum Electron. 32, 1324–1333 (1996).
[Crossref]

Salamo, G.

Saltiel, S. M.

S. M. Saltiel, A. A. Sukhorukov, and Yu. S. Kivshar, “Multistep parametric processes in nonlinear optics” Prog. Opt. 47, 1–73 (2005).
[Crossref]

Schatzel, M. G.

Schmit, J.

G. A. Swartzlander and J. Schmit, “Temporal correlation vortices and topological dispersion,” Phys. Rev. Lett. 93, 093901–093904 (2004).
[Crossref] [PubMed]

Segev, M.

S. Lan, C. Anastassiou, M. Segev, M. Shih, J. A. Giordmaine, and G. Mizell, “Tuning of second-harmonic generation in waveguides induced by photorefractive spatial solitons,” Appl. Phys. Lett. 77, 2101–2103 (2000).
[Crossref]

S. Lan, M. F. Shih, G. Mizell, J. A. Giordmaine, Z. G. Chen, C. Anastassiou, J. Martin, and M. Segev, “Second-harmonic generation in waveguides induced by photorefractive spatial solitons,” Opt. Lett. 24, 1145–1147 (1999).
[Crossref]

M. F. Shih, Z. G. Chen, M. Mitchell, M. Segev, H. Lee, R. S. Feigelson, and J. P. Wilde, “Waveguides induced by photorefractive screening solitons,” J. Opt. Soc. Am. B 14, 3091–3101 (1997).
[Crossref]

Z. Chen, M. Segev, D. W. Wilson, R. E. Muller, and P. D. Maker, “Self-trapping of an optical vortex by use of the bulk photovoltaic effect,” Phys. Rev. Lett. 78, 2948–2951 (1997).
[Crossref]

S. Orlov, A. Yariv, and M. Segev, “Nonlinear self-phase matching of optical second harmonic generation in lithium niobate,” Appl. Phys. Lett. 68, 1610–1612 (1996).
[Crossref]

M. Taya, M. C. Bashaw, M. M. Fejer, M. Segev, and G. C. Valley, “Observation of dark photovoltaic spatial solitons,” Phys. Rev. A 52, 3095–3100 (1995).
[Crossref] [PubMed]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

B. Crosignani, M. Segev, D. Engin, P. Diporto, A. Yariv, and G. Salamo, “Self-trapping of optical beams in photorefractive media,” J. Opt. Soc. Am. B 10, 446–453 (1993).
[Crossref]

SheikBahae, M.

R. DeSalvo, A. A. Said, D. J. Hagan, E. W. Van Stryland, and M. SheikBahae, “Infrared to ultraviolet measurements of two-photon absorption and n(2) in wide bandgap solids,” IEEE J. Quantum Electron. 32, 1324–1333 (1996).
[Crossref]

Shen, Y. R.

K. H. Yang, J. R. Morris, P. L. Richards, and Y. R. Shen, “Phase-matched far-infrared generation by optical mixing of dye laser beams,” Appl. Phys. Lett. 23, 669–671 (1973).
[Crossref]

Shih, M.

S. Lan, C. Anastassiou, M. Segev, M. Shih, J. A. Giordmaine, and G. Mizell, “Tuning of second-harmonic generation in waveguides induced by photorefractive spatial solitons,” Appl. Phys. Lett. 77, 2101–2103 (2000).
[Crossref]

Shih, M. F.

Shur, V. Y.

Siegman, A. E.

A. E. Siegman, Lasers (University Science Books, Sausalito, Calif., 1986), p. 1283.

Simon, P.

Simpson, N. B.

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second-harmonic generation and the orbital angular momentum of light,” Phys. Rev. A 54, R3742–R3745 (1996).
[Crossref] [PubMed]

Skryabin, D. V.

D. V. Skryabin and W. J. Firth, “Dynamics of self-trapped beams with phase dislocation in saturable Kerr and quadratic nonlinear media,” Phys. Rev. E 58, 3916–3930 (1998).
[Crossref]

W. J. Firth and D. V. Skryabin, “Optical solitons carrying orbital angular momentum,” Phys. Rev. Lett. 79, 2450–2453 (1997).
[Crossref]

Smilgevicius, V.

A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, “Conversion of topological charge of optical vortices in a parametric frequency converter,” Opt. Commun. 140, 273–276 (1997).
[Crossref]

Sonin, E. B.

E. B. Sonin, “Vortex oscillations and hydrodynamics of rotating superfluids,” Rev. Mod. Phys. 59, 87–155 (1987).
[Crossref]

Soskin, M. S.

M. S. Soskin and M. V. Vasnetsov, “Singular optics,” Prog. Opt. 42, 219–276 (2001).
[Crossref]

M. S. Soskin and M. V. Vasnetsov, “Nonlinear singular optics,” Pure Appl. Opt. 7, 301–311 (1998).
[Crossref]

I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, “Optics of light-beams with screw dislocations,” Opt. Commun. 103, 422–428 (1993).
[Crossref]

Stabinis, A.

A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, “Conversion of topological charge of optical vortices in a parametric frequency converter,” Opt. Commun. 140, 273–276 (1997).
[Crossref]

Suk, H.

Sukhorukov, A. A.

S. M. Saltiel, A. A. Sukhorukov, and Yu. S. Kivshar, “Multistep parametric processes in nonlinear optics” Prog. Opt. 47, 1–73 (2005).
[Crossref]

Swartzlander, G. A.

G. Foo, D. M. Palacios, and G. A. Swartzlander, “Optical vortex coronagraph,” Opt. Lett. 30, 3308–3310 (2005).
[Crossref]

G. A. Swartzlander and J. Schmit, “Temporal correlation vortices and topological dispersion,” Phys. Rev. Lett. 93, 093901–093904 (2004).
[Crossref] [PubMed]

D. Rozas, Z. S. Sacks, and G. A. Swartzlander, “Experimental observation of fluidlike motion of optical vortices,” Phys. Rev. Lett. 79, 3399–3402 (1997).
[Crossref]

D. Rozas, C. T. Law, and G. A. Swartzlander, “Propagation dynamics of optical vortices,” J. Opt. Soc. Am. B 14, 3054–3065 (1997).
[Crossref]

Szatmari, S.

Taya, M.

M. Taya, M. C. Bashaw, M. M. Fejer, M. Segev, and G. C. Valley, “Observation of dark photovoltaic spatial solitons,” Phys. Rev. A 52, 3095–3100 (1995).
[Crossref] [PubMed]

Terriza, G. Molina

G. Molina Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nature Physics 3, 305–310 (2007).
[Crossref]

Tikhonenko, V.

Torner, L.

G. Molina Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nature Physics 3, 305–310 (2007).
[Crossref]

A. S. Desyatnikov, Yu. S. Kivshar, and L. Torner, “Optical vortices and vortex solitons,” Prog. Opt. 47, 291–391 (2005).
[Crossref]

L. Torner and D. V. Petrov, “Azimuthal instabilities and self-breaking of beams into sets of solitons in bulk second-harmonic generation,” Electron. Lett. 33, 608–610 (1997).
[Crossref]

Torres, J. P.

G. Molina Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nature Physics 3, 305–310 (2007).
[Crossref]

Tulloch, W. M.

Valley, G. C.

M. Taya, M. C. Bashaw, M. M. Fejer, M. Segev, and G. C. Valley, “Observation of dark photovoltaic spatial solitons,” Phys. Rev. A 52, 3095–3100 (1995).
[Crossref] [PubMed]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

Van Stryland, E. W.

R. DeSalvo, A. A. Said, D. J. Hagan, E. W. Van Stryland, and M. SheikBahae, “Infrared to ultraviolet measurements of two-photon absorption and n(2) in wide bandgap solids,” IEEE J. Quantum Electron. 32, 1324–1333 (1996).
[Crossref]

Vasnetsov, M. V.

M. S. Soskin and M. V. Vasnetsov, “Singular optics,” Prog. Opt. 42, 219–276 (2001).
[Crossref]

M. S. Soskin and M. V. Vasnetsov, “Nonlinear singular optics,” Pure Appl. Opt. 7, 301–311 (1998).
[Crossref]

I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, “Optics of light-beams with screw dislocations,” Opt. Commun. 103, 422–428 (1993).
[Crossref]

Vlasov, Y. A.

Vuong, L. T.

L. T. Vuong, T. D. Grow, A. Ishaaya, A. L. Gaeta, G. W. Hooft, ’t, E. R. Eliel, and G. Fibich, “Collapse of optical vortices,” Phys. Rev. Lett. 96, 133901–133904 (2006).
[Crossref] [PubMed]

Wallenstein, R.

Walther, H.

K. Bezuhanov, A. Dreischuh, G. G. Paulus, M. G. Schatzel, H. Walther, D. Neshev, W. Krolikowski, and Y. Kivshar, “Spatial phase dislocations in femtosecond laser pulses,” J. Opt. Soc. Am. B 23, 26–35 (2006).
[Crossref]

K. Bezuhanov, A. Dreischuh, G. G. Paulus, M. G. Schatzel, and H. Walther, “Vortices in femtosecond laser fields,” Opt. Lett. 29, 1942–1944 (2004).
[Crossref] [PubMed]

A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, D. Neshev, and H. Walther, “Modulational instability of multiple-charged optical vortex solitons under saturation of the nonlinearity,” Phys. Rev. E 60, 7518–7524 (1999).
[Crossref]

F. Grasbon, A. Dreischuh, G. G. Paulus, F. Zacher, and H. Walther, “Femtosecond interferometric autocorrelations in the presence of pulse front distortions,” Proc. SPIE 3571, 164–168 (1999).
[Crossref]

Wang, Q. Z.

Weise, D. R

Werner, O.

Wilde, J. P.

Wilson, D. W.

Z. Chen, M. Segev, D. W. Wilson, R. E. Muller, and P. D. Maker, “Self-trapping of an optical vortex by use of the bulk photovoltaic effect,” Phys. Rev. Lett. 78, 2948–2951 (1997).
[Crossref]

Windholz, L.

A. Dreischuh, U. Reiter Domiaty, D. Gruber, L. Windholz, and S. Dinev, “Nonlinear alignment between conical emissions generated in a four-wave parametric mixing process,” Appl. Phys. B 66, 175–180 (1998).
[Crossref]

Woll, D.

Xu, J.

Yang, K. H.

K. H. Yang, J. R. Morris, P. L. Richards, and Y. R. Shen, “Phase-matched far-infrared generation by optical mixing of dye laser beams,” Appl. Phys. Lett. 23, 669–671 (1973).
[Crossref]

Yariv, A.

S. Orlov, A. Yariv, and M. Segev, “Nonlinear self-phase matching of optical second harmonic generation in lithium niobate,” Appl. Phys. Lett. 68, 1610–1612 (1996).
[Crossref]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

B. Crosignani, M. Segev, D. Engin, P. Diporto, A. Yariv, and G. Salamo, “Self-trapping of optical beams in photorefractive media,” J. Opt. Soc. Am. B 10, 446–453 (1993).
[Crossref]

Zacher, F.

F. Grasbon, A. Dreischuh, G. G. Paulus, F. Zacher, and H. Walther, “Femtosecond interferometric autocorrelations in the presence of pulse front distortions,” Proc. SPIE 3571, 164–168 (1999).
[Crossref]

A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, D. Neshev, and H. Walther, “Modulational instability of multiple-charged optical vortex solitons under saturation of the nonlinearity,” Phys. Rev. E 60, 7518–7524 (1999).
[Crossref]

Zhang, X.

Appl. Opt. (2)

Appl. Phys. B (2)

A. Dreischuh, U. Reiter Domiaty, D. Gruber, L. Windholz, and S. Dinev, “Nonlinear alignment between conical emissions generated in a four-wave parametric mixing process,” Appl. Phys. B 66, 175–180 (1998).
[Crossref]

D. Runde, S. Brunken, C. E. Rutter, and D. Kip, “Integrated optical electric field sensor based on a Bragg grating in lithium niobate,” Appl. Phys. B 86, 91–95 (2007).
[Crossref]

Appl. Phys. Lett. (4)

F. S. Chen, J. T. LaMacchia, and D. B. Fraser, “Holographic storage in lithium niobate,” Appl. Phys. Lett. 13, 223 (1968).
[Crossref]

K. H. Yang, J. R. Morris, P. L. Richards, and Y. R. Shen, “Phase-matched far-infrared generation by optical mixing of dye laser beams,” Appl. Phys. Lett. 23, 669–671 (1973).
[Crossref]

S. Lan, C. Anastassiou, M. Segev, M. Shih, J. A. Giordmaine, and G. Mizell, “Tuning of second-harmonic generation in waveguides induced by photorefractive spatial solitons,” Appl. Phys. Lett. 77, 2101–2103 (2000).
[Crossref]

S. Orlov, A. Yariv, and M. Segev, “Nonlinear self-phase matching of optical second harmonic generation in lithium niobate,” Appl. Phys. Lett. 68, 1610–1612 (1996).
[Crossref]

Electron. Lett. (1)

L. Torner and D. V. Petrov, “Azimuthal instabilities and self-breaking of beams into sets of solitons in bulk second-harmonic generation,” Electron. Lett. 33, 608–610 (1997).
[Crossref]

IEEE J. Quantum Electron. (2)

R. DeSalvo, A. A. Said, D. J. Hagan, E. W. Van Stryland, and M. SheikBahae, “Infrared to ultraviolet measurements of two-photon absorption and n(2) in wide bandgap solids,” IEEE J. Quantum Electron. 32, 1324–1333 (1996).
[Crossref]

D. H. Jundt, M. M. Fejer, and R. L. Byer, “Optical-properties of lithium-rich lithium-niobate fabricated by vapor transport equilibration,” IEEE J. Quantum Electron. 26, 135–138 (1990).
[Crossref]

J. Lightwave Technol. (1)

J. Mod. Opt. (1)

G. Indebetouw, “Optical vortices and their propagation,” J. Mod. Opt. 40, 73–87 (1993).
[Crossref]

J. Opt. Soc. Am. B (10)

F. S. Roux, “Dynamical behavior of optical vortices,” J. Opt. Soc. Am. B 12, 1215–1221 (1995).
[Crossref]

G. H. Kim, H. J. Lee, L. U. Kim, and H. Suk, “Propagation dynamics of optical vortices with anisotropic phase profiles,” J. Opt. Soc. Am. B 20, 351–359 (2003).
[Crossref]

V. Tikhonenko, J. Christou, and B. Luther-Davies, “Spiraling bright spatial solitons formed by the breakup of an optical vortex in a saturable self-focusing medium,” J. Opt. Soc. Am. B 12, 2046–2052 (1995).
[Crossref]

D. Rozas, C. T. Law, and G. A. Swartzlander, “Propagation dynamics of optical vortices,” J. Opt. Soc. Am. B 14, 3054–3065 (1997).
[Crossref]

A. D. Boardman, W. Ilecki, and Y. Liu, “Spatial solitons in a photorefractive medium sustaining second-harmonic generation,” J. Opt. Soc. Am. B 19, 832–838 (2002).
[Crossref]

M. F. Shih, Z. G. Chen, M. Mitchell, M. Segev, H. Lee, R. S. Feigelson, and J. P. Wilde, “Waveguides induced by photorefractive screening solitons,” J. Opt. Soc. Am. B 14, 3091–3101 (1997).
[Crossref]

B. Crosignani, M. Segev, D. Engin, P. Diporto, A. Yariv, and G. Salamo, “Self-trapping of optical beams in photorefractive media,” J. Opt. Soc. Am. B 10, 446–453 (1993).
[Crossref]

K. Bezuhanov, A. Dreischuh, G. G. Paulus, M. G. Schatzel, H. Walther, D. Neshev, W. Krolikowski, and Y. Kivshar, “Spatial phase dislocations in femtosecond laser pulses,” J. Opt. Soc. Am. B 23, 26–35 (2006).
[Crossref]

P. P. Ho, D. Ji, Q. Z. Wang, and R. R. Alfano, “Temporal behavior of cross-phase-modulated second-harmonic generation of ultrashort laser pulses in nonlinear-optical media,” J. Opt. Soc. Am. B 7, 276–284 (1990)
[Crossref]

R. R. Alfano, P. L. Baldeck, P. P. Ho, and G. P. Agrawal, “Cross-phase modulation and induced focusing due to optical nonlinearities in optical fibers and bulk materials,” J. Opt. Soc. Am. B 6, 824–829 (1989).
[Crossref]

Nature (1)

D. G. Grier, “A revolution in optical manipulation,” Nature 424, 810–816 (2003).
[Crossref] [PubMed]

Nature Physics (1)

G. Molina Terriza, J. P. Torres, and L. Torner, “Twisted photons,” Nature Physics 3, 305–310 (2007).
[Crossref]

Opt. Commun. (5)

D. Neshev, A. Dreischuh, M. Assa, and S. Dinev, “Motion control of ensembles of ordered optical vortices generated on finite extent background,” Opt. Commun. 151, 413–421 (1998).
[Crossref]

Yu. S. Kivshar, J. Christou, V. Tikhonenko, B. Luther-Davies, and L. M. Pismen, “Dynamics of optical vortex solitons,” Opt. Commun. 152, 198–206 (1998).
[Crossref]

A. Berzanskis, A. Matijosius, A. Piskarskas, V. Smilgevicius, and A. Stabinis, “Conversion of topological charge of optical vortices in a parametric frequency converter,” Opt. Commun. 140, 273–276 (1997).
[Crossref]

I. V. Basistiy, V. Y. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, “Optics of light-beams with screw dislocations,” Opt. Commun. 103, 422–428 (1993).
[Crossref]

F. Pettazzi, V. Coda, M. Chauvet, and E. Fazio, “Frequency-doubling in self-induced waveguides in lithium niobate,” Opt. Commun. 272, 238–241 (2007).
[Crossref]

Opt. Express (1)

Opt. Lett. (13)

F. M. Mitschke and L. F. Mollenauer, “Discovery of the soliton self-frequency shift,” Opt. Lett. 11, 659–661 (1986).
[Crossref] [PubMed]

J. P. Gordon, “Theory of the soliton self-frequency shift,” Opt. Lett. 11, 662–664 (1986).
[Crossref] [PubMed]

M. Horowitz, R. Daisy, O. Werner, and B. Fischer, “Large thermal nonlinearities and spatial self-phase modulation in SrxBa1-xNb2O6 and BaTiO3 crystals,” Opt. Lett. 17, 475–477 (1992).
[Crossref] [PubMed]

V. Z. Kolev, M. J. Lederer, B. Luther-Davies, and A. V. Rode, “Passive mode locking of a Nd:YVO4 laser with an extra-long optical resonator,” Opt. Lett. 28, 1275–1277 (2003).
[Crossref] [PubMed]

K. Bezuhanov, A. Dreischuh, G. G. Paulus, M. G. Schatzel, and H. Walther, “Vortices in femtosecond laser fields,” Opt. Lett. 29, 1942–1944 (2004).
[Crossref] [PubMed]

C. Lou, J. Xu, H. Qiao, X. Zhang, Y. Chen, and Z. Chen, “Enhanced second-harmonic generation by means of high-power confinement in a photovoltaic soliton-induced waveguide,” Opt. Lett. 29, 953–955 (2004).
[Crossref] [PubMed]

R. G. Batchko, M. M. Fejer, R. L. Byer, D. Woll, R. Wallenstein, V. Y. Shur, and L. Erman, “Continuous-wave quasi-phase-matched generation of 60 mW at 465 nm by single-pass frequency doubling of a laser diode in backswitch-poled lithium niobate,” Opt. Lett. 24, 1293–1295 (1999).
[Crossref]

S. Lan, M. F. Shih, G. Mizell, J. A. Giordmaine, Z. G. Chen, C. Anastassiou, J. Martin, and M. Segev, “Second-harmonic generation in waveguides induced by photorefractive spatial solitons,” Opt. Lett. 24, 1145–1147 (1999).
[Crossref]

J. Christou, V. Tikhonenko, Yu. S. Kivshar, and B. LutherDavies, “Vortex soliton motion and steering,” Opt. Lett. 21, 1649–1651 (1996).
[Crossref] [PubMed]

B. Luther-Davies, R. Powles, and V. Tikhonenko, “Nonlinear rotation of 3-dimensional dark spatial solitons in a gaussian laser-beam,” Opt. Lett. 19, 1816–1818 (1994).
[Crossref] [PubMed]

G. D. Miller, R. G. Batchko, W. M. Tulloch, D. R Weise, M. M. Fejer, and R. L. Byer, “42%-efficient single-pass cw second-harmonic generation in periodically poled lithium niobate,” Opt. Lett. 22, 1834–1836 (1997).
[Crossref]

G. Foo, D. M. Palacios, and G. A. Swartzlander, “Optical vortex coronagraph,” Opt. Lett. 30, 3308–3310 (2005).
[Crossref]

S. Furhapter, A. Jesacher, S. Bernet, and M. Ritsch Marte, “Spiral interferometry,” Opt. Lett. 30, 1953–1955 (2005).
[Crossref] [PubMed]

Opt. Quantum Electron. (1)

S. Dinev and A. Dreischuh, “Sum-frequency generation in the xuv,” Opt. Quantum Electron. 23, 91–97 (1991).
[Crossref]

Phys. Rep. (1)

Yu. S. Kivshar and B. Luther-Davies, “Dark optical solitons: physics and applications,” Phys. Rep. 298, 81–197 (1998).
[Crossref]

Phys. Rev. A (4)

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

K. Dholakia, N. B. Simpson, M. J. Padgett, and L. Allen, “Second-harmonic generation and the orbital angular momentum of light,” Phys. Rev. A 54, R3742–R3745 (1996).
[Crossref] [PubMed]

G. C. Valley, M. Segev, B. Crosignani, A. Yariv, M. M. Fejer, and M. C. Bashaw, “Dark and bright photovoltaic spatial solitons,” Phys. Rev. A 50, R4457–R4460 (1994).
[Crossref] [PubMed]

M. Taya, M. C. Bashaw, M. M. Fejer, M. Segev, and G. C. Valley, “Observation of dark photovoltaic spatial solitons,” Phys. Rev. A 52, 3095–3100 (1995).
[Crossref] [PubMed]

Phys. Rev. E (2)

A. Dreischuh, G. G. Paulus, F. Zacher, F. Grasbon, D. Neshev, and H. Walther, “Modulational instability of multiple-charged optical vortex solitons under saturation of the nonlinearity,” Phys. Rev. E 60, 7518–7524 (1999).
[Crossref]

D. V. Skryabin and W. J. Firth, “Dynamics of self-trapped beams with phase dislocation in saturable Kerr and quadratic nonlinear media,” Phys. Rev. E 58, 3916–3930 (1998).
[Crossref]

Phys. Rev. Lett. (6)

W. J. Firth and D. V. Skryabin, “Optical solitons carrying orbital angular momentum,” Phys. Rev. Lett. 79, 2450–2453 (1997).
[Crossref]

L. T. Vuong, T. D. Grow, A. Ishaaya, A. L. Gaeta, G. W. Hooft, ’t, E. R. Eliel, and G. Fibich, “Collapse of optical vortices,” Phys. Rev. Lett. 96, 133901–133904 (2006).
[Crossref] [PubMed]

D. Rozas, Z. S. Sacks, and G. A. Swartzlander, “Experimental observation of fluidlike motion of optical vortices,” Phys. Rev. Lett. 79, 3399–3402 (1997).
[Crossref]

D. N. Neshev et al., “Nonlinear spectral-spatial control and localization of supercontinuum radiation,” Phys. Rev. Lett. 99, 123901–123904 (2007).
[Crossref] [PubMed]

Z. Chen, M. Segev, D. W. Wilson, R. E. Muller, and P. D. Maker, “Self-trapping of an optical vortex by use of the bulk photovoltaic effect,” Phys. Rev. Lett. 78, 2948–2951 (1997).
[Crossref]

G. A. Swartzlander and J. Schmit, “Temporal correlation vortices and topological dispersion,” Phys. Rev. Lett. 93, 093901–093904 (2004).
[Crossref] [PubMed]

Phys. Status Solidi A (1)

L. Arizmendi, “Photonic applications of lithium niobate crystals,” Phys. Status Solidi A 201, 253–283 (2004).
[Crossref]

Proc. SPIE (1)

F. Grasbon, A. Dreischuh, G. G. Paulus, F. Zacher, and H. Walther, “Femtosecond interferometric autocorrelations in the presence of pulse front distortions,” Proc. SPIE 3571, 164–168 (1999).
[Crossref]

Prog. Opt. (4)

L. Allen, M. J. Padgett, and M. Babiker, “The orbital angular momentum of light,” Prog. Opt. 39, 291–372 (1999).
[Crossref]

M. S. Soskin and M. V. Vasnetsov, “Singular optics,” Prog. Opt. 42, 219–276 (2001).
[Crossref]

A. S. Desyatnikov, Yu. S. Kivshar, and L. Torner, “Optical vortices and vortex solitons,” Prog. Opt. 47, 291–391 (2005).
[Crossref]

S. M. Saltiel, A. A. Sukhorukov, and Yu. S. Kivshar, “Multistep parametric processes in nonlinear optics” Prog. Opt. 47, 1–73 (2005).
[Crossref]

Pure Appl. Opt. (1)

M. S. Soskin and M. V. Vasnetsov, “Nonlinear singular optics,” Pure Appl. Opt. 7, 301–311 (1998).
[Crossref]

Rev. Mod. Phys. (1)

E. B. Sonin, “Vortex oscillations and hydrodynamics of rotating superfluids,” Rev. Mod. Phys. 59, 87–155 (1987).
[Crossref]

Other (5)

Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, 2003).

A. E. Siegman, Lasers (University Science Books, Sausalito, Calif., 1986), p. 1283.

SNLO nonlinear optics code available from A. V. Smith, Sandia National Laboratories, Albuquerque, NM87185-1423.

J. F. Reintjes, Nonlinear Optical Parametric Processes in Liquids and Gasses (Academic Press, New York, 1984).

D. N. Nikogosyan, Properties of Optical and Laser-Related Materials: A Handbook (Wiley, Chichester, UK, 1997).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (9)

Fig. 1.
Fig. 1. Experimental arrangement (top) and absorption of the Fe:LiNbO3 crystal (bottom). Solid and dashed lines indicate the FF and SH wavelengths corresponding to the three different cases in the experiment. CHG: computer generated hologram, L: focusing lens.

Download Full Size | PPT Slide | PDF

Fig. 2.
Fig. 2. (a) Calculated [64] pulse profiles of the FF (solid line) and SH (dashed line) normalized to their maximum intensity at the crystal output. (b) Average power of the ordinary and extraordinary second harmonic [SH(o) and SH(e), respectively] vs. angle of rotation of the FF beam polarization. Focusing by f=50mm lens, l cryst=3 mm. Specific polarization components of interacting waves are marked with vertical lines. Solid lines: spline to the experimental points.

Download Full Size | PPT Slide | PDF

Fig. 3.
Fig. 3. Far-field FF (upper row) and SH beam patterns (lower row) vs. time: Gaussian input FF beam. Type of interaction: (a) ee-e; (b) oo-e.

Download Full Size | PPT Slide | PDF

Fig. 4.
Fig. 4. SH far-field (upper row) and near field (lower row) energy density distributions of the OV beam at an initial (a,d), intermediate (b,e), and final evolution stages (c,f). The arrows indicate the position of the two vortices.

Download Full Size | PPT Slide | PDF

Fig. 5.
Fig. 5. (a) Calculated [64] pulse profiles of the FF (solid line) and SH (dashed line) normalized to their maximum intensity at the crystal output. (b) Average power of the extra-ordinary second harmonic vs. angle of rotation of the FF beam polarization. Focusing by f=38mm lens; l cryst=3 mm). Specific polarization components of interacting waves are marked with vertical lines. Solid line: spline to experimental points.

Download Full Size | PPT Slide | PDF

Fig. 6.
Fig. 6. Growth of the SH(e) mean power with time. Type of interaction: (oo-e). Gaussian FF beam is focused in (a) the center of the sample (l cryst=15 mm), on its input (b), and output facets (c) with a f=38mm AR-coated lens.

Download Full Size | PPT Slide | PDF

Fig. 7.
Fig. 7. Rotation of the SH(e) OV pair with time: Input polarisation at 45° with respect to the c-axis. l cryst=15 mm; focusing by f=38mm lens. Inset: initial (left; t=0) and stationary SH pattern (right; t=30 min).

Download Full Size | PPT Slide | PDF

Fig. 8.
Fig. 8. (a) Normalized spectral width Δλ (z/LD )/ΔλMAX of the SH pulses (diamonds – experimental data, solid curve – sigmoidal fit) and normalized FF beam spectral broadening ω(z/LD )/ω 0 (dashed) vs. crystal position. (b,c) SH spectra of the OV pulses at different positions of the LiNbO3 crystal. ΔλMAX =24 nm (full width at 1/e intensity level) at x=0, whereas Δλ=17.5 and 10.5 nm at crystal positions z=0.7LD and 3LD , respectively.

Download Full Size | PPT Slide | PDF

Fig. 9.
Fig. 9. (a) Rotation angle of a OV pair vs. crystal position. Squares - experimental data, dashed curve - sigmoidal fit. Solid curve - calculated rotation angle due to linear Guoy phase shift only. (b) Projection of the vortex trajectories onto the CCD camera. Lower row: experimental far-field images corresponding to the points on the graph marked with circles.

Download Full Size | PPT Slide | PDF

Tables (1)

Tables Icon

Table 1. Parameters of the lasers and the Fe3+:LiNbO3 crystal. GVM - group velocity mismatch, SOD - second order dispersion.

View Table

Equations (1)

Equations on this page are rendered with MathJax. Learn more.

σ ( λ ) = exp [ − ln ( 2 ) ( λ − λ b ) 2 λ w 2 ] ,

Metrics