Abstract

We demonstrate self-trapped laser beams carrying phase singularities in nematic liquid crystals. We experimentally observe the astigmatic transformation of vortex beams into spiraling dipole azimuthons accompanied by power-dependent charge-flipping of the on-axis phase singularity. The latter topological reactions involve triplets of vortex lines and resemble pitchfork bifurcations.

© 2011 Optical Society of America

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  1. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, 2003).
  2. J. F. Nye and M. V. Berry, “Dislocations in wave trains,” Proc. R. Soc. London A 336, 165–190 (1974).
    [Crossref]
  3. M. S. Soskin and M. V. Vasnetsov, “Singular optics,” Prog. Opt. 42, 219–276 (2001).
    [Crossref]
  4. M. R. Dennis, K. O’Holleran, and M. J. Padgett, “Singular optics: optical vortices and polarization singularities,” Prog. Opt. 52, 293–363 (2009).
    [Crossref]
  5. A. S. Desyatnikov, Yu. S. Kivshar, and L. Torner, “Optical vortices and vortex solitons,” Prog. Opt. 47, 291–391 (2005).
    [Crossref]
  6. A. S. Desyatnikov and Yu. S. Kivshar, “Rotating optical soliton clusters,” Phys. Rev. Lett. 88, 053901 (2002).
    [Crossref] [PubMed]
  7. A. S. Desyatnikov, A. A. Sukhorukov, and Yu. S. Kivshar, “Azimuthons: spatially modulated vortex solitons,” Phys. Rev. Lett. 95, 203904 (2005).
    [Crossref] [PubMed]
  8. D. Briedis, D. Petersen, D. Edmundson, W. Krolikowski, and O. Bang, “Ring vortex solitons in nonlocal nonlinear media,” Opt. Express 13, 435–443 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-13-2-435 .
    [Crossref] [PubMed]
  9. A. I. Yakimenko, Yu. A. Zaliznyak, and Yu. S. Kivshar, “Stable vortex solitons in nonlocal self-focusing nonlinear media,” Phys. Rev. E 71, 065603 (2005).
    [Crossref]
  10. S. Lopez-Aguayo, A. S. Desyatnikov, Yu. S. Kivshar, S. Skupin, W. Krolikowski, and O. Bang, “Stable rotating dipole solitons in nonlocal optical media,” Opt. Lett. 31, 1100–1102 (2006).
    [Crossref] [PubMed]
  11. S. Lopez-Aguayo, A. S. Desyatnikov, and Yu. S. Kivshar, “Azimuthons in nonlocal nonlinear media,” Opt. Express 14, 7903–7908 (2006), http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-14-17-7903 .
    [Crossref] [PubMed]
  12. S. Skupin, O. Bang, D. Edmundson, and W. Krolikowski, “Stability of two-dimensional spatial solitons in nonlocal nonlinear media,” Phys. Rev. E 73, 066603 (2006).
    [Crossref]
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    [Crossref]
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  15. S. Skupin, M. Saffman, and W. Krolikowski, “Nonlocal stabilization of nonlinear beams in a self-focusing atomic vapor,” Phys. Rev. Lett. 98, 263902 (2007).
    [Crossref] [PubMed]
  16. F. Maucher, D. Buccoliero, S. Skupin, M. Grech, A. S. Desyatnikov, and W. Krolikowski, “Tracking azimuthons in nonlocal nonlinear media,” Opt. Quantum Electron. 41, 337–348 (2009).
    [Crossref]
  17. Y. V. Kartashov, V. V. Vysloukh, and L. Torner, “Stability of vortex solitons in thermal nonlinear media,” Opt. Express 15, 9378–9384 (2007), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-15-9378 .
    [Crossref] [PubMed]
  18. F. Ye, Y. V. Kartashov, and L. Torner , “Stabilization of dipole solitons in nonlocal nonlinear media,” Phys. Rev. A 77, 043821 (2008).
    [Crossref]
  19. D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Boundary effects on the dynamics of higher-order optical spatial solitons in nonlocal thermal media,” J. Opt. A 11, 094014 (2009).
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    [Crossref]
  22. D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Laguerre and Hermite soliton clusters in nonlocal nonlinear media,” Phys. Rev. Lett. 98, 053901 (2007).
    [Crossref] [PubMed]
  23. D. Buccoliero and A. S. Desyatnikov, “Quasi-periodic transformations of nonlocal spatial solitons,” Opt. Express 17, 9608–9613 (2009), http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-17-12-9608 .
    [Crossref] [PubMed]
  24. C. Rotschild, O. Cohen, O. Manela, Tal Carmon, and M. Segev, “Solitons in nonlinear media with an infinite range of nonlocality: first observation of coherent elliptic solitons and of vortex-ring solitons,” Phys. Rev. Lett. 95, 213904 (2005).
    [Crossref] [PubMed]
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  26. A. Minovich, D. N. Neshev, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Observation of optical azimuthons,” Opt. Express 17, 23610–23616 (2009), http://www.opticsinfobase.org/abstract.cfm?URI=oe-17-26-23610 .
    [Crossref]
  27. C. Conti, M. Peccianti, and G. Assanto, “Route to nonlocality and observation of accessible solitons,” Phys. Rev. Lett. 91, 073901 (2003).
    [Crossref] [PubMed]
  28. C. Conti, M. Peccianti, and G. Assanto, “Observation of optical spatial solitons in a highly nonlocal medium,” Phys. Rev. Lett. 92, 113902 (2004).
    [Crossref] [PubMed]
  29. G. Assanto and M. Karpierz, “Nematicons: self-localized beams in nematic liquid crystals,” Liq. Cryst. 36, 1161–1172 (2009).
    [Crossref]
  30. A. Fratalocchi, M. Peccianti, C. Conti, and G. Assanto, “Spiraling and cyclic dynamics of nematicons,” Mol. Cryst. Liq. Cryst. 421, 197–207 (2004).
    [Crossref]
  31. A. Fratalocchi, A. Piccardi, M. Peccianti, and G. Assanto, “Nonlinearly controlled angular momentum of soliton clusters,” Opt. Lett. 32, 1447–1449 (2007).
    [Crossref] [PubMed]
  32. A. Fratalocchi, A. Piccardi, M. Peccianti, and G. Assanto, “Nonlinear management of the angular momentum of soliton clusters: Theory and experiment,” Phys. Rev. A 75, 063835 (2007).
    [Crossref]
  33. Y. V. Izdebskaya, V. G. Shvedov, A. S. Desyatnikov, W. Z. Krolikowski, M. Belic, G. Assanto, and Yu. S. Kivshar, “Counterpropagating nematicons in bias-free liquid crystals,” Opt. Express 18, 3258–3263 (2010), http://www.opticsinfobase.org/abstract.cfm?URI=oe-18-4-3258 .
    [Crossref] [PubMed]
  34. Y. V. Izdebskaya, V. G. Shvedov, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Soliton bending and routing induced by interaction with curved surfaces in nematic liquid crystals,” Opt. Lett. 35, 1692–1694 (2010).
    [Crossref] [PubMed]
  35. Y. V. Izdebskaya, A. S. Desyatnikov, G. Assanto, and Yu. S. Kivshar, “Multimode nematicon waveguides,” Opt. Lett. 36, 184–186 (2011).
    [Crossref] [PubMed]
  36. E. Abramochkin and V. Volostnikov, “Beam transformations and nontransformed beams,” Opt. Commun. 83, 123–135 (1991).
    [Crossref]
  37. V. Denisenko, V. Shvedov, A. S. Desyatnikov, D. Neshev, W. Krolikowski, A. Volyar, M. Soskin, and Y. S. Kivshar, “Determination of topological charges of polychromatic optical vortices,” Opt. Express 17, 23374–23379 (2009), http://www.opticsinfobase.org/abstract.cfm?URI=oe-17-26-23374 .
    [Crossref]
  38. J. Beeckman, K. Neyts, X. Hutsebaut, C. Cambournac, and M. Haelterman , “Simulations and experiments on self-focusing conditions in nematic liquid-crystal planar cells,” Opt. Express 12, 1011–1018 (2004), http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-6-1011 .
    [Crossref] [PubMed]
  39. A. Snyder and J. Mitchell, “Accessible solitons,” Science 276, 1538–1541 (1997).
    [Crossref]
  40. M. Peccianti, A. Fratalocchi, and G. Assanto, “Transverse dynamics of Nematicons,” Opt. Express 12, 6524–6529 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-26-6524 .
    [Crossref] [PubMed]
  41. W. Krolikowski, E. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, “Observation of dipole-mode vector solitons,” Phys. Rev. Lett. 85, 1424 (2000).
    [Crossref] [PubMed]
  42. T. Carmon, R. Uzdin, C. Pigier, Z. H. Musslimani, M. Segev, and A. Nepomnyashchy, “Rotating propeller solitons,” Phys. Rev. Lett. 87, 143901 (2001).
    [Crossref] [PubMed]
  43. D. Neshev, G. McCarthy, W. Krolikowski, E. A. Ostrovskaya, Yu. S. Kivshar, G. F. Calvo, and F. Agullo-Lopez, “Dipole-mode vector solitons in anisotropic nonlocal self-focusing media,” Opt. Lett. 26, 1185–1187 (2001).
    [Crossref]
  44. G. Molina-Terriza, E. M. Wright, and L. Torner, “Propagation and control of noncanonical optical vortices,” Opt. Lett. 26, 163–165 (2001).
    [Crossref]
  45. G. Molina-Terriza, J. Recolons, J. P. Torres, and L. Torner, “Observation of the dynamical inversion of the topological charge of an optical vortex,” Phys. Rev. Lett. 87, 023902 (2001).
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  47. A. Ya. Bekshaev, M. V. Vasnetsov, V. G. Denisenko, and M. S. Soskin, “Transformation of the orbital angular momentum of a beam with optical vortex in an astigmatic optical system,” JETP Lett. 75, 127–130 (2002).
    [Crossref]
  48. A. V. Carpentier, A. V. Carpentier, H. Michinel, J. R. Salgueiro, S. Doval, and A. Ferrando, “Inversion of a guided optical vortex,” J. Europ. Opt. Soc. 1, 06031 (2006).
  49. J. J. García-Ripoll, G. Molina-Terriza, V. M. Perez-Garcia, and L. Torner, “Structural instability of vortices in Bose-Einstein condensates,” Phys. Rev. Lett. 87, 140403 (2001).
    [Crossref] [PubMed]
  50. G. Molina-Terriza, J. Recolons, and L. Torner, “The curious arithmetic of optical vortices,” Opt. Lett. 25, 1135–1137 (2000).
    [Crossref]
  51. A. Bezryadina, D. N. Neshev, A. S. Desyatnikov, J. Young, Z. G. Chen, and Yu. S. Kivshar, “Observation of topological transformations of optical vortices in two-dimensional photonic lattices,” Opt. Express 14, 8317–8327 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-18-8317 .
    [Crossref] [PubMed]
  52. P. L. Ramazza, U. Bortolozzo, and L. Pastur, “Phase singularities in triangular dissipative solitons,” J. Opt. A 6S266–S270 (2004).
  53. N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, “Curvilinear motion of multivortex laser-soliton complexes with strong and weak coupling,” Phys. Rev. Lett. 95, 053903 (2005).
    [Crossref] [PubMed]
  54. F. Haudin, R. G. Rojas, U. Bortolozzo, M. G. Clerc, and S. Residori, “Vortex emission accompanies the advection of optical localized structures,” Phys. Rev. Lett. 106, 063901 (2011).
    [Crossref] [PubMed]
  55. G. Roumpos, M. D. Fraser, A. Löffler, S. Höfling, A. Forchel, and Y. Yamamoto, “Single vortex-antivortex pair in an exciton-polariton condensate,” Nat. Phys. 7, 129 (2011).
    [Crossref]

2011 (3)

F. Haudin, R. G. Rojas, U. Bortolozzo, M. G. Clerc, and S. Residori, “Vortex emission accompanies the advection of optical localized structures,” Phys. Rev. Lett. 106, 063901 (2011).
[Crossref] [PubMed]

G. Roumpos, M. D. Fraser, A. Löffler, S. Höfling, A. Forchel, and Y. Yamamoto, “Single vortex-antivortex pair in an exciton-polariton condensate,” Nat. Phys. 7, 129 (2011).
[Crossref]

Y. V. Izdebskaya, A. S. Desyatnikov, G. Assanto, and Yu. S. Kivshar, “Multimode nematicon waveguides,” Opt. Lett. 36, 184–186 (2011).
[Crossref] [PubMed]

2010 (3)

2009 (7)

F. Maucher, D. Buccoliero, S. Skupin, M. Grech, A. S. Desyatnikov, and W. Krolikowski, “Tracking azimuthons in nonlocal nonlinear media,” Opt. Quantum Electron. 41, 337–348 (2009).
[Crossref]

M. R. Dennis, K. O’Holleran, and M. J. Padgett, “Singular optics: optical vortices and polarization singularities,” Prog. Opt. 52, 293–363 (2009).
[Crossref]

D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Boundary effects on the dynamics of higher-order optical spatial solitons in nonlocal thermal media,” J. Opt. A 11, 094014 (2009).

G. Assanto and M. Karpierz, “Nematicons: self-localized beams in nematic liquid crystals,” Liq. Cryst. 36, 1161–1172 (2009).
[Crossref]

D. Buccoliero and A. S. Desyatnikov, “Quasi-periodic transformations of nonlocal spatial solitons,” Opt. Express 17, 9608–9613 (2009), http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-17-12-9608 .
[Crossref] [PubMed]

V. Denisenko, V. Shvedov, A. S. Desyatnikov, D. Neshev, W. Krolikowski, A. Volyar, M. Soskin, and Y. S. Kivshar, “Determination of topological charges of polychromatic optical vortices,” Opt. Express 17, 23374–23379 (2009), http://www.opticsinfobase.org/abstract.cfm?URI=oe-17-26-23374 .
[Crossref]

A. Minovich, D. N. Neshev, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Observation of optical azimuthons,” Opt. Express 17, 23610–23616 (2009), http://www.opticsinfobase.org/abstract.cfm?URI=oe-17-26-23610 .
[Crossref]

2008 (1)

F. Ye, Y. V. Kartashov, and L. Torner , “Stabilization of dipole solitons in nonlocal nonlinear media,” Phys. Rev. A 77, 043821 (2008).
[Crossref]

2007 (6)

V. M. Lashkin, A. I. Yakimenko, and O. O. Prikhodko, “Two-dimensional nonlocal multisolitons,” Phys. Rev. A 366, 422–427 (2007).

S. Skupin, M. Saffman, and W. Krolikowski, “Nonlocal stabilization of nonlinear beams in a self-focusing atomic vapor,” Phys. Rev. Lett. 98, 263902 (2007).
[Crossref] [PubMed]

D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Laguerre and Hermite soliton clusters in nonlocal nonlinear media,” Phys. Rev. Lett. 98, 053901 (2007).
[Crossref] [PubMed]

A. Fratalocchi, A. Piccardi, M. Peccianti, and G. Assanto, “Nonlinear management of the angular momentum of soliton clusters: Theory and experiment,” Phys. Rev. A 75, 063835 (2007).
[Crossref]

Y. V. Kartashov, V. V. Vysloukh, and L. Torner, “Stability of vortex solitons in thermal nonlinear media,” Opt. Express 15, 9378–9384 (2007), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-15-9378 .
[Crossref] [PubMed]

A. Fratalocchi, A. Piccardi, M. Peccianti, and G. Assanto, “Nonlinearly controlled angular momentum of soliton clusters,” Opt. Lett. 32, 1447–1449 (2007).
[Crossref] [PubMed]

2006 (7)

2005 (6)

A. S. Desyatnikov, A. A. Sukhorukov, and Yu. S. Kivshar, “Azimuthons: spatially modulated vortex solitons,” Phys. Rev. Lett. 95, 203904 (2005).
[Crossref] [PubMed]

A. I. Yakimenko, Yu. A. Zaliznyak, and Yu. S. Kivshar, “Stable vortex solitons in nonlocal self-focusing nonlinear media,” Phys. Rev. E 71, 065603 (2005).
[Crossref]

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

C. Rotschild, O. Cohen, O. Manela, Tal Carmon, and M. Segev, “Solitons in nonlinear media with an infinite range of nonlocality: first observation of coherent elliptic solitons and of vortex-ring solitons,” Phys. Rev. Lett. 95, 213904 (2005).
[Crossref] [PubMed]

N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, “Curvilinear motion of multivortex laser-soliton complexes with strong and weak coupling,” Phys. Rev. Lett. 95, 053903 (2005).
[Crossref] [PubMed]

D. Briedis, D. Petersen, D. Edmundson, W. Krolikowski, and O. Bang, “Ring vortex solitons in nonlocal nonlinear media,” Opt. Express 13, 435–443 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-13-2-435 .
[Crossref] [PubMed]

2004 (5)

J. Beeckman, K. Neyts, X. Hutsebaut, C. Cambournac, and M. Haelterman , “Simulations and experiments on self-focusing conditions in nematic liquid-crystal planar cells,” Opt. Express 12, 1011–1018 (2004), http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-6-1011 .
[Crossref] [PubMed]

P. L. Ramazza, U. Bortolozzo, and L. Pastur, “Phase singularities in triangular dissipative solitons,” J. Opt. A 6S266–S270 (2004).

A. Fratalocchi, M. Peccianti, C. Conti, and G. Assanto, “Spiraling and cyclic dynamics of nematicons,” Mol. Cryst. Liq. Cryst. 421, 197–207 (2004).
[Crossref]

C. Conti, M. Peccianti, and G. Assanto, “Observation of optical spatial solitons in a highly nonlocal medium,” Phys. Rev. Lett. 92, 113902 (2004).
[Crossref] [PubMed]

M. Peccianti, A. Fratalocchi, and G. Assanto, “Transverse dynamics of Nematicons,” Opt. Express 12, 6524–6529 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-26-6524 .
[Crossref] [PubMed]

2003 (1)

C. Conti, M. Peccianti, and G. Assanto, “Route to nonlocality and observation of accessible solitons,” Phys. Rev. Lett. 91, 073901 (2003).
[Crossref] [PubMed]

2002 (2)

A. S. Desyatnikov and Yu. S. Kivshar, “Rotating optical soliton clusters,” Phys. Rev. Lett. 88, 053901 (2002).
[Crossref] [PubMed]

A. Ya. Bekshaev, M. V. Vasnetsov, V. G. Denisenko, and M. S. Soskin, “Transformation of the orbital angular momentum of a beam with optical vortex in an astigmatic optical system,” JETP Lett. 75, 127–130 (2002).
[Crossref]

2001 (6)

J. J. García-Ripoll, G. Molina-Terriza, V. M. Perez-Garcia, and L. Torner, “Structural instability of vortices in Bose-Einstein condensates,” Phys. Rev. Lett. 87, 140403 (2001).
[Crossref] [PubMed]

T. Carmon, R. Uzdin, C. Pigier, Z. H. Musslimani, M. Segev, and A. Nepomnyashchy, “Rotating propeller solitons,” Phys. Rev. Lett. 87, 143901 (2001).
[Crossref] [PubMed]

G. Molina-Terriza, J. Recolons, J. P. Torres, and L. Torner, “Observation of the dynamical inversion of the topological charge of an optical vortex,” Phys. Rev. Lett. 87, 023902 (2001).
[Crossref]

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

D. Neshev, G. McCarthy, W. Krolikowski, E. A. Ostrovskaya, Yu. S. Kivshar, G. F. Calvo, and F. Agullo-Lopez, “Dipole-mode vector solitons in anisotropic nonlocal self-focusing media,” Opt. Lett. 26, 1185–1187 (2001).
[Crossref]

G. Molina-Terriza, E. M. Wright, and L. Torner, “Propagation and control of noncanonical optical vortices,” Opt. Lett. 26, 163–165 (2001).
[Crossref]

2000 (2)

G. Molina-Terriza, J. Recolons, and L. Torner, “The curious arithmetic of optical vortices,” Opt. Lett. 25, 1135–1137 (2000).
[Crossref]

W. Krolikowski, E. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, “Observation of dipole-mode vector solitons,” Phys. Rev. Lett. 85, 1424 (2000).
[Crossref] [PubMed]

1998 (1)

1997 (1)

A. Snyder and J. Mitchell, “Accessible solitons,” Science 276, 1538–1541 (1997).
[Crossref]

1991 (1)

E. Abramochkin and V. Volostnikov, “Beam transformations and nontransformed beams,” Opt. Commun. 83, 123–135 (1991).
[Crossref]

1974 (1)

J. F. Nye and M. V. Berry, “Dislocations in wave trains,” Proc. R. Soc. London A 336, 165–190 (1974).
[Crossref]

Abramochkin, E.

E. Abramochkin and V. Volostnikov, “Beam transformations and nontransformed beams,” Opt. Commun. 83, 123–135 (1991).
[Crossref]

Agrawal, G. P.

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

Agullo-Lopez, F.

Assanto, G.

Y. V. Izdebskaya, A. S. Desyatnikov, G. Assanto, and Yu. S. Kivshar, “Multimode nematicon waveguides,” Opt. Lett. 36, 184–186 (2011).
[Crossref] [PubMed]

Y. V. Izdebskaya, V. G. Shvedov, A. S. Desyatnikov, W. Z. Krolikowski, M. Belic, G. Assanto, and Yu. S. Kivshar, “Counterpropagating nematicons in bias-free liquid crystals,” Opt. Express 18, 3258–3263 (2010), http://www.opticsinfobase.org/abstract.cfm?URI=oe-18-4-3258 .
[Crossref] [PubMed]

G. Assanto and M. Karpierz, “Nematicons: self-localized beams in nematic liquid crystals,” Liq. Cryst. 36, 1161–1172 (2009).
[Crossref]

A. Fratalocchi, A. Piccardi, M. Peccianti, and G. Assanto, “Nonlinear management of the angular momentum of soliton clusters: Theory and experiment,” Phys. Rev. A 75, 063835 (2007).
[Crossref]

A. Fratalocchi, A. Piccardi, M. Peccianti, and G. Assanto, “Nonlinearly controlled angular momentum of soliton clusters,” Opt. Lett. 32, 1447–1449 (2007).
[Crossref] [PubMed]

M. Peccianti, A. Fratalocchi, and G. Assanto, “Transverse dynamics of Nematicons,” Opt. Express 12, 6524–6529 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-26-6524 .
[Crossref] [PubMed]

A. Fratalocchi, M. Peccianti, C. Conti, and G. Assanto, “Spiraling and cyclic dynamics of nematicons,” Mol. Cryst. Liq. Cryst. 421, 197–207 (2004).
[Crossref]

C. Conti, M. Peccianti, and G. Assanto, “Observation of optical spatial solitons in a highly nonlocal medium,” Phys. Rev. Lett. 92, 113902 (2004).
[Crossref] [PubMed]

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D. Buccoliero and A. S. Desyatnikov, “Quasi-periodic transformations of nonlocal spatial solitons,” Opt. Express 17, 9608–9613 (2009), http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-17-12-9608 .
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F. Maucher, D. Buccoliero, S. Skupin, M. Grech, A. S. Desyatnikov, and W. Krolikowski, “Tracking azimuthons in nonlocal nonlinear media,” Opt. Quantum Electron. 41, 337–348 (2009).
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D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Boundary effects on the dynamics of higher-order optical spatial solitons in nonlocal thermal media,” J. Opt. A 11, 094014 (2009).

D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Laguerre and Hermite soliton clusters in nonlocal nonlinear media,” Phys. Rev. Lett. 98, 053901 (2007).
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A. V. Carpentier, A. V. Carpentier, H. Michinel, J. R. Salgueiro, S. Doval, and A. Ferrando, “Inversion of a guided optical vortex,” J. Europ. Opt. Soc. 1, 06031 (2006).

A. V. Carpentier, A. V. Carpentier, H. Michinel, J. R. Salgueiro, S. Doval, and A. Ferrando, “Inversion of a guided optical vortex,” J. Europ. Opt. Soc. 1, 06031 (2006).

Chen, Z. G.

Clerc, M. G.

F. Haudin, R. G. Rojas, U. Bortolozzo, M. G. Clerc, and S. Residori, “Vortex emission accompanies the advection of optical localized structures,” Phys. Rev. Lett. 106, 063901 (2011).
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C. Conti, M. Peccianti, and G. Assanto, “Observation of optical spatial solitons in a highly nonlocal medium,” Phys. Rev. Lett. 92, 113902 (2004).
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A. Fratalocchi, M. Peccianti, C. Conti, and G. Assanto, “Spiraling and cyclic dynamics of nematicons,” Mol. Cryst. Liq. Cryst. 421, 197–207 (2004).
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C. Conti, M. Peccianti, and G. Assanto, “Route to nonlocality and observation of accessible solitons,” Phys. Rev. Lett. 91, 073901 (2003).
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Denisenko, V. G.

A. Ya. Bekshaev, M. V. Vasnetsov, V. G. Denisenko, and M. S. Soskin, “Transformation of the orbital angular momentum of a beam with optical vortex in an astigmatic optical system,” JETP Lett. 75, 127–130 (2002).
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Y. V. Izdebskaya, A. S. Desyatnikov, G. Assanto, and Yu. S. Kivshar, “Multimode nematicon waveguides,” Opt. Lett. 36, 184–186 (2011).
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Y. V. Izdebskaya, V. G. Shvedov, A. S. Desyatnikov, W. Z. Krolikowski, M. Belic, G. Assanto, and Yu. S. Kivshar, “Counterpropagating nematicons in bias-free liquid crystals,” Opt. Express 18, 3258–3263 (2010), http://www.opticsinfobase.org/abstract.cfm?URI=oe-18-4-3258 .
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Y. V. Izdebskaya, V. G. Shvedov, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Soliton bending and routing induced by interaction with curved surfaces in nematic liquid crystals,” Opt. Lett. 35, 1692–1694 (2010).
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A. Minovich, D. N. Neshev, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Observation of optical azimuthons,” Opt. Express 17, 23610–23616 (2009), http://www.opticsinfobase.org/abstract.cfm?URI=oe-17-26-23610 .
[Crossref]

D. Buccoliero and A. S. Desyatnikov, “Quasi-periodic transformations of nonlocal spatial solitons,” Opt. Express 17, 9608–9613 (2009), http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-17-12-9608 .
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V. Denisenko, V. Shvedov, A. S. Desyatnikov, D. Neshev, W. Krolikowski, A. Volyar, M. Soskin, and Y. S. Kivshar, “Determination of topological charges of polychromatic optical vortices,” Opt. Express 17, 23374–23379 (2009), http://www.opticsinfobase.org/abstract.cfm?URI=oe-17-26-23374 .
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F. Maucher, D. Buccoliero, S. Skupin, M. Grech, A. S. Desyatnikov, and W. Krolikowski, “Tracking azimuthons in nonlocal nonlinear media,” Opt. Quantum Electron. 41, 337–348 (2009).
[Crossref]

D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Boundary effects on the dynamics of higher-order optical spatial solitons in nonlocal thermal media,” J. Opt. A 11, 094014 (2009).

D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Laguerre and Hermite soliton clusters in nonlocal nonlinear media,” Phys. Rev. Lett. 98, 053901 (2007).
[Crossref] [PubMed]

A. Bezryadina, D. N. Neshev, A. S. Desyatnikov, J. Young, Z. G. Chen, and Yu. S. Kivshar, “Observation of topological transformations of optical vortices in two-dimensional photonic lattices,” Opt. Express 14, 8317–8327 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-18-8317 .
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S. Lopez-Aguayo, A. S. Desyatnikov, and Yu. S. Kivshar, “Azimuthons in nonlocal nonlinear media,” Opt. Express 14, 7903–7908 (2006), http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-14-17-7903 .
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S. Lopez-Aguayo, A. S. Desyatnikov, Yu. S. Kivshar, S. Skupin, W. Krolikowski, and O. Bang, “Stable rotating dipole solitons in nonlocal optical media,” Opt. Lett. 31, 1100–1102 (2006).
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A. S. Desyatnikov, Yu. S. Kivshar, and L. Torner, “Optical vortices and vortex solitons,” Prog. Opt. 47, 291–391 (2005).
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A. S. Desyatnikov, A. A. Sukhorukov, and Yu. S. Kivshar, “Azimuthons: spatially modulated vortex solitons,” Phys. Rev. Lett. 95, 203904 (2005).
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A. S. Desyatnikov and Yu. S. Kivshar, “Rotating optical soliton clusters,” Phys. Rev. Lett. 88, 053901 (2002).
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A. V. Carpentier, A. V. Carpentier, H. Michinel, J. R. Salgueiro, S. Doval, and A. Ferrando, “Inversion of a guided optical vortex,” J. Europ. Opt. Soc. 1, 06031 (2006).

Edmundson, D.

S. Skupin, O. Bang, D. Edmundson, and W. Krolikowski, “Stability of two-dimensional spatial solitons in nonlocal nonlinear media,” Phys. Rev. E 73, 066603 (2006).
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D. Briedis, D. Petersen, D. Edmundson, W. Krolikowski, and O. Bang, “Ring vortex solitons in nonlocal nonlinear media,” Opt. Express 13, 435–443 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-13-2-435 .
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G. Roumpos, M. D. Fraser, A. Löffler, S. Höfling, A. Forchel, and Y. Yamamoto, “Single vortex-antivortex pair in an exciton-polariton condensate,” Nat. Phys. 7, 129 (2011).
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A. Fratalocchi, M. Peccianti, C. Conti, and G. Assanto, “Spiraling and cyclic dynamics of nematicons,” Mol. Cryst. Liq. Cryst. 421, 197–207 (2004).
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F. Maucher, D. Buccoliero, S. Skupin, M. Grech, A. S. Desyatnikov, and W. Krolikowski, “Tracking azimuthons in nonlocal nonlinear media,” Opt. Quantum Electron. 41, 337–348 (2009).
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Haudin, F.

F. Haudin, R. G. Rojas, U. Bortolozzo, M. G. Clerc, and S. Residori, “Vortex emission accompanies the advection of optical localized structures,” Phys. Rev. Lett. 106, 063901 (2011).
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Y. V. Izdebskaya, A. S. Desyatnikov, G. Assanto, and Yu. S. Kivshar, “Multimode nematicon waveguides,” Opt. Lett. 36, 184–186 (2011).
[Crossref] [PubMed]

Y. V. Izdebskaya, V. G. Shvedov, A. S. Desyatnikov, W. Z. Krolikowski, M. Belic, G. Assanto, and Yu. S. Kivshar, “Counterpropagating nematicons in bias-free liquid crystals,” Opt. Express 18, 3258–3263 (2010), http://www.opticsinfobase.org/abstract.cfm?URI=oe-18-4-3258 .
[Crossref] [PubMed]

Y. V. Izdebskaya, V. G. Shvedov, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Soliton bending and routing induced by interaction with curved surfaces in nematic liquid crystals,” Opt. Lett. 35, 1692–1694 (2010).
[Crossref] [PubMed]

A. Minovich, D. N. Neshev, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Observation of optical azimuthons,” Opt. Express 17, 23610–23616 (2009), http://www.opticsinfobase.org/abstract.cfm?URI=oe-17-26-23610 .
[Crossref]

D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Boundary effects on the dynamics of higher-order optical spatial solitons in nonlocal thermal media,” J. Opt. A 11, 094014 (2009).

D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Laguerre and Hermite soliton clusters in nonlocal nonlinear media,” Phys. Rev. Lett. 98, 053901 (2007).
[Crossref] [PubMed]

A. Bezryadina, D. N. Neshev, A. S. Desyatnikov, J. Young, Z. G. Chen, and Yu. S. Kivshar, “Observation of topological transformations of optical vortices in two-dimensional photonic lattices,” Opt. Express 14, 8317–8327 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-18-8317 .
[Crossref] [PubMed]

S. Lopez-Aguayo, A. S. Desyatnikov, and Yu. S. Kivshar, “Azimuthons in nonlocal nonlinear media,” Opt. Express 14, 7903–7908 (2006), http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-14-17-7903 .
[Crossref] [PubMed]

S. Lopez-Aguayo, A. S. Desyatnikov, Yu. S. Kivshar, S. Skupin, W. Krolikowski, and O. Bang, “Stable rotating dipole solitons in nonlocal optical media,” Opt. Lett. 31, 1100–1102 (2006).
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A. I. Yakimenko, Yu. A. Zaliznyak, and Yu. S. Kivshar, “Stable vortex solitons in nonlocal self-focusing nonlinear media,” Phys. Rev. E 71, 065603 (2005).
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A. S. Desyatnikov, Yu. S. Kivshar, and L. Torner, “Optical vortices and vortex solitons,” Prog. Opt. 47, 291–391 (2005).
[Crossref]

A. S. Desyatnikov, A. A. Sukhorukov, and Yu. S. Kivshar, “Azimuthons: spatially modulated vortex solitons,” Phys. Rev. Lett. 95, 203904 (2005).
[Crossref] [PubMed]

A. S. Desyatnikov and Yu. S. Kivshar, “Rotating optical soliton clusters,” Phys. Rev. Lett. 88, 053901 (2002).
[Crossref] [PubMed]

D. Neshev, G. McCarthy, W. Krolikowski, E. A. Ostrovskaya, Yu. S. Kivshar, G. F. Calvo, and F. Agullo-Lopez, “Dipole-mode vector solitons in anisotropic nonlocal self-focusing media,” Opt. Lett. 26, 1185–1187 (2001).
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Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, 2003).

Krolikowski, W.

Y. Zhang, S. Skupin, F. Maucher, A. Pour, K. Lu, and W. Krolikowski, “Azimuthons in weakly nonlinear waveguides of different symmetries,” Opt. Express 18, 27846–27857 (2010), http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-18-26-27846 .
[Crossref]

Y. V. Izdebskaya, V. G. Shvedov, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Soliton bending and routing induced by interaction with curved surfaces in nematic liquid crystals,” Opt. Lett. 35, 1692–1694 (2010).
[Crossref] [PubMed]

A. Minovich, D. N. Neshev, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Observation of optical azimuthons,” Opt. Express 17, 23610–23616 (2009), http://www.opticsinfobase.org/abstract.cfm?URI=oe-17-26-23610 .
[Crossref]

V. Denisenko, V. Shvedov, A. S. Desyatnikov, D. Neshev, W. Krolikowski, A. Volyar, M. Soskin, and Y. S. Kivshar, “Determination of topological charges of polychromatic optical vortices,” Opt. Express 17, 23374–23379 (2009), http://www.opticsinfobase.org/abstract.cfm?URI=oe-17-26-23374 .
[Crossref]

F. Maucher, D. Buccoliero, S. Skupin, M. Grech, A. S. Desyatnikov, and W. Krolikowski, “Tracking azimuthons in nonlocal nonlinear media,” Opt. Quantum Electron. 41, 337–348 (2009).
[Crossref]

D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Boundary effects on the dynamics of higher-order optical spatial solitons in nonlocal thermal media,” J. Opt. A 11, 094014 (2009).

S. Skupin, M. Saffman, and W. Krolikowski, “Nonlocal stabilization of nonlinear beams in a self-focusing atomic vapor,” Phys. Rev. Lett. 98, 263902 (2007).
[Crossref] [PubMed]

D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Laguerre and Hermite soliton clusters in nonlocal nonlinear media,” Phys. Rev. Lett. 98, 053901 (2007).
[Crossref] [PubMed]

S. Skupin, O. Bang, D. Edmundson, and W. Krolikowski, “Stability of two-dimensional spatial solitons in nonlocal nonlinear media,” Phys. Rev. E 73, 066603 (2006).
[Crossref]

S. Lopez-Aguayo, A. S. Desyatnikov, Yu. S. Kivshar, S. Skupin, W. Krolikowski, and O. Bang, “Stable rotating dipole solitons in nonlocal optical media,” Opt. Lett. 31, 1100–1102 (2006).
[Crossref] [PubMed]

D. Briedis, D. Petersen, D. Edmundson, W. Krolikowski, and O. Bang, “Ring vortex solitons in nonlocal nonlinear media,” Opt. Express 13, 435–443 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-13-2-435 .
[Crossref] [PubMed]

D. Neshev, G. McCarthy, W. Krolikowski, E. A. Ostrovskaya, Yu. S. Kivshar, G. F. Calvo, and F. Agullo-Lopez, “Dipole-mode vector solitons in anisotropic nonlocal self-focusing media,” Opt. Lett. 26, 1185–1187 (2001).
[Crossref]

W. Krolikowski, E. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, “Observation of dipole-mode vector solitons,” Phys. Rev. Lett. 85, 1424 (2000).
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A. I. Yakimenko, V. M. Lashkin, and O. O. Prikhodko, “Dynamics of two-dimensional coherent structures in nonlocal nonlinear media,” Phys. Rev. E 73, 066605 (2006).
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Löffler, A.

G. Roumpos, M. D. Fraser, A. Löffler, S. Höfling, A. Forchel, and Y. Yamamoto, “Single vortex-antivortex pair in an exciton-polariton condensate,” Nat. Phys. 7, 129 (2011).
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Lopez-Aguayo, S.

Lu, K.

Luther-Davies, B.

W. Krolikowski, E. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, “Observation of dipole-mode vector solitons,” Phys. Rev. Lett. 85, 1424 (2000).
[Crossref] [PubMed]

Manela, O.

C. Rotschild, O. Cohen, O. Manela, Tal Carmon, and M. Segev, “Solitons in nonlinear media with an infinite range of nonlocality: first observation of coherent elliptic solitons and of vortex-ring solitons,” Phys. Rev. Lett. 95, 213904 (2005).
[Crossref] [PubMed]

Maucher, F.

Y. Zhang, S. Skupin, F. Maucher, A. Pour, K. Lu, and W. Krolikowski, “Azimuthons in weakly nonlinear waveguides of different symmetries,” Opt. Express 18, 27846–27857 (2010), http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-18-26-27846 .
[Crossref]

F. Maucher, D. Buccoliero, S. Skupin, M. Grech, A. S. Desyatnikov, and W. Krolikowski, “Tracking azimuthons in nonlocal nonlinear media,” Opt. Quantum Electron. 41, 337–348 (2009).
[Crossref]

McCarthy, G.

D. Neshev, G. McCarthy, W. Krolikowski, E. A. Ostrovskaya, Yu. S. Kivshar, G. F. Calvo, and F. Agullo-Lopez, “Dipole-mode vector solitons in anisotropic nonlocal self-focusing media,” Opt. Lett. 26, 1185–1187 (2001).
[Crossref]

W. Krolikowski, E. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, “Observation of dipole-mode vector solitons,” Phys. Rev. Lett. 85, 1424 (2000).
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McGloin, D.

Michinel, H.

A. V. Carpentier, A. V. Carpentier, H. Michinel, J. R. Salgueiro, S. Doval, and A. Ferrando, “Inversion of a guided optical vortex,” J. Europ. Opt. Soc. 1, 06031 (2006).

Minovich, A.

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T. Carmon, R. Uzdin, C. Pigier, Z. H. Musslimani, M. Segev, and A. Nepomnyashchy, “Rotating propeller solitons,” Phys. Rev. Lett. 87, 143901 (2001).
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T. Carmon, R. Uzdin, C. Pigier, Z. H. Musslimani, M. Segev, and A. Nepomnyashchy, “Rotating propeller solitons,” Phys. Rev. Lett. 87, 143901 (2001).
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Neshev, D.

Neshev, D. N.

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Ostrovskaya, E.

W. Krolikowski, E. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, “Observation of dipole-mode vector solitons,” Phys. Rev. Lett. 85, 1424 (2000).
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Ostrovskaya, E. A.

Padgett, M. J.

M. R. Dennis, K. O’Holleran, and M. J. Padgett, “Singular optics: optical vortices and polarization singularities,” Prog. Opt. 52, 293–363 (2009).
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Pastur, L.

P. L. Ramazza, U. Bortolozzo, and L. Pastur, “Phase singularities in triangular dissipative solitons,” J. Opt. A 6S266–S270 (2004).

Peccianti, M.

A. Fratalocchi, A. Piccardi, M. Peccianti, and G. Assanto, “Nonlinear management of the angular momentum of soliton clusters: Theory and experiment,” Phys. Rev. A 75, 063835 (2007).
[Crossref]

A. Fratalocchi, A. Piccardi, M. Peccianti, and G. Assanto, “Nonlinearly controlled angular momentum of soliton clusters,” Opt. Lett. 32, 1447–1449 (2007).
[Crossref] [PubMed]

M. Peccianti, A. Fratalocchi, and G. Assanto, “Transverse dynamics of Nematicons,” Opt. Express 12, 6524–6529 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-26-6524 .
[Crossref] [PubMed]

C. Conti, M. Peccianti, and G. Assanto, “Observation of optical spatial solitons in a highly nonlocal medium,” Phys. Rev. Lett. 92, 113902 (2004).
[Crossref] [PubMed]

A. Fratalocchi, M. Peccianti, C. Conti, and G. Assanto, “Spiraling and cyclic dynamics of nematicons,” Mol. Cryst. Liq. Cryst. 421, 197–207 (2004).
[Crossref]

C. Conti, M. Peccianti, and G. Assanto, “Route to nonlocality and observation of accessible solitons,” Phys. Rev. Lett. 91, 073901 (2003).
[Crossref] [PubMed]

Perez-Garcia, V. M.

J. J. García-Ripoll, G. Molina-Terriza, V. M. Perez-Garcia, and L. Torner, “Structural instability of vortices in Bose-Einstein condensates,” Phys. Rev. Lett. 87, 140403 (2001).
[Crossref] [PubMed]

Petersen, D.

Piccardi, A.

A. Fratalocchi, A. Piccardi, M. Peccianti, and G. Assanto, “Nonlinearly controlled angular momentum of soliton clusters,” Opt. Lett. 32, 1447–1449 (2007).
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A. Fratalocchi, A. Piccardi, M. Peccianti, and G. Assanto, “Nonlinear management of the angular momentum of soliton clusters: Theory and experiment,” Phys. Rev. A 75, 063835 (2007).
[Crossref]

Pigier, C.

T. Carmon, R. Uzdin, C. Pigier, Z. H. Musslimani, M. Segev, and A. Nepomnyashchy, “Rotating propeller solitons,” Phys. Rev. Lett. 87, 143901 (2001).
[Crossref] [PubMed]

Pour, A.

Prikhodko, O. O.

V. M. Lashkin, A. I. Yakimenko, and O. O. Prikhodko, “Two-dimensional nonlocal multisolitons,” Phys. Rev. A 366, 422–427 (2007).

A. I. Yakimenko, V. M. Lashkin, and O. O. Prikhodko, “Dynamics of two-dimensional coherent structures in nonlocal nonlinear media,” Phys. Rev. E 73, 066605 (2006).
[Crossref]

Ramazza, P. L.

P. L. Ramazza, U. Bortolozzo, and L. Pastur, “Phase singularities in triangular dissipative solitons,” J. Opt. A 6S266–S270 (2004).

Recolons, J.

G. Molina-Terriza, J. Recolons, J. P. Torres, and L. Torner, “Observation of the dynamical inversion of the topological charge of an optical vortex,” Phys. Rev. Lett. 87, 023902 (2001).
[Crossref]

G. Molina-Terriza, J. Recolons, and L. Torner, “The curious arithmetic of optical vortices,” Opt. Lett. 25, 1135–1137 (2000).
[Crossref]

Residori, S.

F. Haudin, R. G. Rojas, U. Bortolozzo, M. G. Clerc, and S. Residori, “Vortex emission accompanies the advection of optical localized structures,” Phys. Rev. Lett. 106, 063901 (2011).
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Rojas, R. G.

F. Haudin, R. G. Rojas, U. Bortolozzo, M. G. Clerc, and S. Residori, “Vortex emission accompanies the advection of optical localized structures,” Phys. Rev. Lett. 106, 063901 (2011).
[Crossref] [PubMed]

Rosanov, N. N.

N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, “Curvilinear motion of multivortex laser-soliton complexes with strong and weak coupling,” Phys. Rev. Lett. 95, 053903 (2005).
[Crossref] [PubMed]

Rotschild, C.

C. Rotschild, M. Segev, Z. Xu, Ya. V. Kartashov, L. Torner, and O. Cohen, “Two-dimensional multipole solitons in nonlocal nonlinear media,” Opt. Lett. 31, 3312–3314 (2006).
[Crossref] [PubMed]

C. Rotschild, O. Cohen, O. Manela, Tal Carmon, and M. Segev, “Solitons in nonlinear media with an infinite range of nonlocality: first observation of coherent elliptic solitons and of vortex-ring solitons,” Phys. Rev. Lett. 95, 213904 (2005).
[Crossref] [PubMed]

Roumpos, G.

G. Roumpos, M. D. Fraser, A. Löffler, S. Höfling, A. Forchel, and Y. Yamamoto, “Single vortex-antivortex pair in an exciton-polariton condensate,” Nat. Phys. 7, 129 (2011).
[Crossref]

Saffman, M.

S. Skupin, M. Saffman, and W. Krolikowski, “Nonlocal stabilization of nonlinear beams in a self-focusing atomic vapor,” Phys. Rev. Lett. 98, 263902 (2007).
[Crossref] [PubMed]

Salgueiro, J. R.

A. V. Carpentier, A. V. Carpentier, H. Michinel, J. R. Salgueiro, S. Doval, and A. Ferrando, “Inversion of a guided optical vortex,” J. Europ. Opt. Soc. 1, 06031 (2006).

Segev, M.

C. Rotschild, M. Segev, Z. Xu, Ya. V. Kartashov, L. Torner, and O. Cohen, “Two-dimensional multipole solitons in nonlocal nonlinear media,” Opt. Lett. 31, 3312–3314 (2006).
[Crossref] [PubMed]

C. Rotschild, O. Cohen, O. Manela, Tal Carmon, and M. Segev, “Solitons in nonlinear media with an infinite range of nonlocality: first observation of coherent elliptic solitons and of vortex-ring solitons,” Phys. Rev. Lett. 95, 213904 (2005).
[Crossref] [PubMed]

T. Carmon, R. Uzdin, C. Pigier, Z. H. Musslimani, M. Segev, and A. Nepomnyashchy, “Rotating propeller solitons,” Phys. Rev. Lett. 87, 143901 (2001).
[Crossref] [PubMed]

Shatsev, A. N.

N. N. Rosanov, S. V. Fedorov, and A. N. Shatsev, “Curvilinear motion of multivortex laser-soliton complexes with strong and weak coupling,” Phys. Rev. Lett. 95, 053903 (2005).
[Crossref] [PubMed]

Shvedov, V.

Shvedov, V. G.

Simpson, N. B.

Skupin, S.

Y. Zhang, S. Skupin, F. Maucher, A. Pour, K. Lu, and W. Krolikowski, “Azimuthons in weakly nonlinear waveguides of different symmetries,” Opt. Express 18, 27846–27857 (2010), http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-18-26-27846 .
[Crossref]

F. Maucher, D. Buccoliero, S. Skupin, M. Grech, A. S. Desyatnikov, and W. Krolikowski, “Tracking azimuthons in nonlocal nonlinear media,” Opt. Quantum Electron. 41, 337–348 (2009).
[Crossref]

S. Skupin, M. Saffman, and W. Krolikowski, “Nonlocal stabilization of nonlinear beams in a self-focusing atomic vapor,” Phys. Rev. Lett. 98, 263902 (2007).
[Crossref] [PubMed]

S. Skupin, O. Bang, D. Edmundson, and W. Krolikowski, “Stability of two-dimensional spatial solitons in nonlocal nonlinear media,” Phys. Rev. E 73, 066603 (2006).
[Crossref]

S. Lopez-Aguayo, A. S. Desyatnikov, Yu. S. Kivshar, S. Skupin, W. Krolikowski, and O. Bang, “Stable rotating dipole solitons in nonlocal optical media,” Opt. Lett. 31, 1100–1102 (2006).
[Crossref] [PubMed]

Smyth, N. F.

A. A. Minzoni, N. F. Smyth, and Z. Xu, “Stability of an optical vortex in a circular nematic cell,” Phys. Rev. A 81, 033816 (2010).
[Crossref]

Snyder, A.

A. Snyder and J. Mitchell, “Accessible solitons,” Science 276, 1538–1541 (1997).
[Crossref]

Soskin, M.

Soskin, M. S.

A. Ya. Bekshaev, M. V. Vasnetsov, V. G. Denisenko, and M. S. Soskin, “Transformation of the orbital angular momentum of a beam with optical vortex in an astigmatic optical system,” JETP Lett. 75, 127–130 (2002).
[Crossref]

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

Sukhorukov, A. A.

A. S. Desyatnikov, A. A. Sukhorukov, and Yu. S. Kivshar, “Azimuthons: spatially modulated vortex solitons,” Phys. Rev. Lett. 95, 203904 (2005).
[Crossref] [PubMed]

Torner, L.

F. Ye, Y. V. Kartashov, and L. Torner , “Stabilization of dipole solitons in nonlocal nonlinear media,” Phys. Rev. A 77, 043821 (2008).
[Crossref]

Y. V. Kartashov, V. V. Vysloukh, and L. Torner, “Stability of vortex solitons in thermal nonlinear media,” Opt. Express 15, 9378–9384 (2007), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-15-9378 .
[Crossref] [PubMed]

C. Rotschild, M. Segev, Z. Xu, Ya. V. Kartashov, L. Torner, and O. Cohen, “Two-dimensional multipole solitons in nonlocal nonlinear media,” Opt. Lett. 31, 3312–3314 (2006).
[Crossref] [PubMed]

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

G. Molina-Terriza, E. M. Wright, and L. Torner, “Propagation and control of noncanonical optical vortices,” Opt. Lett. 26, 163–165 (2001).
[Crossref]

J. J. García-Ripoll, G. Molina-Terriza, V. M. Perez-Garcia, and L. Torner, “Structural instability of vortices in Bose-Einstein condensates,” Phys. Rev. Lett. 87, 140403 (2001).
[Crossref] [PubMed]

G. Molina-Terriza, J. Recolons, J. P. Torres, and L. Torner, “Observation of the dynamical inversion of the topological charge of an optical vortex,” Phys. Rev. Lett. 87, 023902 (2001).
[Crossref]

G. Molina-Terriza, J. Recolons, and L. Torner, “The curious arithmetic of optical vortices,” Opt. Lett. 25, 1135–1137 (2000).
[Crossref]

Torres, J. P.

G. Molina-Terriza, J. Recolons, J. P. Torres, and L. Torner, “Observation of the dynamical inversion of the topological charge of an optical vortex,” Phys. Rev. Lett. 87, 023902 (2001).
[Crossref]

Uzdin, R.

T. Carmon, R. Uzdin, C. Pigier, Z. H. Musslimani, M. Segev, and A. Nepomnyashchy, “Rotating propeller solitons,” Phys. Rev. Lett. 87, 143901 (2001).
[Crossref] [PubMed]

Vasnetsov, M. V.

A. Ya. Bekshaev, M. V. Vasnetsov, V. G. Denisenko, and M. S. Soskin, “Transformation of the orbital angular momentum of a beam with optical vortex in an astigmatic optical system,” JETP Lett. 75, 127–130 (2002).
[Crossref]

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

Volostnikov, V.

E. Abramochkin and V. Volostnikov, “Beam transformations and nontransformed beams,” Opt. Commun. 83, 123–135 (1991).
[Crossref]

Volyar, A.

Vysloukh, V. V.

Weilnau, C.

W. Krolikowski, E. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, “Observation of dipole-mode vector solitons,” Phys. Rev. Lett. 85, 1424 (2000).
[Crossref] [PubMed]

Wright, E. M.

Xu, Z.

Yakimenko, A. I.

V. M. Lashkin, A. I. Yakimenko, and O. O. Prikhodko, “Two-dimensional nonlocal multisolitons,” Phys. Rev. A 366, 422–427 (2007).

A. I. Yakimenko, V. M. Lashkin, and O. O. Prikhodko, “Dynamics of two-dimensional coherent structures in nonlocal nonlinear media,” Phys. Rev. E 73, 066605 (2006).
[Crossref]

A. I. Yakimenko, Yu. A. Zaliznyak, and Yu. S. Kivshar, “Stable vortex solitons in nonlocal self-focusing nonlinear media,” Phys. Rev. E 71, 065603 (2005).
[Crossref]

Yamamoto, Y.

G. Roumpos, M. D. Fraser, A. Löffler, S. Höfling, A. Forchel, and Y. Yamamoto, “Single vortex-antivortex pair in an exciton-polariton condensate,” Nat. Phys. 7, 129 (2011).
[Crossref]

Ye, F.

F. Ye, Y. V. Kartashov, and L. Torner , “Stabilization of dipole solitons in nonlocal nonlinear media,” Phys. Rev. A 77, 043821 (2008).
[Crossref]

Young, J.

Zaliznyak, Yu. A.

A. I. Yakimenko, Yu. A. Zaliznyak, and Yu. S. Kivshar, “Stable vortex solitons in nonlocal self-focusing nonlinear media,” Phys. Rev. E 71, 065603 (2005).
[Crossref]

Zhang, Y.

Appl. Opt. (1)

J. Europ. Opt. Soc. (1)

A. V. Carpentier, A. V. Carpentier, H. Michinel, J. R. Salgueiro, S. Doval, and A. Ferrando, “Inversion of a guided optical vortex,” J. Europ. Opt. Soc. 1, 06031 (2006).

J. Opt. A (2)

P. L. Ramazza, U. Bortolozzo, and L. Pastur, “Phase singularities in triangular dissipative solitons,” J. Opt. A 6S266–S270 (2004).

D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Boundary effects on the dynamics of higher-order optical spatial solitons in nonlocal thermal media,” J. Opt. A 11, 094014 (2009).

JETP Lett. (1)

A. Ya. Bekshaev, M. V. Vasnetsov, V. G. Denisenko, and M. S. Soskin, “Transformation of the orbital angular momentum of a beam with optical vortex in an astigmatic optical system,” JETP Lett. 75, 127–130 (2002).
[Crossref]

Liq. Cryst. (1)

G. Assanto and M. Karpierz, “Nematicons: self-localized beams in nematic liquid crystals,” Liq. Cryst. 36, 1161–1172 (2009).
[Crossref]

Mol. Cryst. Liq. Cryst. (1)

A. Fratalocchi, M. Peccianti, C. Conti, and G. Assanto, “Spiraling and cyclic dynamics of nematicons,” Mol. Cryst. Liq. Cryst. 421, 197–207 (2004).
[Crossref]

Nat. Phys. (1)

G. Roumpos, M. D. Fraser, A. Löffler, S. Höfling, A. Forchel, and Y. Yamamoto, “Single vortex-antivortex pair in an exciton-polariton condensate,” Nat. Phys. 7, 129 (2011).
[Crossref]

Opt. Commun. (1)

E. Abramochkin and V. Volostnikov, “Beam transformations and nontransformed beams,” Opt. Commun. 83, 123–135 (1991).
[Crossref]

Opt. Express (11)

Y. Zhang, S. Skupin, F. Maucher, A. Pour, K. Lu, and W. Krolikowski, “Azimuthons in weakly nonlinear waveguides of different symmetries,” Opt. Express 18, 27846–27857 (2010), http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-18-26-27846 .
[Crossref]

Y. V. Kartashov, V. V. Vysloukh, and L. Torner, “Stability of vortex solitons in thermal nonlinear media,” Opt. Express 15, 9378–9384 (2007), http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-15-9378 .
[Crossref] [PubMed]

D. Buccoliero and A. S. Desyatnikov, “Quasi-periodic transformations of nonlocal spatial solitons,” Opt. Express 17, 9608–9613 (2009), http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-17-12-9608 .
[Crossref] [PubMed]

V. Denisenko, V. Shvedov, A. S. Desyatnikov, D. Neshev, W. Krolikowski, A. Volyar, M. Soskin, and Y. S. Kivshar, “Determination of topological charges of polychromatic optical vortices,” Opt. Express 17, 23374–23379 (2009), http://www.opticsinfobase.org/abstract.cfm?URI=oe-17-26-23374 .
[Crossref]

A. Minovich, D. N. Neshev, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Observation of optical azimuthons,” Opt. Express 17, 23610–23616 (2009), http://www.opticsinfobase.org/abstract.cfm?URI=oe-17-26-23610 .
[Crossref]

Y. V. Izdebskaya, V. G. Shvedov, A. S. Desyatnikov, W. Z. Krolikowski, M. Belic, G. Assanto, and Yu. S. Kivshar, “Counterpropagating nematicons in bias-free liquid crystals,” Opt. Express 18, 3258–3263 (2010), http://www.opticsinfobase.org/abstract.cfm?URI=oe-18-4-3258 .
[Crossref] [PubMed]

J. Beeckman, K. Neyts, X. Hutsebaut, C. Cambournac, and M. Haelterman , “Simulations and experiments on self-focusing conditions in nematic liquid-crystal planar cells,” Opt. Express 12, 1011–1018 (2004), http://www.opticsinfobase.org/abstract.cfm?URI=oe-12-6-1011 .
[Crossref] [PubMed]

D. Briedis, D. Petersen, D. Edmundson, W. Krolikowski, and O. Bang, “Ring vortex solitons in nonlocal nonlinear media,” Opt. Express 13, 435–443 (2005), http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-13-2-435 .
[Crossref] [PubMed]

M. Peccianti, A. Fratalocchi, and G. Assanto, “Transverse dynamics of Nematicons,” Opt. Express 12, 6524–6529 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-26-6524 .
[Crossref] [PubMed]

S. Lopez-Aguayo, A. S. Desyatnikov, and Yu. S. Kivshar, “Azimuthons in nonlocal nonlinear media,” Opt. Express 14, 7903–7908 (2006), http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-14-17-7903 .
[Crossref] [PubMed]

A. Bezryadina, D. N. Neshev, A. S. Desyatnikov, J. Young, Z. G. Chen, and Yu. S. Kivshar, “Observation of topological transformations of optical vortices in two-dimensional photonic lattices,” Opt. Express 14, 8317–8327 (2006), http://www.opticsinfobase.org/abstract.cfm?URI=oe-14-18-8317 .
[Crossref] [PubMed]

Opt. Lett. (8)

C. Rotschild, M. Segev, Z. Xu, Ya. V. Kartashov, L. Torner, and O. Cohen, “Two-dimensional multipole solitons in nonlocal nonlinear media,” Opt. Lett. 31, 3312–3314 (2006).
[Crossref] [PubMed]

A. Fratalocchi, A. Piccardi, M. Peccianti, and G. Assanto, “Nonlinearly controlled angular momentum of soliton clusters,” Opt. Lett. 32, 1447–1449 (2007).
[Crossref] [PubMed]

S. Lopez-Aguayo, A. S. Desyatnikov, Yu. S. Kivshar, S. Skupin, W. Krolikowski, and O. Bang, “Stable rotating dipole solitons in nonlocal optical media,” Opt. Lett. 31, 1100–1102 (2006).
[Crossref] [PubMed]

Y. V. Izdebskaya, V. G. Shvedov, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Soliton bending and routing induced by interaction with curved surfaces in nematic liquid crystals,” Opt. Lett. 35, 1692–1694 (2010).
[Crossref] [PubMed]

Y. V. Izdebskaya, A. S. Desyatnikov, G. Assanto, and Yu. S. Kivshar, “Multimode nematicon waveguides,” Opt. Lett. 36, 184–186 (2011).
[Crossref] [PubMed]

D. Neshev, G. McCarthy, W. Krolikowski, E. A. Ostrovskaya, Yu. S. Kivshar, G. F. Calvo, and F. Agullo-Lopez, “Dipole-mode vector solitons in anisotropic nonlocal self-focusing media,” Opt. Lett. 26, 1185–1187 (2001).
[Crossref]

G. Molina-Terriza, J. Recolons, and L. Torner, “The curious arithmetic of optical vortices,” Opt. Lett. 25, 1135–1137 (2000).
[Crossref]

G. Molina-Terriza, E. M. Wright, and L. Torner, “Propagation and control of noncanonical optical vortices,” Opt. Lett. 26, 163–165 (2001).
[Crossref]

Opt. Quantum Electron. (1)

F. Maucher, D. Buccoliero, S. Skupin, M. Grech, A. S. Desyatnikov, and W. Krolikowski, “Tracking azimuthons in nonlocal nonlinear media,” Opt. Quantum Electron. 41, 337–348 (2009).
[Crossref]

Phys. Rev. A (4)

F. Ye, Y. V. Kartashov, and L. Torner , “Stabilization of dipole solitons in nonlocal nonlinear media,” Phys. Rev. A 77, 043821 (2008).
[Crossref]

V. M. Lashkin, A. I. Yakimenko, and O. O. Prikhodko, “Two-dimensional nonlocal multisolitons,” Phys. Rev. A 366, 422–427 (2007).

A. A. Minzoni, N. F. Smyth, and Z. Xu, “Stability of an optical vortex in a circular nematic cell,” Phys. Rev. A 81, 033816 (2010).
[Crossref]

A. Fratalocchi, A. Piccardi, M. Peccianti, and G. Assanto, “Nonlinear management of the angular momentum of soliton clusters: Theory and experiment,” Phys. Rev. A 75, 063835 (2007).
[Crossref]

Phys. Rev. E (3)

A. I. Yakimenko, Yu. A. Zaliznyak, and Yu. S. Kivshar, “Stable vortex solitons in nonlocal self-focusing nonlinear media,” Phys. Rev. E 71, 065603 (2005).
[Crossref]

S. Skupin, O. Bang, D. Edmundson, and W. Krolikowski, “Stability of two-dimensional spatial solitons in nonlocal nonlinear media,” Phys. Rev. E 73, 066603 (2006).
[Crossref]

A. I. Yakimenko, V. M. Lashkin, and O. O. Prikhodko, “Dynamics of two-dimensional coherent structures in nonlocal nonlinear media,” Phys. Rev. E 73, 066605 (2006).
[Crossref]

Phys. Rev. Lett. (13)

A. S. Desyatnikov and Yu. S. Kivshar, “Rotating optical soliton clusters,” Phys. Rev. Lett. 88, 053901 (2002).
[Crossref] [PubMed]

A. S. Desyatnikov, A. A. Sukhorukov, and Yu. S. Kivshar, “Azimuthons: spatially modulated vortex solitons,” Phys. Rev. Lett. 95, 203904 (2005).
[Crossref] [PubMed]

D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Yu. S. Kivshar, “Laguerre and Hermite soliton clusters in nonlocal nonlinear media,” Phys. Rev. Lett. 98, 053901 (2007).
[Crossref] [PubMed]

C. Conti, M. Peccianti, and G. Assanto, “Route to nonlocality and observation of accessible solitons,” Phys. Rev. Lett. 91, 073901 (2003).
[Crossref] [PubMed]

C. Conti, M. Peccianti, and G. Assanto, “Observation of optical spatial solitons in a highly nonlocal medium,” Phys. Rev. Lett. 92, 113902 (2004).
[Crossref] [PubMed]

S. Skupin, M. Saffman, and W. Krolikowski, “Nonlocal stabilization of nonlinear beams in a self-focusing atomic vapor,” Phys. Rev. Lett. 98, 263902 (2007).
[Crossref] [PubMed]

C. Rotschild, O. Cohen, O. Manela, Tal Carmon, and M. Segev, “Solitons in nonlinear media with an infinite range of nonlocality: first observation of coherent elliptic solitons and of vortex-ring solitons,” Phys. Rev. Lett. 95, 213904 (2005).
[Crossref] [PubMed]

W. Krolikowski, E. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, “Observation of dipole-mode vector solitons,” Phys. Rev. Lett. 85, 1424 (2000).
[Crossref] [PubMed]

T. Carmon, R. Uzdin, C. Pigier, Z. H. Musslimani, M. Segev, and A. Nepomnyashchy, “Rotating propeller solitons,” Phys. Rev. Lett. 87, 143901 (2001).
[Crossref] [PubMed]

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Figures (4)

Fig. 1
Fig. 1 (a) Perspective and (b) top views of the unbiased planar cell; the ellipses indicate the oriented molecules. MO – microscope objectives; CCD – cameras. (c) Input vortex profile and (d–f) output intensity distributions. (d) Diffracted e-polarized single-charged (m = +1) vortex beam with P = 0.7 mW. (e,f) Vortex breakup into two filaments for P = 2.1 mW, tilted in the opposite direction with respect to the dark stripe, for input topological charges m = +1 in (e) and m = −1 in (f). Dashed lines in (d–f) indicate the edges of the cell.

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Fig. 2
Fig. 2 Generation and propagation of a dipole azimuthon, with power-driven beam twist and breathing. (a–c) Evolution in the plane (x,z) of a beam with input charge m = +1 for three different input powers. The walk-off angle of about 4.5° is defined by the molecular alignment at the cell boundaries. (d–f) Transverse intensity patterns at the cell output for beams with m = +1; (g–i) as in (d–f) but for m = −1. (j) Beam HWHM versus input power P (see text).

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Fig. 3
Fig. 3 (a–h) Acquired intensity profiles of nonlocal dipole azimuthons (left) and corresponding interferograms (right); the circles indicate the positions of vortices with charges +1 (green) and −1 (blue). (i) Topological charge m0 of the on-axis phase singularity; the dashed vertical lines mark the input powers in (a–h).

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Fig. 4
Fig. 4 Numerical dynamics of an initially stretched stable nonlocal vortex soliton. (a) Intensity profiles. (b) Volume half-intensity surface (green) and trajectories of vortices: red for m = +1 and blue for m = −1. (c,d) Magnified fragments with pitchfork topological reactions in (b), including their sequence at z ≃ 29.5. (e) Evolution of the zero-level contours ReE = 0 (red) and ImE = 0 (blue) at the super-critical pitchfork reaction in (c); the circles indicate vortex locations.

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Equations (1)

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i ∂ z E + ∂ x 2 E + ∂ y 2 E + E ∫ − ∞ ∞ e − | r → − ρ → | 2 | E ( ρ → ) | 2 d ρ → = 0 .

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