Abstract

We demonstrate self-trapping of singly-charged vortices at the surface of an optically induced two-dimensional photonic lattice. Under appropriate conditions of self-focusing nonlinearity, a singly-charged vortex beam can self-trap into a stable semi-infinite gap surface vortex soliton through a four-site excitation. However, a single-site excitation leads to a quasi-localized state in the first photonic gap, and our theoretical analysis illustrates that such a bandgap surface vortex soliton is always unstable. Our experimental results of stable and unstable topological surface solitons are corroborated by direct numerical simulations and linear stability analysis.

© 2010 OSA

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    [CrossRef]
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    [CrossRef] [PubMed]
  4. S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of discrete surface solitons,” Phys. Rev. Lett. 96(6), 063901 (2006).
    [CrossRef] [PubMed]
  5. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface gap solitons,” Phys. Rev. Lett. 96(7), 073901 (2006).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  8. K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, “Surface lattice solitons,” Opt. Lett. 31(18), 2774–2776 (2006).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
  21. D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, “Observation of discrete vortex solitons in optically induced photonic lattices,” Phys. Rev. Lett. 92(12), 123903 (2004).
    [CrossRef] [PubMed]
  22. J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, “Observation of vortex-ring “discrete” solitons in 2D photonic lattices,” Phys. Rev. Lett. 92(12), 123904 (2004).
    [CrossRef] [PubMed]
  23. G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, “Observation of second-band vortex solitons in 2D photonic lattices,” Phys. Rev. Lett. 95(5), 053904 (2005).
    [CrossRef] [PubMed]
  24. D. Song, C. Lou, L. Tang, X. Wang, W. Li, X. Chen, K. J. Law, H. Susanto, P. G. Kevrekidis, J. Xu, and Z. Chen, “Self-trapping of optical vortices in waveguide lattices with a self-defocusing nonlinearity,” Opt. Express 16(14), 10110–10116 (2008).
    [CrossRef] [PubMed]

2009 (2)

M. Heinrich, Y. V. Kartashov, L. P. R. Ramirez, A. Szameit, F. Dreisow, R. Keil, S. Nolte, A. Tünnermann, V. A. Vysloukh, and L. Torner, “Two-dimensional solitons at interfaces between binary superlattices and homogeneous lattices,” Phys. Rev. A 80(6), 063832 (2009).
[CrossRef]

M. S. Petrović, S. Prvanovic, and D. M. Jovic, “Soliton with different topological charges,” Phys. Rev. A 79(2), 021803 (2009).
[CrossRef]

2008 (4)

2007 (3)

S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, “Observation of one- and two-dimensional discrete surface spatial solitons,” J. Nonlinear Opt. Phys. Mater. 16(04), 401 (2007).
[CrossRef]

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, “Observation of two-dimensional surface solitons,” Phys. Rev. Lett. 98(12), 123903 (2007).
[CrossRef] [PubMed]

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, “S. Nolte A. Tunnermann, and L. Torner, “Observation of two-dimensional surface solitons in asymmetric waveguide arrays,” Phys. Rev. Lett. 98(17), 173903 (2007).
[CrossRef]

2006 (7)

Y. V. Kartashov and L. Torner, “Multipole-mode surface solitons,” Opt. Lett. 31(14), 2172–2174 (2006).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of discrete surface solitons,” Phys. Rev. Lett. 96(6), 063901 (2006).
[CrossRef] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface gap solitons,” Phys. Rev. Lett. 96(7), 073901 (2006).
[CrossRef] [PubMed]

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Observation of surface gap solitons in semi-infinite waveguide arrays,” Phys. Rev. Lett. 97(8), 083901 (2006).
[CrossRef] [PubMed]

G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, Y. Min, and W. Sohler, “Observation of discrete quadratic surface solitons,” Opt. Express 14(12), 5508–5516 (2006).
[CrossRef] [PubMed]

K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, “Surface lattice solitons,” Opt. Lett. 31(18), 2774–2776 (2006).
[CrossRef] [PubMed]

Y. V. Kartashov, A. A. Egorov, V. A. Vysloukh, and L. Torner, “Surface vortex solitons,” Opt. Express 14(9), 4049–4057 (2006).
[CrossRef] [PubMed]

2005 (3)

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, “Discrete surface solitons,” Opt. Lett. 30(18), 2466–2468 (2005).
[CrossRef] [PubMed]

A. Szameit, Y. V. Kartashov, V. A. Vysloukh, M. Heinrich, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, F. Lederer, and L. Torner, “Angular surface solitons in sectorial hexagonal arrays,” Opt. Lett. 33, 2466 (2005).

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, “Observation of second-band vortex solitons in 2D photonic lattices,” Phys. Rev. Lett. 95(5), 053904 (2005).
[CrossRef] [PubMed]

2004 (2)

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, “Observation of discrete vortex solitons in optically induced photonic lattices,” Phys. Rev. Lett. 92(12), 123903 (2004).
[CrossRef] [PubMed]

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, “Observation of vortex-ring “discrete” solitons in 2D photonic lattices,” Phys. Rev. Lett. 92(12), 123904 (2004).
[CrossRef] [PubMed]

2003 (1)

2002 (1)

H. Susanto, P. G. Kevrekidis, B. A. Malmed, R. Carretero-Gonzalez, and D. J. Frantzeskakis, “Discrete surface solitons in two dimensions,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 66, 046602 (2002).

2001 (1)

B. A. Malomed and P. G. Kevrekidis, “Discrete vortex solitons,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 64(2), 026601 (2001).
[CrossRef] [PubMed]

Aimez, V.

S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, “Observation of one- and two-dimensional discrete surface spatial solitons,” J. Nonlinear Opt. Phys. Mater. 16(04), 401 (2007).
[CrossRef]

Alexander, T. J.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, “Observation of discrete vortex solitons in optically induced photonic lattices,” Phys. Rev. Lett. 92(12), 123903 (2004).
[CrossRef] [PubMed]

Arès, R.

S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, “Observation of one- and two-dimensional discrete surface spatial solitons,” J. Nonlinear Opt. Phys. Mater. 16(04), 401 (2007).
[CrossRef]

Bartal, G.

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, “Observation of second-band vortex solitons in 2D photonic lattices,” Phys. Rev. Lett. 95(5), 053904 (2005).
[CrossRef] [PubMed]

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, “Observation of vortex-ring “discrete” solitons in 2D photonic lattices,” Phys. Rev. Lett. 92(12), 123904 (2004).
[CrossRef] [PubMed]

Bezryadina, A.

S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, “Observation of one- and two-dimensional discrete surface spatial solitons,” J. Nonlinear Opt. Phys. Mater. 16(04), 401 (2007).
[CrossRef]

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, “Observation of two-dimensional surface solitons,” Phys. Rev. Lett. 98(12), 123903 (2007).
[CrossRef] [PubMed]

Carretero-Gonzalez, R.

H. Susanto, P. G. Kevrekidis, B. A. Malmed, R. Carretero-Gonzalez, and D. J. Frantzeskakis, “Discrete surface solitons in two dimensions,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 66, 046602 (2002).

Chen, X.

Chen, Z.

X. Wang, A. Samodurov, and Z. Chen, “Demonstration of surface soliton arrays at the edge of a two-dimensional photonic lattice,” Opt. Lett. 33(11), 1240–1242 (2008).
[CrossRef] [PubMed]

D. Song, C. Lou, L. Tang, X. Wang, W. Li, X. Chen, K. J. Law, H. Susanto, P. G. Kevrekidis, J. Xu, and Z. Chen, “Self-trapping of optical vortices in waveguide lattices with a self-defocusing nonlinearity,” Opt. Express 16(14), 10110–10116 (2008).
[CrossRef] [PubMed]

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, “Observation of two-dimensional surface solitons,” Phys. Rev. Lett. 98(12), 123903 (2007).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, “Observation of one- and two-dimensional discrete surface spatial solitons,” J. Nonlinear Opt. Phys. Mater. 16(04), 401 (2007).
[CrossRef]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, “Observation of discrete vortex solitons in optically induced photonic lattices,” Phys. Rev. Lett. 92(12), 123903 (2004).
[CrossRef] [PubMed]

Christodoulides, D. N.

S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, “Observation of one- and two-dimensional discrete surface spatial solitons,” J. Nonlinear Opt. Phys. Mater. 16(04), 401 (2007).
[CrossRef]

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, “Observation of two-dimensional surface solitons,” Phys. Rev. Lett. 98(12), 123903 (2007).
[CrossRef] [PubMed]

K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, “Surface lattice solitons,” Opt. Lett. 31(18), 2774–2776 (2006).
[CrossRef] [PubMed]

G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, Y. Min, and W. Sohler, “Observation of discrete quadratic surface solitons,” Opt. Express 14(12), 5508–5516 (2006).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of discrete surface solitons,” Phys. Rev. Lett. 96(6), 063901 (2006).
[CrossRef] [PubMed]

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, “Discrete surface solitons,” Opt. Lett. 30(18), 2466–2468 (2005).
[CrossRef] [PubMed]

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, “Observation of vortex-ring “discrete” solitons in 2D photonic lattices,” Phys. Rev. Lett. 92(12), 123904 (2004).
[CrossRef] [PubMed]

Cohen, O.

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, “Observation of second-band vortex solitons in 2D photonic lattices,” Phys. Rev. Lett. 95(5), 053904 (2005).
[CrossRef] [PubMed]

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, “Observation of vortex-ring “discrete” solitons in 2D photonic lattices,” Phys. Rev. Lett. 92(12), 123904 (2004).
[CrossRef] [PubMed]

Dreisow, F.

M. Heinrich, Y. V. Kartashov, L. P. R. Ramirez, A. Szameit, F. Dreisow, R. Keil, S. Nolte, A. Tünnermann, V. A. Vysloukh, and L. Torner, “Two-dimensional solitons at interfaces between binary superlattices and homogeneous lattices,” Phys. Rev. A 80(6), 063832 (2009).
[CrossRef]

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, “S. Nolte A. Tunnermann, and L. Torner, “Observation of two-dimensional surface solitons in asymmetric waveguide arrays,” Phys. Rev. Lett. 98(17), 173903 (2007).
[CrossRef]

A. Szameit, Y. V. Kartashov, V. A. Vysloukh, M. Heinrich, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, F. Lederer, and L. Torner, “Angular surface solitons in sectorial hexagonal arrays,” Opt. Lett. 33, 2466 (2005).

Egorov, A. A.

Fleischer, J. W.

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, “Observation of second-band vortex solitons in 2D photonic lattices,” Phys. Rev. Lett. 95(5), 053904 (2005).
[CrossRef] [PubMed]

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, “Observation of vortex-ring “discrete” solitons in 2D photonic lattices,” Phys. Rev. Lett. 92(12), 123904 (2004).
[CrossRef] [PubMed]

Frantzeskakis, D. J.

H. Susanto, P. G. Kevrekidis, B. A. Malmed, R. Carretero-Gonzalez, and D. J. Frantzeskakis, “Discrete surface solitons in two dimensions,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 66, 046602 (2002).

Hache, A.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of discrete surface solitons,” Phys. Rev. Lett. 96(6), 063901 (2006).
[CrossRef] [PubMed]

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, “Discrete surface solitons,” Opt. Lett. 30(18), 2466–2468 (2005).
[CrossRef] [PubMed]

Heinrich, M.

M. Heinrich, Y. V. Kartashov, L. P. R. Ramirez, A. Szameit, F. Dreisow, R. Keil, S. Nolte, A. Tünnermann, V. A. Vysloukh, and L. Torner, “Two-dimensional solitons at interfaces between binary superlattices and homogeneous lattices,” Phys. Rev. A 80(6), 063832 (2009).
[CrossRef]

A. Szameit, Y. V. Kartashov, V. A. Vysloukh, M. Heinrich, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, F. Lederer, and L. Torner, “Angular surface solitons in sectorial hexagonal arrays,” Opt. Lett. 33, 2466 (2005).

Hudock, J.

K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, “Surface lattice solitons,” Opt. Lett. 31(18), 2774–2776 (2006).
[CrossRef] [PubMed]

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, “Observation of vortex-ring “discrete” solitons in 2D photonic lattices,” Phys. Rev. Lett. 92(12), 123904 (2004).
[CrossRef] [PubMed]

Iwanow, R.

S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, “Observation of one- and two-dimensional discrete surface spatial solitons,” J. Nonlinear Opt. Phys. Mater. 16(04), 401 (2007).
[CrossRef]

G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, Y. Min, and W. Sohler, “Observation of discrete quadratic surface solitons,” Opt. Express 14(12), 5508–5516 (2006).
[CrossRef] [PubMed]

Jovic, D. M.

M. S. Petrović, S. Prvanovic, and D. M. Jovic, “Soliton with different topological charges,” Phys. Rev. A 79(2), 021803 (2009).
[CrossRef]

Kartashov, Y. V.

M. Heinrich, Y. V. Kartashov, L. P. R. Ramirez, A. Szameit, F. Dreisow, R. Keil, S. Nolte, A. Tünnermann, V. A. Vysloukh, and L. Torner, “Two-dimensional solitons at interfaces between binary superlattices and homogeneous lattices,” Phys. Rev. A 80(6), 063832 (2009).
[CrossRef]

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, “S. Nolte A. Tunnermann, and L. Torner, “Observation of two-dimensional surface solitons in asymmetric waveguide arrays,” Phys. Rev. Lett. 98(17), 173903 (2007).
[CrossRef]

Y. V. Kartashov and L. Torner, “Multipole-mode surface solitons,” Opt. Lett. 31(14), 2172–2174 (2006).
[CrossRef] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface gap solitons,” Phys. Rev. Lett. 96(7), 073901 (2006).
[CrossRef] [PubMed]

Y. V. Kartashov, A. A. Egorov, V. A. Vysloukh, and L. Torner, “Surface vortex solitons,” Opt. Express 14(9), 4049–4057 (2006).
[CrossRef] [PubMed]

A. Szameit, Y. V. Kartashov, V. A. Vysloukh, M. Heinrich, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, F. Lederer, and L. Torner, “Angular surface solitons in sectorial hexagonal arrays,” Opt. Lett. 33, 2466 (2005).

Keil, R.

M. Heinrich, Y. V. Kartashov, L. P. R. Ramirez, A. Szameit, F. Dreisow, R. Keil, S. Nolte, A. Tünnermann, V. A. Vysloukh, and L. Torner, “Two-dimensional solitons at interfaces between binary superlattices and homogeneous lattices,” Phys. Rev. A 80(6), 063832 (2009).
[CrossRef]

Kevrekidis, P. G.

D. Song, C. Lou, L. Tang, X. Wang, W. Li, X. Chen, K. J. Law, H. Susanto, P. G. Kevrekidis, J. Xu, and Z. Chen, “Self-trapping of optical vortices in waveguide lattices with a self-defocusing nonlinearity,” Opt. Express 16(14), 10110–10116 (2008).
[CrossRef] [PubMed]

H. Susanto, P. G. Kevrekidis, B. A. Malmed, R. Carretero-Gonzalez, and D. J. Frantzeskakis, “Discrete surface solitons in two dimensions,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 66, 046602 (2002).

B. A. Malomed and P. G. Kevrekidis, “Discrete vortex solitons,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 64(2), 026601 (2001).
[CrossRef] [PubMed]

Kivshar, Y. S.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Observation of surface gap solitons in semi-infinite waveguide arrays,” Phys. Rev. Lett. 97(8), 083901 (2006).
[CrossRef] [PubMed]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, “Observation of discrete vortex solitons in optically induced photonic lattices,” Phys. Rev. Lett. 92(12), 123903 (2004).
[CrossRef] [PubMed]

Kivshar, Yu. S.

Yu. S. Kivshar, “Nonlinear Tamm states and surface effects in periodic photonic structures,” Laser Phys. Lett. 5(10), 703–713 (2008).
[CrossRef]

Krolikowski, W.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Observation of surface gap solitons in semi-infinite waveguide arrays,” Phys. Rev. Lett. 97(8), 083901 (2006).
[CrossRef] [PubMed]

Law, K. J.

Lederer, F.

A. Szameit, Y. V. Kartashov, V. A. Vysloukh, M. Heinrich, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, F. Lederer, and L. Torner, “Angular surface solitons in sectorial hexagonal arrays,” Opt. Lett. 33, 2466 (2005).

Li, W.

Lou, C.

Makasyuk, I.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, “Observation of discrete vortex solitons in optically induced photonic lattices,” Phys. Rev. Lett. 92(12), 123903 (2004).
[CrossRef] [PubMed]

Makris, K. G.

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, “Observation of two-dimensional surface solitons,” Phys. Rev. Lett. 98(12), 123903 (2007).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, “Observation of one- and two-dimensional discrete surface spatial solitons,” J. Nonlinear Opt. Phys. Mater. 16(04), 401 (2007).
[CrossRef]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of discrete surface solitons,” Phys. Rev. Lett. 96(6), 063901 (2006).
[CrossRef] [PubMed]

G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, Y. Min, and W. Sohler, “Observation of discrete quadratic surface solitons,” Opt. Express 14(12), 5508–5516 (2006).
[CrossRef] [PubMed]

K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, “Surface lattice solitons,” Opt. Lett. 31(18), 2774–2776 (2006).
[CrossRef] [PubMed]

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, “Discrete surface solitons,” Opt. Lett. 30(18), 2466–2468 (2005).
[CrossRef] [PubMed]

Malmed, B. A.

H. Susanto, P. G. Kevrekidis, B. A. Malmed, R. Carretero-Gonzalez, and D. J. Frantzeskakis, “Discrete surface solitons in two dimensions,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 66, 046602 (2002).

Malomed, B. A.

B. A. Malomed and P. G. Kevrekidis, “Discrete vortex solitons,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 64(2), 026601 (2001).
[CrossRef] [PubMed]

Manela, O.

K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, “Surface lattice solitons,” Opt. Lett. 31(18), 2774–2776 (2006).
[CrossRef] [PubMed]

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, “Observation of second-band vortex solitons in 2D photonic lattices,” Phys. Rev. Lett. 95(5), 053904 (2005).
[CrossRef] [PubMed]

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, “Observation of vortex-ring “discrete” solitons in 2D photonic lattices,” Phys. Rev. Lett. 92(12), 123904 (2004).
[CrossRef] [PubMed]

Martin, H.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, “Observation of discrete vortex solitons in optically induced photonic lattices,” Phys. Rev. Lett. 92(12), 123903 (2004).
[CrossRef] [PubMed]

Min, Y.

S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, “Observation of one- and two-dimensional discrete surface spatial solitons,” J. Nonlinear Opt. Phys. Mater. 16(04), 401 (2007).
[CrossRef]

G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, Y. Min, and W. Sohler, “Observation of discrete quadratic surface solitons,” Opt. Express 14(12), 5508–5516 (2006).
[CrossRef] [PubMed]

Mitchell, A.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Observation of surface gap solitons in semi-infinite waveguide arrays,” Phys. Rev. Lett. 97(8), 083901 (2006).
[CrossRef] [PubMed]

Molina, M. I.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Observation of surface gap solitons in semi-infinite waveguide arrays,” Phys. Rev. Lett. 97(8), 083901 (2006).
[CrossRef] [PubMed]

Morandotti, R.

S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, “Observation of one- and two-dimensional discrete surface spatial solitons,” J. Nonlinear Opt. Phys. Mater. 16(04), 401 (2007).
[CrossRef]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of discrete surface solitons,” Phys. Rev. Lett. 96(6), 063901 (2006).
[CrossRef] [PubMed]

Musslimani, Z. H.

Neshev, D. N.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Observation of surface gap solitons in semi-infinite waveguide arrays,” Phys. Rev. Lett. 97(8), 083901 (2006).
[CrossRef] [PubMed]

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, “Observation of discrete vortex solitons in optically induced photonic lattices,” Phys. Rev. Lett. 92(12), 123903 (2004).
[CrossRef] [PubMed]

Nolte, S.

M. Heinrich, Y. V. Kartashov, L. P. R. Ramirez, A. Szameit, F. Dreisow, R. Keil, S. Nolte, A. Tünnermann, V. A. Vysloukh, and L. Torner, “Two-dimensional solitons at interfaces between binary superlattices and homogeneous lattices,” Phys. Rev. A 80(6), 063832 (2009).
[CrossRef]

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, “S. Nolte A. Tunnermann, and L. Torner, “Observation of two-dimensional surface solitons in asymmetric waveguide arrays,” Phys. Rev. Lett. 98(17), 173903 (2007).
[CrossRef]

A. Szameit, Y. V. Kartashov, V. A. Vysloukh, M. Heinrich, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, F. Lederer, and L. Torner, “Angular surface solitons in sectorial hexagonal arrays,” Opt. Lett. 33, 2466 (2005).

Ostrovskaya, E. A.

D. N. Neshev, T. J. Alexander, E. A. Ostrovskaya, Y. S. Kivshar, H. Martin, I. Makasyuk, and Z. Chen, “Observation of discrete vortex solitons in optically induced photonic lattices,” Phys. Rev. Lett. 92(12), 123903 (2004).
[CrossRef] [PubMed]

Pertsch, T.

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, “S. Nolte A. Tunnermann, and L. Torner, “Observation of two-dimensional surface solitons in asymmetric waveguide arrays,” Phys. Rev. Lett. 98(17), 173903 (2007).
[CrossRef]

A. Szameit, Y. V. Kartashov, V. A. Vysloukh, M. Heinrich, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, F. Lederer, and L. Torner, “Angular surface solitons in sectorial hexagonal arrays,” Opt. Lett. 33, 2466 (2005).

Petrovic, M. S.

M. S. Petrović, S. Prvanovic, and D. M. Jovic, “Soliton with different topological charges,” Phys. Rev. A 79(2), 021803 (2009).
[CrossRef]

Prvanovic, S.

M. S. Petrović, S. Prvanovic, and D. M. Jovic, “Soliton with different topological charges,” Phys. Rev. A 79(2), 021803 (2009).
[CrossRef]

Ramirez, L. P. R.

M. Heinrich, Y. V. Kartashov, L. P. R. Ramirez, A. Szameit, F. Dreisow, R. Keil, S. Nolte, A. Tünnermann, V. A. Vysloukh, and L. Torner, “Two-dimensional solitons at interfaces between binary superlattices and homogeneous lattices,” Phys. Rev. A 80(6), 063832 (2009).
[CrossRef]

Rosberg, C. R.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Observation of surface gap solitons in semi-infinite waveguide arrays,” Phys. Rev. Lett. 97(8), 083901 (2006).
[CrossRef] [PubMed]

Salamo, G.

S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, “Observation of one- and two-dimensional discrete surface spatial solitons,” J. Nonlinear Opt. Phys. Mater. 16(04), 401 (2007).
[CrossRef]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of discrete surface solitons,” Phys. Rev. Lett. 96(6), 063901 (2006).
[CrossRef] [PubMed]

Samodurov, A.

Schiek, R.

S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, “Observation of one- and two-dimensional discrete surface spatial solitons,” J. Nonlinear Opt. Phys. Mater. 16(04), 401 (2007).
[CrossRef]

G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, Y. Min, and W. Sohler, “Observation of discrete quadratic surface solitons,” Opt. Express 14(12), 5508–5516 (2006).
[CrossRef] [PubMed]

Segev, M.

K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, “Surface lattice solitons,” Opt. Lett. 31(18), 2774–2776 (2006).
[CrossRef] [PubMed]

G. Bartal, O. Manela, O. Cohen, J. W. Fleischer, and M. Segev, “Observation of second-band vortex solitons in 2D photonic lattices,” Phys. Rev. Lett. 95(5), 053904 (2005).
[CrossRef] [PubMed]

J. W. Fleischer, G. Bartal, O. Cohen, O. Manela, M. Segev, J. Hudock, and D. N. Christodoulides, “Observation of vortex-ring “discrete” solitons in 2D photonic lattices,” Phys. Rev. Lett. 92(12), 123904 (2004).
[CrossRef] [PubMed]

Siviloglou, G. A.

S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, “Observation of one- and two-dimensional discrete surface spatial solitons,” J. Nonlinear Opt. Phys. Mater. 16(04), 401 (2007).
[CrossRef]

G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, Y. Min, and W. Sohler, “Observation of discrete quadratic surface solitons,” Opt. Express 14(12), 5508–5516 (2006).
[CrossRef] [PubMed]

Sohler, W.

S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, “Observation of one- and two-dimensional discrete surface spatial solitons,” J. Nonlinear Opt. Phys. Mater. 16(04), 401 (2007).
[CrossRef]

G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, Y. Min, and W. Sohler, “Observation of discrete quadratic surface solitons,” Opt. Express 14(12), 5508–5516 (2006).
[CrossRef] [PubMed]

Song, D.

Sorel, M.

S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, “Observation of one- and two-dimensional discrete surface spatial solitons,” J. Nonlinear Opt. Phys. Mater. 16(04), 401 (2007).
[CrossRef]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of discrete surface solitons,” Phys. Rev. Lett. 96(6), 063901 (2006).
[CrossRef] [PubMed]

Stegeman, G. I.

S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, “Observation of one- and two-dimensional discrete surface spatial solitons,” J. Nonlinear Opt. Phys. Mater. 16(04), 401 (2007).
[CrossRef]

X. Wang, A. Bezryadina, Z. Chen, K. G. Makris, D. N. Christodoulides, and G. I. Stegeman, “Observation of two-dimensional surface solitons,” Phys. Rev. Lett. 98(12), 123903 (2007).
[CrossRef] [PubMed]

K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, “Surface lattice solitons,” Opt. Lett. 31(18), 2774–2776 (2006).
[CrossRef] [PubMed]

G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, Y. Min, and W. Sohler, “Observation of discrete quadratic surface solitons,” Opt. Express 14(12), 5508–5516 (2006).
[CrossRef] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of discrete surface solitons,” Phys. Rev. Lett. 96(6), 063901 (2006).
[CrossRef] [PubMed]

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, “Discrete surface solitons,” Opt. Lett. 30(18), 2466–2468 (2005).
[CrossRef] [PubMed]

Suntsov, S.

S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, “Observation of one- and two-dimensional discrete surface spatial solitons,” J. Nonlinear Opt. Phys. Mater. 16(04), 401 (2007).
[CrossRef]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Observation of discrete surface solitons,” Phys. Rev. Lett. 96(6), 063901 (2006).
[CrossRef] [PubMed]

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, “Discrete surface solitons,” Opt. Lett. 30(18), 2466–2468 (2005).
[CrossRef] [PubMed]

Susanto, H.

D. Song, C. Lou, L. Tang, X. Wang, W. Li, X. Chen, K. J. Law, H. Susanto, P. G. Kevrekidis, J. Xu, and Z. Chen, “Self-trapping of optical vortices in waveguide lattices with a self-defocusing nonlinearity,” Opt. Express 16(14), 10110–10116 (2008).
[CrossRef] [PubMed]

H. Susanto, P. G. Kevrekidis, B. A. Malmed, R. Carretero-Gonzalez, and D. J. Frantzeskakis, “Discrete surface solitons in two dimensions,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 66, 046602 (2002).

Szameit, A.

M. Heinrich, Y. V. Kartashov, L. P. R. Ramirez, A. Szameit, F. Dreisow, R. Keil, S. Nolte, A. Tünnermann, V. A. Vysloukh, and L. Torner, “Two-dimensional solitons at interfaces between binary superlattices and homogeneous lattices,” Phys. Rev. A 80(6), 063832 (2009).
[CrossRef]

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, “S. Nolte A. Tunnermann, and L. Torner, “Observation of two-dimensional surface solitons in asymmetric waveguide arrays,” Phys. Rev. Lett. 98(17), 173903 (2007).
[CrossRef]

A. Szameit, Y. V. Kartashov, V. A. Vysloukh, M. Heinrich, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, F. Lederer, and L. Torner, “Angular surface solitons in sectorial hexagonal arrays,” Opt. Lett. 33, 2466 (2005).

Tang, L.

Torner, L.

M. Heinrich, Y. V. Kartashov, L. P. R. Ramirez, A. Szameit, F. Dreisow, R. Keil, S. Nolte, A. Tünnermann, V. A. Vysloukh, and L. Torner, “Two-dimensional solitons at interfaces between binary superlattices and homogeneous lattices,” Phys. Rev. A 80(6), 063832 (2009).
[CrossRef]

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, “S. Nolte A. Tunnermann, and L. Torner, “Observation of two-dimensional surface solitons in asymmetric waveguide arrays,” Phys. Rev. Lett. 98(17), 173903 (2007).
[CrossRef]

Y. V. Kartashov, A. A. Egorov, V. A. Vysloukh, and L. Torner, “Surface vortex solitons,” Opt. Express 14(9), 4049–4057 (2006).
[CrossRef] [PubMed]

Y. V. Kartashov and L. Torner, “Multipole-mode surface solitons,” Opt. Lett. 31(14), 2172–2174 (2006).
[CrossRef] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface gap solitons,” Phys. Rev. Lett. 96(7), 073901 (2006).
[CrossRef] [PubMed]

A. Szameit, Y. V. Kartashov, V. A. Vysloukh, M. Heinrich, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, F. Lederer, and L. Torner, “Angular surface solitons in sectorial hexagonal arrays,” Opt. Lett. 33, 2466 (2005).

Tünnermann, A.

M. Heinrich, Y. V. Kartashov, L. P. R. Ramirez, A. Szameit, F. Dreisow, R. Keil, S. Nolte, A. Tünnermann, V. A. Vysloukh, and L. Torner, “Two-dimensional solitons at interfaces between binary superlattices and homogeneous lattices,” Phys. Rev. A 80(6), 063832 (2009).
[CrossRef]

A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, and L. Torner, “S. Nolte A. Tunnermann, and L. Torner, “Observation of two-dimensional surface solitons in asymmetric waveguide arrays,” Phys. Rev. Lett. 98(17), 173903 (2007).
[CrossRef]

A. Szameit, Y. V. Kartashov, V. A. Vysloukh, M. Heinrich, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, F. Lederer, and L. Torner, “Angular surface solitons in sectorial hexagonal arrays,” Opt. Lett. 33, 2466 (2005).

Vicencio, R. A.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Observation of surface gap solitons in semi-infinite waveguide arrays,” Phys. Rev. Lett. 97(8), 083901 (2006).
[CrossRef] [PubMed]

Volatier, M.

S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, “Observation of one- and two-dimensional discrete surface spatial solitons,” J. Nonlinear Opt. Phys. Mater. 16(04), 401 (2007).
[CrossRef]

Vysloukh, V. A.

M. Heinrich, Y. V. Kartashov, L. P. R. Ramirez, A. Szameit, F. Dreisow, R. Keil, S. Nolte, A. Tünnermann, V. A. Vysloukh, and L. Torner, “Two-dimensional solitons at interfaces between binary superlattices and homogeneous lattices,” Phys. Rev. A 80(6), 063832 (2009).
[CrossRef]

Y. V. Kartashov, A. A. Egorov, V. A. Vysloukh, and L. Torner, “Surface vortex solitons,” Opt. Express 14(9), 4049–4057 (2006).
[CrossRef] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface gap solitons,” Phys. Rev. Lett. 96(7), 073901 (2006).
[CrossRef] [PubMed]

A. Szameit, Y. V. Kartashov, V. A. Vysloukh, M. Heinrich, F. Dreisow, T. Pertsch, S. Nolte, A. Tünnermann, F. Lederer, and L. Torner, “Angular surface solitons in sectorial hexagonal arrays,” Opt. Lett. 33, 2466 (2005).

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J. Nonlinear Opt. Phys. Mater. (1)

S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, “Observation of one- and two-dimensional discrete surface spatial solitons,” J. Nonlinear Opt. Phys. Mater. 16(04), 401 (2007).
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Figures (5)

Fig. 1
Fig. 1

Optically induced semi-infinite square lattices. Shown are the lattice beam at (a) input, (b) linear output, and (c) nonlinear output. (d) zoom-in interference pattern of an input vortex beam at the surface with an inclined plane wave.

Fig. 2
Fig. 2

Experimental (top) and numerical (bottom) results of vortex self-trapping under single-site surface excitation. (a) Lattice beam superimposed with the vortex beam, (b) linear and (c) nonlinear output of the vortex beam, where blue dashed line indicates the surface location, (d) zoom-in interferogram of (c) with an inclined plane wave, and (e) k-space spectrum of (c). The dashed square in (e) marks the boundary of the first Brillouin zone.

Fig. 3
Fig. 3

Experimental (top) and numerical (bottom) results of vortex self-trapping under four-site surface excitation. The insert in (c) shows the breakup of vortex beam into two spots without the induced lattice. Caption for (a-e) is the same as in Fig. 2.

Fig. 4
Fig. 4

Numerical simulation of single- (top) and four-site (bottom) excitation of a SCV after 4-cm of nonlinear propagation. Shown are (a) vortex output intensity pattern and (b) its corresponding interferogram, and (c) side-view of the vortex propagation to z = 4 cm.

Fig. 5
Fig. 5

Numerical solutions and bifurcation diagrams for four-site (a-c) vortex family in the semi-infinite gap and single-site family (d-f) in the first photonic gap. The four panels (in clockwise order from top left) for each case correspond to intensity pattern, phase structure, linearization spectrum, and Fourier spectrum. The middle panels are plots of power curve P and growth rate max(Re[λ] as a function of propagation constant β. Blue dashed lines correspond to location of the lattice surface.

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