Abstract

We study theoretically surface lattice solitons driven by quadratic electro-optic effect at the interface between an optical lattice and diffusive nonlinear media with self-focusing and self-defocusing saturable nonlinearity. Surface solitons originating from self-focusing nonlinearity can be formed in the semi-infinite gap, and are stable in whole domain of their existence. In the case of self-defocusing nonlinearity, both surface gap and twisted solitons are predicted in first gap. We discover that surface gap solitons can propagate stably in whole existence domain except for an extremely narrow region close to the Bloch band, and twisted solitons are linearly unstable in the entire existence domain.

© 2014 Optical Society of America

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References

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  1. Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83(1), 247–305 (2011).
    [Crossref]
  2. J. J. Sanchez-Mondragon, S. Stepanov, and G. S. Garcia Quirino, “Nonlinear surface optical waves in photorefractive crystals with a diffusion mechanism of nonlinearity,” Phys. Rev. A 51(2), 1571–1577 (1995).
    [Crossref] [PubMed]
  3. W. Q. Chen, X. Yang, S. Y. Zhong, Z. Yan, T. H. Zhang, J. G. Tian, and J. J. Xu, “Surface dark screening solitons,” Opt. Lett. 36(19), 3801–3803 (2011).
    [Crossref] [PubMed]
  4. C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, “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(21), 213904 (2005).
    [Crossref] [PubMed]
  5. B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, “Nonlocal surface-wave solitons,” Phys. Rev. Lett. 98(21), 213901 (2007).
    [Crossref] [PubMed]
  6. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Ring surface waves in thermal nonlinear media,” Opt. Express 15(24), 16216–16221 (2007).
    [Crossref] [PubMed]
  7. X. Ma, Z. Yang, D. Lu, Q. Guo, and W. Hu, “Solution for (1+1)-dimensional surface solitons in thermal nonlinear media,” Phys. Rev. A 83(3), 033829 (2011).
    [Crossref]
  8. A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, “Two-color vector solitons in nonlocal media,” Phys. Rev. Lett. 97(15), 153903 (2006).
    [Crossref] [PubMed]
  9. W. Jezewski, W. Kuczyński, and J. Hoffmann, “Dielectric relaxation in chevron surface stabilized ferroelectric liquid crystals,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(6), 061702 (2006).
    [Crossref] [PubMed]
  10. 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]
  11. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface gap solitons,” Phys. Rev. Lett. 96(7), 073901 (2006).
    [Crossref] [PubMed]
  12. Y. V. Kartashov, V. A. Vysloukh, D. Mihalache, and L. Torner, “Generation of surface soliton arrays,” Opt. Lett. 31(15), 2329–2331 (2006).
    [Crossref] [PubMed]
  13. L. Dong and H. Li, “Surface solitons in nonlinear lattices,” J. Opt. Soc. Am. B 27(6), 1179–1183 (2010).
    [Crossref]
  14. W. H. Chen, Y. J. He, and H. Z. Wang, “Surface defect gap solitons,” Opt. Express 14(23), 11271–11276 (2006).
    [Crossref] [PubMed]
  15. Y. J. He, W. H. Chen, H. Z. Wang, and B. A. Malomed, “Surface superlattice gap solitons,” Opt. Lett. 32(11), 1390–1392 (2007).
    [Crossref] [PubMed]
  16. 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]
  17. 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]
  18. M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, “Self-deflection of steady-state bright spatial solitons in biased photorefractive crystals,” Opt. Commun. 120(5-6), 311–315 (1995).
    [Crossref]
  19. E. DelRe, A. D’Ercole, and E. Palange, “Mechanisms supporting long propagation regimes of photorefractive solitons,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 71(3), 036610 (2005).
    [Crossref] [PubMed]
  20. M. I. Carvalho, M. Facão, and D. N. Christodoulides, “Self-bending of dark and gray photorefractive solitons,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 76(1), 016602 (2007).
    [Crossref] [PubMed]
  21. K. Zhan, C. Hou, and Y. Du, “Self-deflection of steady-state bright spatial soliton in biased centrosymmetric photorefractive crystals,” Opt. Commun. 283(1), 138–141 (2010).
    [Crossref]
  22. Z. Xu, Y. V. Kartashov, and L. Torner, “Gap solitons supported by optical lattices in photorefractive crystals with asymmetric nonlocality,” Opt. Lett. 31(13), 2027–2029 (2006).
    [Crossref] [PubMed]
  23. D. N. Christodoulides and T. H. Coskun, “Diffraction-free planar beams in unbiased photorefractive media,” Opt. Lett. 21(18), 1460–1462 (1996).
    [Crossref] [PubMed]
  24. B. Crosignani, E. Delre, P. Di Porto, and A. Degasperis, “Self-focusing and self-trapping in unbiased centrosymmetric photorefractive media,” Opt. Lett. 23(12), 912–914 (1998).
    [Crossref] [PubMed]
  25. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface lattice solitons in diffusive nonlinear media,” Opt. Lett. 33(8), 773–775 (2008).
    [Crossref] [PubMed]
  26. M. Segev and A. J. Agranat, “Spatial solitons in centrosymmetric photorefractive media,” Opt. Lett. 22(17), 1299–1301 (1997).
    [Crossref] [PubMed]
  27. A. Ciattoni, C. Rizza, E. DelRe, and E. Palange, “Photorefractive solitons embedded in gratings in centrosymmetric crystals,” Opt. Lett. 31(11), 1690–1692 (2006).
    [Crossref] [PubMed]
  28. D. Kip, C. E. Rüter, R. Dong, Z. Wang, and J. Xu, “Higher-band gap soliton formation in defocusing photonic lattices,” Opt. Lett. 33(18), 2056–2058 (2008).
    [Crossref] [PubMed]
  29. B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, and A. J. Agranat, “Nonlinear optical diffraction effects and solitons due to anisotropic charge-diffusion-based self-interaction,” Phys. Rev. Lett. 82(8), 1664–1667 (1999).
    [Crossref]
  30. E. DelRe, M. Tamburrini, M. Segev, R. Della Pergola, and A. Agranat, “Spontaneous self-trapping of optical beams in metastable paraelectric crystals,” Phys. Rev. Lett. 83(10), 1954–1957 (1999).
    [Crossref]
  31. A. A. Sukhorukov and Y. S. Kivshar, “Nonlinear Localized Waves in a Periodic Medium,” Phys. Rev. Lett. 87(8), 083901 (2001).
    [Crossref] [PubMed]
  32. D. Mihalache, D. Mazilu, F. Lederer, L. C. Crasovan, Y. V. Kartashov, L. Torner, and B. A. Malomed, “Stable solitons of even and odd parities supported by competing nonlocal nonlinearities,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(6), 066614 (2006).
    [Crossref] [PubMed]
  33. D. E. Pelinovsky, A. A. Sukhorukov, and Y. S. Kivshar, “Bifurcations and stability of gap solitons in periodic potentials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70(3), 036618 (2004).
    [Crossref] [PubMed]
  34. Z. Xu, Y. V. Kartashov, and L. Torner, “Soliton mobility in nonlocal optical lattices,” Phys. Rev. Lett. 95(11), 113901 (2005).
    [Crossref] [PubMed]

2011 (3)

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83(1), 247–305 (2011).
[Crossref]

W. Q. Chen, X. Yang, S. Y. Zhong, Z. Yan, T. H. Zhang, J. G. Tian, and J. J. Xu, “Surface dark screening solitons,” Opt. Lett. 36(19), 3801–3803 (2011).
[Crossref] [PubMed]

X. Ma, Z. Yang, D. Lu, Q. Guo, and W. Hu, “Solution for (1+1)-dimensional surface solitons in thermal nonlinear media,” Phys. Rev. A 83(3), 033829 (2011).
[Crossref]

2010 (2)

L. Dong and H. Li, “Surface solitons in nonlinear lattices,” J. Opt. Soc. Am. B 27(6), 1179–1183 (2010).
[Crossref]

K. Zhan, C. Hou, and Y. Du, “Self-deflection of steady-state bright spatial soliton in biased centrosymmetric photorefractive crystals,” Opt. Commun. 283(1), 138–141 (2010).
[Crossref]

2008 (2)

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface lattice solitons in diffusive nonlinear media,” Opt. Lett. 33(8), 773–775 (2008).
[Crossref] [PubMed]

D. Kip, C. E. Rüter, R. Dong, Z. Wang, and J. Xu, “Higher-band gap soliton formation in defocusing photonic lattices,” Opt. Lett. 33(18), 2056–2058 (2008).
[Crossref] [PubMed]

2007 (5)

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]

M. I. Carvalho, M. Facão, and D. N. Christodoulides, “Self-bending of dark and gray photorefractive solitons,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 76(1), 016602 (2007).
[Crossref] [PubMed]

Y. J. He, W. H. Chen, H. Z. Wang, and B. A. Malomed, “Surface superlattice gap solitons,” Opt. Lett. 32(11), 1390–1392 (2007).
[Crossref] [PubMed]

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, “Nonlocal surface-wave solitons,” Phys. Rev. Lett. 98(21), 213901 (2007).
[Crossref] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Ring surface waves in thermal nonlinear media,” Opt. Express 15(24), 16216–16221 (2007).
[Crossref] [PubMed]

2006 (9)

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

Y. V. Kartashov, V. A. Vysloukh, D. Mihalache, and L. Torner, “Generation of surface soliton arrays,” Opt. Lett. 31(15), 2329–2331 (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]

W. H. Chen, Y. J. He, and H. Z. Wang, “Surface defect gap solitons,” Opt. Express 14(23), 11271–11276 (2006).
[Crossref] [PubMed]

A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, “Two-color vector solitons in nonlocal media,” Phys. Rev. Lett. 97(15), 153903 (2006).
[Crossref] [PubMed]

W. Jezewski, W. Kuczyński, and J. Hoffmann, “Dielectric relaxation in chevron surface stabilized ferroelectric liquid crystals,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(6), 061702 (2006).
[Crossref] [PubMed]

Z. Xu, Y. V. Kartashov, and L. Torner, “Gap solitons supported by optical lattices in photorefractive crystals with asymmetric nonlocality,” Opt. Lett. 31(13), 2027–2029 (2006).
[Crossref] [PubMed]

A. Ciattoni, C. Rizza, E. DelRe, and E. Palange, “Photorefractive solitons embedded in gratings in centrosymmetric crystals,” Opt. Lett. 31(11), 1690–1692 (2006).
[Crossref] [PubMed]

D. Mihalache, D. Mazilu, F. Lederer, L. C. Crasovan, Y. V. Kartashov, L. Torner, and B. A. Malomed, “Stable solitons of even and odd parities supported by competing nonlocal nonlinearities,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(6), 066614 (2006).
[Crossref] [PubMed]

2005 (4)

Z. Xu, Y. V. Kartashov, and L. Torner, “Soliton mobility in nonlocal optical lattices,” Phys. Rev. Lett. 95(11), 113901 (2005).
[Crossref] [PubMed]

E. DelRe, A. D’Ercole, and E. Palange, “Mechanisms supporting long propagation regimes of photorefractive solitons,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 71(3), 036610 (2005).
[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]

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, “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(21), 213904 (2005).
[Crossref] [PubMed]

2004 (1)

D. E. Pelinovsky, A. A. Sukhorukov, and Y. S. Kivshar, “Bifurcations and stability of gap solitons in periodic potentials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70(3), 036618 (2004).
[Crossref] [PubMed]

2001 (1)

A. A. Sukhorukov and Y. S. Kivshar, “Nonlinear Localized Waves in a Periodic Medium,” Phys. Rev. Lett. 87(8), 083901 (2001).
[Crossref] [PubMed]

1999 (2)

B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, and A. J. Agranat, “Nonlinear optical diffraction effects and solitons due to anisotropic charge-diffusion-based self-interaction,” Phys. Rev. Lett. 82(8), 1664–1667 (1999).
[Crossref]

E. DelRe, M. Tamburrini, M. Segev, R. Della Pergola, and A. Agranat, “Spontaneous self-trapping of optical beams in metastable paraelectric crystals,” Phys. Rev. Lett. 83(10), 1954–1957 (1999).
[Crossref]

1998 (1)

B. Crosignani, E. Delre, P. Di Porto, and A. Degasperis, “Self-focusing and self-trapping in unbiased centrosymmetric photorefractive media,” Opt. Lett. 23(12), 912–914 (1998).
[Crossref] [PubMed]

1997 (1)

M. Segev and A. J. Agranat, “Spatial solitons in centrosymmetric photorefractive media,” Opt. Lett. 22(17), 1299–1301 (1997).
[Crossref] [PubMed]

1996 (1)

D. N. Christodoulides and T. H. Coskun, “Diffraction-free planar beams in unbiased photorefractive media,” Opt. Lett. 21(18), 1460–1462 (1996).
[Crossref] [PubMed]

1995 (2)

M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, “Self-deflection of steady-state bright spatial solitons in biased photorefractive crystals,” Opt. Commun. 120(5-6), 311–315 (1995).
[Crossref]

J. J. Sanchez-Mondragon, S. Stepanov, and G. S. Garcia Quirino, “Nonlinear surface optical waves in photorefractive crystals with a diffusion mechanism of nonlinearity,” Phys. Rev. A 51(2), 1571–1577 (1995).
[Crossref] [PubMed]

Agranat, A.

E. DelRe, M. Tamburrini, M. Segev, R. Della Pergola, and A. Agranat, “Spontaneous self-trapping of optical beams in metastable paraelectric crystals,” Phys. Rev. Lett. 83(10), 1954–1957 (1999).
[Crossref]

Agranat, A. J.

B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, and A. J. Agranat, “Nonlinear optical diffraction effects and solitons due to anisotropic charge-diffusion-based self-interaction,” Phys. Rev. Lett. 82(8), 1664–1667 (1999).
[Crossref]

M. Segev and A. J. Agranat, “Spatial solitons in centrosymmetric photorefractive media,” Opt. Lett. 22(17), 1299–1301 (1997).
[Crossref] [PubMed]

Alberucci, A.

A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, “Two-color vector solitons in nonlocal media,” Phys. Rev. Lett. 97(15), 153903 (2006).
[Crossref] [PubMed]

Alfassi, B.

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, “Nonlocal surface-wave solitons,” Phys. Rev. Lett. 98(21), 213901 (2007).
[Crossref] [PubMed]

Assanto, G.

A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, “Two-color vector solitons in nonlocal media,” Phys. Rev. Lett. 97(15), 153903 (2006).
[Crossref] [PubMed]

Bezryadina, A.

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]

Carmon, T.

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, “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(21), 213904 (2005).
[Crossref] [PubMed]

Carvalho, M. I.

M. I. Carvalho, M. Facão, and D. N. Christodoulides, “Self-bending of dark and gray photorefractive solitons,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 76(1), 016602 (2007).
[Crossref] [PubMed]

M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, “Self-deflection of steady-state bright spatial solitons in biased photorefractive crystals,” Opt. Commun. 120(5-6), 311–315 (1995).
[Crossref]

Chen, W. H.

Y. J. He, W. H. Chen, H. Z. Wang, and B. A. Malomed, “Surface superlattice gap solitons,” Opt. Lett. 32(11), 1390–1392 (2007).
[Crossref] [PubMed]

W. H. Chen, Y. J. He, and H. Z. Wang, “Surface defect gap solitons,” Opt. Express 14(23), 11271–11276 (2006).
[Crossref] [PubMed]

Chen, W. Q.

W. Q. Chen, X. Yang, S. Y. Zhong, Z. Yan, T. H. Zhang, J. G. Tian, and J. J. Xu, “Surface dark screening solitons,” Opt. Lett. 36(19), 3801–3803 (2011).
[Crossref] [PubMed]

Chen, Z.

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]

Christodoulides, D. N.

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]

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, “Nonlocal surface-wave solitons,” Phys. Rev. Lett. 98(21), 213901 (2007).
[Crossref] [PubMed]

M. I. Carvalho, M. Facão, and D. N. Christodoulides, “Self-bending of dark and gray photorefractive solitons,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 76(1), 016602 (2007).
[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]

D. N. Christodoulides and T. H. Coskun, “Diffraction-free planar beams in unbiased photorefractive media,” Opt. Lett. 21(18), 1460–1462 (1996).
[Crossref] [PubMed]

M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, “Self-deflection of steady-state bright spatial solitons in biased photorefractive crystals,” Opt. Commun. 120(5-6), 311–315 (1995).
[Crossref]

Ciattoni, A.

A. Ciattoni, C. Rizza, E. DelRe, and E. Palange, “Photorefractive solitons embedded in gratings in centrosymmetric crystals,” Opt. Lett. 31(11), 1690–1692 (2006).
[Crossref] [PubMed]

Cohen, O.

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, “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(21), 213904 (2005).
[Crossref] [PubMed]

Coskun, T. H.

D. N. Christodoulides and T. H. Coskun, “Diffraction-free planar beams in unbiased photorefractive media,” Opt. Lett. 21(18), 1460–1462 (1996).
[Crossref] [PubMed]

Crasovan, L. C.

D. Mihalache, D. Mazilu, F. Lederer, L. C. Crasovan, Y. V. Kartashov, L. Torner, and B. A. Malomed, “Stable solitons of even and odd parities supported by competing nonlocal nonlinearities,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(6), 066614 (2006).
[Crossref] [PubMed]

Crosignani, B.

B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, and A. J. Agranat, “Nonlinear optical diffraction effects and solitons due to anisotropic charge-diffusion-based self-interaction,” Phys. Rev. Lett. 82(8), 1664–1667 (1999).
[Crossref]

B. Crosignani, E. Delre, P. Di Porto, and A. Degasperis, “Self-focusing and self-trapping in unbiased centrosymmetric photorefractive media,” Opt. Lett. 23(12), 912–914 (1998).
[Crossref] [PubMed]

D’Ercole, A.

E. DelRe, A. D’Ercole, and E. Palange, “Mechanisms supporting long propagation regimes of photorefractive solitons,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 71(3), 036610 (2005).
[Crossref] [PubMed]

Degasperis, A.

B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, and A. J. Agranat, “Nonlinear optical diffraction effects and solitons due to anisotropic charge-diffusion-based self-interaction,” Phys. Rev. Lett. 82(8), 1664–1667 (1999).
[Crossref]

B. Crosignani, E. Delre, P. Di Porto, and A. Degasperis, “Self-focusing and self-trapping in unbiased centrosymmetric photorefractive media,” Opt. Lett. 23(12), 912–914 (1998).
[Crossref] [PubMed]

Della Pergola, R.

E. DelRe, M. Tamburrini, M. Segev, R. Della Pergola, and A. Agranat, “Spontaneous self-trapping of optical beams in metastable paraelectric crystals,” Phys. Rev. Lett. 83(10), 1954–1957 (1999).
[Crossref]

DelRe, E.

A. Ciattoni, C. Rizza, E. DelRe, and E. Palange, “Photorefractive solitons embedded in gratings in centrosymmetric crystals,” Opt. Lett. 31(11), 1690–1692 (2006).
[Crossref] [PubMed]

E. DelRe, A. D’Ercole, and E. Palange, “Mechanisms supporting long propagation regimes of photorefractive solitons,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 71(3), 036610 (2005).
[Crossref] [PubMed]

B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, and A. J. Agranat, “Nonlinear optical diffraction effects and solitons due to anisotropic charge-diffusion-based self-interaction,” Phys. Rev. Lett. 82(8), 1664–1667 (1999).
[Crossref]

E. DelRe, M. Tamburrini, M. Segev, R. Della Pergola, and A. Agranat, “Spontaneous self-trapping of optical beams in metastable paraelectric crystals,” Phys. Rev. Lett. 83(10), 1954–1957 (1999).
[Crossref]

B. Crosignani, E. Delre, P. Di Porto, and A. Degasperis, “Self-focusing and self-trapping in unbiased centrosymmetric photorefractive media,” Opt. Lett. 23(12), 912–914 (1998).
[Crossref] [PubMed]

Di Porto, P.

B. Crosignani, A. Degasperis, E. DelRe, P. Di Porto, and A. J. Agranat, “Nonlinear optical diffraction effects and solitons due to anisotropic charge-diffusion-based self-interaction,” Phys. Rev. Lett. 82(8), 1664–1667 (1999).
[Crossref]

B. Crosignani, E. Delre, P. Di Porto, and A. Degasperis, “Self-focusing and self-trapping in unbiased centrosymmetric photorefractive media,” Opt. Lett. 23(12), 912–914 (1998).
[Crossref] [PubMed]

Dong, L.

L. Dong and H. Li, “Surface solitons in nonlinear lattices,” J. Opt. Soc. Am. B 27(6), 1179–1183 (2010).
[Crossref]

Dong, R.

D. Kip, C. E. Rüter, R. Dong, Z. Wang, and J. Xu, “Higher-band gap soliton formation in defocusing photonic lattices,” Opt. Lett. 33(18), 2056–2058 (2008).
[Crossref] [PubMed]

Du, Y.

K. Zhan, C. Hou, and Y. Du, “Self-deflection of steady-state bright spatial soliton in biased centrosymmetric photorefractive crystals,” Opt. Commun. 283(1), 138–141 (2010).
[Crossref]

Dyadyusha, A.

A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, “Two-color vector solitons in nonlocal media,” Phys. Rev. Lett. 97(15), 153903 (2006).
[Crossref] [PubMed]

Facão, M.

M. I. Carvalho, M. Facão, and D. N. Christodoulides, “Self-bending of dark and gray photorefractive solitons,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 76(1), 016602 (2007).
[Crossref] [PubMed]

Garcia Quirino, G. S.

J. J. Sanchez-Mondragon, S. Stepanov, and G. S. Garcia Quirino, “Nonlinear surface optical waves in photorefractive crystals with a diffusion mechanism of nonlinearity,” Phys. Rev. A 51(2), 1571–1577 (1995).
[Crossref] [PubMed]

Guo, Q.

X. Ma, Z. Yang, D. Lu, Q. Guo, and W. Hu, “Solution for (1+1)-dimensional surface solitons in thermal nonlinear media,” Phys. Rev. A 83(3), 033829 (2011).
[Crossref]

Hache, A.

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]

He, Y. J.

Y. J. He, W. H. Chen, H. Z. Wang, and B. A. Malomed, “Surface superlattice gap solitons,” Opt. Lett. 32(11), 1390–1392 (2007).
[Crossref] [PubMed]

W. H. Chen, Y. J. He, and H. Z. Wang, “Surface defect gap solitons,” Opt. Express 14(23), 11271–11276 (2006).
[Crossref] [PubMed]

Hoffmann, J.

W. Jezewski, W. Kuczyński, and J. Hoffmann, “Dielectric relaxation in chevron surface stabilized ferroelectric liquid crystals,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(6), 061702 (2006).
[Crossref] [PubMed]

Hou, C.

K. Zhan, C. Hou, and Y. Du, “Self-deflection of steady-state bright spatial soliton in biased centrosymmetric photorefractive crystals,” Opt. Commun. 283(1), 138–141 (2010).
[Crossref]

Hu, W.

X. Ma, Z. Yang, D. Lu, Q. Guo, and W. Hu, “Solution for (1+1)-dimensional surface solitons in thermal nonlinear media,” Phys. Rev. A 83(3), 033829 (2011).
[Crossref]

Jezewski, W.

W. Jezewski, W. Kuczyński, and J. Hoffmann, “Dielectric relaxation in chevron surface stabilized ferroelectric liquid crystals,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(6), 061702 (2006).
[Crossref] [PubMed]

Kaczmarek, M.

A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, “Two-color vector solitons in nonlocal media,” Phys. Rev. Lett. 97(15), 153903 (2006).
[Crossref] [PubMed]

Kartashov, Y. V.

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83(1), 247–305 (2011).
[Crossref]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface lattice solitons in diffusive nonlinear media,” Opt. Lett. 33(8), 773–775 (2008).
[Crossref] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Ring surface waves in thermal nonlinear media,” Opt. Express 15(24), 16216–16221 (2007).
[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, V. A. Vysloukh, D. Mihalache, and L. Torner, “Generation of surface soliton arrays,” Opt. Lett. 31(15), 2329–2331 (2006).
[Crossref] [PubMed]

Z. Xu, Y. V. Kartashov, and L. Torner, “Gap solitons supported by optical lattices in photorefractive crystals with asymmetric nonlocality,” Opt. Lett. 31(13), 2027–2029 (2006).
[Crossref] [PubMed]

D. Mihalache, D. Mazilu, F. Lederer, L. C. Crasovan, Y. V. Kartashov, L. Torner, and B. A. Malomed, “Stable solitons of even and odd parities supported by competing nonlocal nonlinearities,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(6), 066614 (2006).
[Crossref] [PubMed]

Z. Xu, Y. V. Kartashov, and L. Torner, “Soliton mobility in nonlocal optical lattices,” Phys. Rev. Lett. 95(11), 113901 (2005).
[Crossref] [PubMed]

Kip, D.

D. Kip, C. E. Rüter, R. Dong, Z. Wang, and J. Xu, “Higher-band gap soliton formation in defocusing photonic lattices,” Opt. Lett. 33(18), 2056–2058 (2008).
[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. E. Pelinovsky, A. A. Sukhorukov, and Y. S. Kivshar, “Bifurcations and stability of gap solitons in periodic potentials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70(3), 036618 (2004).
[Crossref] [PubMed]

A. A. Sukhorukov and Y. S. Kivshar, “Nonlinear Localized Waves in a Periodic Medium,” Phys. Rev. Lett. 87(8), 083901 (2001).
[Crossref] [PubMed]

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]

Kuczynski, W.

W. Jezewski, W. Kuczyński, and J. Hoffmann, “Dielectric relaxation in chevron surface stabilized ferroelectric liquid crystals,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 73(6), 061702 (2006).
[Crossref] [PubMed]

Lederer, F.

D. Mihalache, D. Mazilu, F. Lederer, L. C. Crasovan, Y. V. Kartashov, L. Torner, and B. A. Malomed, “Stable solitons of even and odd parities supported by competing nonlocal nonlinearities,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(6), 066614 (2006).
[Crossref] [PubMed]

Li, H.

L. Dong and H. Li, “Surface solitons in nonlinear lattices,” J. Opt. Soc. Am. B 27(6), 1179–1183 (2010).
[Crossref]

Lu, D.

X. Ma, Z. Yang, D. Lu, Q. Guo, and W. Hu, “Solution for (1+1)-dimensional surface solitons in thermal nonlinear media,” Phys. Rev. A 83(3), 033829 (2011).
[Crossref]

Ma, X.

X. Ma, Z. Yang, D. Lu, Q. Guo, and W. Hu, “Solution for (1+1)-dimensional surface solitons in thermal nonlinear media,” Phys. Rev. A 83(3), 033829 (2011).
[Crossref]

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]

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]

Malomed, B. A.

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83(1), 247–305 (2011).
[Crossref]

Y. J. He, W. H. Chen, H. Z. Wang, and B. A. Malomed, “Surface superlattice gap solitons,” Opt. Lett. 32(11), 1390–1392 (2007).
[Crossref] [PubMed]

D. Mihalache, D. Mazilu, F. Lederer, L. C. Crasovan, Y. V. Kartashov, L. Torner, and B. A. Malomed, “Stable solitons of even and odd parities supported by competing nonlocal nonlinearities,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(6), 066614 (2006).
[Crossref] [PubMed]

Manela, O.

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, “Nonlocal surface-wave solitons,” Phys. Rev. Lett. 98(21), 213901 (2007).
[Crossref] [PubMed]

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, “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(21), 213904 (2005).
[Crossref] [PubMed]

Mazilu, D.

D. Mihalache, D. Mazilu, F. Lederer, L. C. Crasovan, Y. V. Kartashov, L. Torner, and B. A. Malomed, “Stable solitons of even and odd parities supported by competing nonlocal nonlinearities,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(6), 066614 (2006).
[Crossref] [PubMed]

Mihalache, D.

D. Mihalache, D. Mazilu, F. Lederer, L. C. Crasovan, Y. V. Kartashov, L. Torner, and B. A. Malomed, “Stable solitons of even and odd parities supported by competing nonlocal nonlinearities,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(6), 066614 (2006).
[Crossref] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, D. Mihalache, and L. Torner, “Generation of surface soliton arrays,” Opt. Lett. 31(15), 2329–2331 (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]

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]

Palange, E.

A. Ciattoni, C. Rizza, E. DelRe, and E. Palange, “Photorefractive solitons embedded in gratings in centrosymmetric crystals,” Opt. Lett. 31(11), 1690–1692 (2006).
[Crossref] [PubMed]

E. DelRe, A. D’Ercole, and E. Palange, “Mechanisms supporting long propagation regimes of photorefractive solitons,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 71(3), 036610 (2005).
[Crossref] [PubMed]

Peccianti, M.

A. Alberucci, M. Peccianti, G. Assanto, A. Dyadyusha, and M. Kaczmarek, “Two-color vector solitons in nonlocal media,” Phys. Rev. Lett. 97(15), 153903 (2006).
[Crossref] [PubMed]

Pelinovsky, D. E.

D. E. Pelinovsky, A. A. Sukhorukov, and Y. S. Kivshar, “Bifurcations and stability of gap solitons in periodic potentials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70(3), 036618 (2004).
[Crossref] [PubMed]

Rizza, C.

A. Ciattoni, C. Rizza, E. DelRe, and E. Palange, “Photorefractive solitons embedded in gratings in centrosymmetric crystals,” Opt. Lett. 31(11), 1690–1692 (2006).
[Crossref] [PubMed]

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]

Rotschild, C.

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, “Nonlocal surface-wave solitons,” Phys. Rev. Lett. 98(21), 213901 (2007).
[Crossref] [PubMed]

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, “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(21), 213904 (2005).
[Crossref] [PubMed]

Rüter, C. E.

D. Kip, C. E. Rüter, R. Dong, Z. Wang, and J. Xu, “Higher-band gap soliton formation in defocusing photonic lattices,” Opt. Lett. 33(18), 2056–2058 (2008).
[Crossref] [PubMed]

Sanchez-Mondragon, J. J.

J. J. Sanchez-Mondragon, S. Stepanov, and G. S. Garcia Quirino, “Nonlinear surface optical waves in photorefractive crystals with a diffusion mechanism of nonlinearity,” Phys. Rev. A 51(2), 1571–1577 (1995).
[Crossref] [PubMed]

Segev, M.

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, “Nonlocal surface-wave solitons,” Phys. Rev. Lett. 98(21), 213901 (2007).
[Crossref] [PubMed]

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, “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(21), 213904 (2005).
[Crossref] [PubMed]

E. DelRe, M. Tamburrini, M. Segev, R. Della Pergola, and A. Agranat, “Spontaneous self-trapping of optical beams in metastable paraelectric crystals,” Phys. Rev. Lett. 83(10), 1954–1957 (1999).
[Crossref]

M. Segev and A. J. Agranat, “Spatial solitons in centrosymmetric photorefractive media,” Opt. Lett. 22(17), 1299–1301 (1997).
[Crossref] [PubMed]

Singh, S. R.

M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, “Self-deflection of steady-state bright spatial solitons in biased photorefractive crystals,” Opt. Commun. 120(5-6), 311–315 (1995).
[Crossref]

Stegeman, G. I.

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

Stepanov, S.

J. J. Sanchez-Mondragon, S. Stepanov, and G. S. Garcia Quirino, “Nonlinear surface optical waves in photorefractive crystals with a diffusion mechanism of nonlinearity,” Phys. Rev. A 51(2), 1571–1577 (1995).
[Crossref] [PubMed]

Sukhorukov, A. A.

D. E. Pelinovsky, A. A. Sukhorukov, and Y. S. Kivshar, “Bifurcations and stability of gap solitons in periodic potentials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70(3), 036618 (2004).
[Crossref] [PubMed]

A. A. Sukhorukov and Y. S. Kivshar, “Nonlinear Localized Waves in a Periodic Medium,” Phys. Rev. Lett. 87(8), 083901 (2001).
[Crossref] [PubMed]

Suntsov, S.

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]

Tamburrini, M.

E. DelRe, M. Tamburrini, M. Segev, R. Della Pergola, and A. Agranat, “Spontaneous self-trapping of optical beams in metastable paraelectric crystals,” Phys. Rev. Lett. 83(10), 1954–1957 (1999).
[Crossref]

Tian, J. G.

W. Q. Chen, X. Yang, S. Y. Zhong, Z. Yan, T. H. Zhang, J. G. Tian, and J. J. Xu, “Surface dark screening solitons,” Opt. Lett. 36(19), 3801–3803 (2011).
[Crossref] [PubMed]

Torner, L.

Y. V. Kartashov, B. A. Malomed, and L. Torner, “Solitons in nonlinear lattices,” Rev. Mod. Phys. 83(1), 247–305 (2011).
[Crossref]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface lattice solitons in diffusive nonlinear media,” Opt. Lett. 33(8), 773–775 (2008).
[Crossref] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Ring surface waves in thermal nonlinear media,” Opt. Express 15(24), 16216–16221 (2007).
[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, V. A. Vysloukh, D. Mihalache, and L. Torner, “Generation of surface soliton arrays,” Opt. Lett. 31(15), 2329–2331 (2006).
[Crossref] [PubMed]

Z. Xu, Y. V. Kartashov, and L. Torner, “Gap solitons supported by optical lattices in photorefractive crystals with asymmetric nonlocality,” Opt. Lett. 31(13), 2027–2029 (2006).
[Crossref] [PubMed]

D. Mihalache, D. Mazilu, F. Lederer, L. C. Crasovan, Y. V. Kartashov, L. Torner, and B. A. Malomed, “Stable solitons of even and odd parities supported by competing nonlocal nonlinearities,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(6), 066614 (2006).
[Crossref] [PubMed]

Z. Xu, Y. V. Kartashov, and L. Torner, “Soliton mobility in nonlocal optical lattices,” Phys. Rev. Lett. 95(11), 113901 (2005).
[Crossref] [PubMed]

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]

Vysloukh, V. A.

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface lattice solitons in diffusive nonlinear media,” Opt. Lett. 33(8), 773–775 (2008).
[Crossref] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Ring surface waves in thermal nonlinear media,” Opt. Express 15(24), 16216–16221 (2007).
[Crossref] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, D. Mihalache, and L. Torner, “Generation of surface soliton arrays,” Opt. Lett. 31(15), 2329–2331 (2006).
[Crossref] [PubMed]

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

Wang, H. Z.

Y. J. He, W. H. Chen, H. Z. Wang, and B. A. Malomed, “Surface superlattice gap solitons,” Opt. Lett. 32(11), 1390–1392 (2007).
[Crossref] [PubMed]

W. H. Chen, Y. J. He, and H. Z. Wang, “Surface defect gap solitons,” Opt. Express 14(23), 11271–11276 (2006).
[Crossref] [PubMed]

Wang, X.

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]

Wang, Z.

D. Kip, C. E. Rüter, R. Dong, Z. Wang, and J. Xu, “Higher-band gap soliton formation in defocusing photonic lattices,” Opt. Lett. 33(18), 2056–2058 (2008).
[Crossref] [PubMed]

Xu, J.

D. Kip, C. E. Rüter, R. Dong, Z. Wang, and J. Xu, “Higher-band gap soliton formation in defocusing photonic lattices,” Opt. Lett. 33(18), 2056–2058 (2008).
[Crossref] [PubMed]

Xu, J. J.

W. Q. Chen, X. Yang, S. Y. Zhong, Z. Yan, T. H. Zhang, J. G. Tian, and J. J. Xu, “Surface dark screening solitons,” Opt. Lett. 36(19), 3801–3803 (2011).
[Crossref] [PubMed]

Xu, Z.

Z. Xu, Y. V. Kartashov, and L. Torner, “Gap solitons supported by optical lattices in photorefractive crystals with asymmetric nonlocality,” Opt. Lett. 31(13), 2027–2029 (2006).
[Crossref] [PubMed]

Z. Xu, Y. V. Kartashov, and L. Torner, “Soliton mobility in nonlocal optical lattices,” Phys. Rev. Lett. 95(11), 113901 (2005).
[Crossref] [PubMed]

Yan, Z.

W. Q. Chen, X. Yang, S. Y. Zhong, Z. Yan, T. H. Zhang, J. G. Tian, and J. J. Xu, “Surface dark screening solitons,” Opt. Lett. 36(19), 3801–3803 (2011).
[Crossref] [PubMed]

Yang, X.

W. Q. Chen, X. Yang, S. Y. Zhong, Z. Yan, T. H. Zhang, J. G. Tian, and J. J. Xu, “Surface dark screening solitons,” Opt. Lett. 36(19), 3801–3803 (2011).
[Crossref] [PubMed]

Yang, Z.

X. Ma, Z. Yang, D. Lu, Q. Guo, and W. Hu, “Solution for (1+1)-dimensional surface solitons in thermal nonlinear media,” Phys. Rev. A 83(3), 033829 (2011).
[Crossref]

Zhan, K.

K. Zhan, C. Hou, and Y. Du, “Self-deflection of steady-state bright spatial soliton in biased centrosymmetric photorefractive crystals,” Opt. Commun. 283(1), 138–141 (2010).
[Crossref]

Zhang, T. H.

W. Q. Chen, X. Yang, S. Y. Zhong, Z. Yan, T. H. Zhang, J. G. Tian, and J. J. Xu, “Surface dark screening solitons,” Opt. Lett. 36(19), 3801–3803 (2011).
[Crossref] [PubMed]

Zhong, S. Y.

W. Q. Chen, X. Yang, S. Y. Zhong, Z. Yan, T. H. Zhang, J. G. Tian, and J. J. Xu, “Surface dark screening solitons,” Opt. Lett. 36(19), 3801–3803 (2011).
[Crossref] [PubMed]

J. Opt. Soc. Am. B (1)

L. Dong and H. Li, “Surface solitons in nonlinear lattices,” J. Opt. Soc. Am. B 27(6), 1179–1183 (2010).
[Crossref]

Opt. Commun. (2)

M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, “Self-deflection of steady-state bright spatial solitons in biased photorefractive crystals,” Opt. Commun. 120(5-6), 311–315 (1995).
[Crossref]

K. Zhan, C. Hou, and Y. Du, “Self-deflection of steady-state bright spatial soliton in biased centrosymmetric photorefractive crystals,” Opt. Commun. 283(1), 138–141 (2010).
[Crossref]

Opt. Express (2)

W. H. Chen, Y. J. He, and H. Z. Wang, “Surface defect gap solitons,” Opt. Express 14(23), 11271–11276 (2006).
[Crossref] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Ring surface waves in thermal nonlinear media,” Opt. Express 15(24), 16216–16221 (2007).
[Crossref] [PubMed]

Opt. Lett. (11)

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]

W. Q. Chen, X. Yang, S. Y. Zhong, Z. Yan, T. H. Zhang, J. G. Tian, and J. J. Xu, “Surface dark screening solitons,” Opt. Lett. 36(19), 3801–3803 (2011).
[Crossref] [PubMed]

Y. J. He, W. H. Chen, H. Z. Wang, and B. A. Malomed, “Surface superlattice gap solitons,” Opt. Lett. 32(11), 1390–1392 (2007).
[Crossref] [PubMed]

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Phys. Rev. A (2)

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Figures (5)

Fig. 1
Fig. 1 (a) Gap structure of a uniform lattice for different lattice depth p. Gray regions show bands and white regions correspond to gaps. (b) Energy flow versus propagation constant for β = −1at S = 1, 1.5 and 5. (c) Existence domain of surface solitons versus S.
Fig. 2
Fig. 2 Examples of surface soliton profiles at (a) S = 1.5, µ = 3.6; (b) S = 1.5, µ = 4.2; (c) S = 0.5, µ = 4.2. (d)– (e) are complex planes of the respective stability eigenvalues corresponding to (a)–(c). (g)– (i) are the stable evolutions of surface solitons under 10% random initial perturbation corresponding to (a)–(c), respectively.
Fig. 3
Fig. 3 (a) Energy flow versus propagation constant for β = 1at S = 0.5, 1.5 and 3. (b) Energy flow curves in low power domain. (c) Existence domain of surface solitons versus S at β = 1.
Fig. 4
Fig. 4 Examples of surface soliton profiles at (a) S = 1.5, µ = 2.5; (b) S = 1.5, µ = 3.534. (c)– (d) are complex planes of the respective stability eigenvalues corresponding to (a)–(b). (e)– (f) are the evolution of surface solitons under 10% random initial perturbation corresponding to (a)–(b), respectively.
Fig. 5
Fig. 5 (a) Energy flow of twisted (solid line) and surface gap (dashed line) solitons versus propagation constant for β = 1. (b) Imaginary part of perturbation growth rate versus propagation constant. (c) Profile of twisted surface soliton at μ = 2.5. (d) Evolution of surface soliton under 10% random initial perturbation corresponding to (c).

Equations (4)

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i q ξ + 1 2 2 q s 2 +pR(s)qβ q ( 1+S | q | 2 ) 2 ( | q | 2 s ) 2 =0,
q(s,ξ)={ u(s)+[ v 1 (ξ) v 2 (ξ) ] e iδξ +[ v 1 * (ξ)+ v 2 * (ξ) ] e i δ * ξ } e iμξ ,
δ v 1 = 1 2 d 2 v 2 d s 2 +[ 4β u 2 ( 1+S u 2 ) 2 ( du ds ) 2 +μpR ] v 2 ,
δ v 2 = 1 2 d 2 v 1 d s 2 +[ 4β u 2 ( 3S u 2 ) ( 1+S u 2 ) 3 ( du ds ) 2 +μpR ] v 1 + 8βS u 3 ( 1+S u 2 ) 2 du ds d v 1 ds ,

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