Abstract

We introduce what we believe to be a new type of nonlinear surface wave, photorefractive lattice surface wave, which can form at the interface between uniform linear media and periodic optical lattice with nonlocal photorefractive diffusion nonlinearity. This type of surface wave originates not only from the gaps but also from the bands of the optical bandgap structures, which are different from surface lattice solitons and can be classified into three kinds, i.e., band lattice surface wave, gap lattice surface wave, and outside bandgap lattice surface wave. The diffusion nonlinearity ensures the concentration of light energy near the boundary of optical lattice and brings a downward shift of the optical bandgap structure.

© 2010 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, “Nonlocal surface-wave solitons,” Phys. Rev. Lett. 98, 213901 (2007).
    [Crossref] [PubMed]
  2. W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824–830 (2003).
    [Crossref] [PubMed]
  3. P. Yeh, A. Yariv, and A. Y. Cho, “Optical surface waves in periodic layered media,” Appl. Phys. Lett. 32, 104–105 (1978).
    [Crossref]
  4. G. S. Garcia Quirino, J. J. Sanchez Mondragon, and S. Stepanov, “Nonlinear surface optical waves in photorefractive crystals with a diffusion mechanism of nonlinearity,” Phys. Rev. A 51, 1571–1577 (1995).
    [Crossref] [PubMed]
  5. M. Cronin-Golomb, “Photorefractive surface waves,” Opt. Lett. 20, 2075–2077 (1995).
    [Crossref] [PubMed]
  6. T. H. Zhang, X. K. Ren, B. H. Wang, Z. J. Hu, W. W. Shao, J. Yang, H. Z. Kang, D. P. Yang, Y. Z. Lu, L. Feng, W. J. Wang, and J. J. Xu, “Modes of photorefractive surface waves,” J. Mod. Opt. 54, 1445–1452 (2007).
    [Crossref]
  7. G. S. Garcia Quirino, J. J. Sanchez Mondragon, S. Stepanov, and V. A. Vysloukh, “Guided modes in a dielectric slab with diffusion-type photorefractive nonlinearity,” J. Opt. Soc. Am. B 13, 2530–2535 (1996).
    [Crossref]
  8. T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, D. P. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76, 013827 (2007).
    [Crossref]
  9. T. H. Zhang, B. H. Wang, X. K. Ren, W. W. Shao, Y. H. Xu, Z. J. Hu, H. Z. Kang, J. Yang, L. Feng, F. Jia, R. Guo, and J. J. Xu, “Influence of the external field on photorefractive surface waves,” Opt. Commun. 265, 649–654 (2006).
    [Crossref]
  10. I. I. Smolyaninov, C. H. Lee, and C. C. Davis, “Giant enhancement of surface second harmonic generation in BaTiO3 due to photorefractive surface wave excitation,” Phys. Rev. Lett. 83, 2429–2432 (1999).
    [Crossref]
  11. T. H. Zhang, J. Yang, H. Z. Kang, L. Feng, J. J. Xu, C. P. Zhang, X. K. Ren, B. H. Wang, Y. Z. Lu, F. Jia, and W. W. Shao, “Surface second-harmonic generation in Sr0.6Ba0.4NbO3 with a nonlinear diffusion mechanism,” Phys. Rev. B 73, 153402 (2006).
    [Crossref]
  12. K. G. Makris, S. Suntsov, D. N. Christodoulides, and G. I. Stegeman, “Discrete surface solitons,” Opt. Lett. 30, 2466–2468 (2005).
    [Crossref] [PubMed]
  13. 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, 063901 (2006).
    [Crossref] [PubMed]
  14. S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Power thresholds of families of discrete surface solitons,” Opt. Lett. 32, 3098–3100 (2007).
    [Crossref] [PubMed]
  15. H. Susanto, P. G. Kevrekidis, B. A. Malomed, R. Carretero-González, and D. J. Frantzeskakis, “Discrete surface solitons in two dimensions,” Phys. Rev. E 75, 056605 (2007).
    [Crossref]
  16. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface gap solitons,” Phys. Rev. Lett. 96, 073901 (2006).
    [Crossref] [PubMed]
  17. 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, 083901 (2006).
    [Crossref] [PubMed]
  18. K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, “Surface lattice solitons,” Opt. Lett. 31, 2774–2776 (2006).
    [Crossref] [PubMed]
  19. W. H. Chen, Y. J. He, and H. Z. Wang, “Surface defect gap solitons,” Opt. Express 14, 11271–11276 (2006).
    [Crossref] [PubMed]
  20. E. Smirnov, M. Stepić, C. E. Rüter, and D. Kip, “Observation of staggered surface solitary waves in one-dimensional waveguide arrays,” Opt. Lett. 31, 2338–2340 (2006).
    [Crossref] [PubMed]
  21. 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, 123903 (2007).
    [Crossref] [PubMed]
  22. Y. J. He, W. H. Chen, H. Z. Wang, and B. A. Malomed, “Surface superlattices gap solitons,” Opt. Lett. 32, 1390–1392 (2007).
    [Crossref] [PubMed]
  23. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface lattice solitons in diffusive nonlinear media,” Opt. Lett. 33, 773–775 (2008).
    [Crossref] [PubMed]
  24. P. Zhang, S. Liu, J. Zhao, C. Lou, J. Xu, and Z. Chen, “Optically induced transition between discrete and gap solitons in a nonconventionally biased photorefractive crystal,” Opt. Lett. 33, 878–880 (2008).
    [Crossref] [PubMed]
  25. N. K. Efremidis, “Nonlocal lattice solitons in thermal media,” Phys. Rev. A 77, 063824 (2008).
    [Crossref]
  26. Y. Kominis and K. Hizanidis, “Power-dependent reflection, transmission and trapping dynamics of lattice solitons at interfaces,” Phys. Rev. Lett. 102, 133903 (2009).
    [Crossref] [PubMed]
  27. Y. Kominis, A. Papadopoulos, and K. Hizanidis, “Surface solitons in waveguide arrays: Analytical solutions,” Opt. Express 15, 10041–10051 (2007).
    [Crossref] [PubMed]
  28. P. Yeh, A. Yariv, and C. S. Hong, “Electromagnetic propagation in periodic stratified media. I. General theory,” J. Opt. Soc. Am. 67, 423–438 (1977).
    [Crossref]

2009 (1)

Y. Kominis and K. Hizanidis, “Power-dependent reflection, transmission and trapping dynamics of lattice solitons at interfaces,” Phys. Rev. Lett. 102, 133903 (2009).
[Crossref] [PubMed]

2008 (3)

2007 (8)

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

Y. Kominis, A. Papadopoulos, and K. Hizanidis, “Surface solitons in waveguide arrays: Analytical solutions,” Opt. Express 15, 10041–10051 (2007).
[Crossref] [PubMed]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Power thresholds of families of discrete surface solitons,” Opt. Lett. 32, 3098–3100 (2007).
[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, 123903 (2007).
[Crossref] [PubMed]

H. Susanto, P. G. Kevrekidis, B. A. Malomed, R. Carretero-González, and D. J. Frantzeskakis, “Discrete surface solitons in two dimensions,” Phys. Rev. E 75, 056605 (2007).
[Crossref]

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

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, D. P. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76, 013827 (2007).
[Crossref]

T. H. Zhang, X. K. Ren, B. H. Wang, Z. J. Hu, W. W. Shao, J. Yang, H. Z. Kang, D. P. Yang, Y. Z. Lu, L. Feng, W. J. Wang, and J. J. Xu, “Modes of photorefractive surface waves,” J. Mod. Opt. 54, 1445–1452 (2007).
[Crossref]

2006 (8)

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, 063901 (2006).
[Crossref] [PubMed]

T. H. Zhang, J. Yang, H. Z. Kang, L. Feng, J. J. Xu, C. P. Zhang, X. K. Ren, B. H. Wang, Y. Z. Lu, F. Jia, and W. W. Shao, “Surface second-harmonic generation in Sr0.6Ba0.4NbO3 with a nonlinear diffusion mechanism,” Phys. Rev. B 73, 153402 (2006).
[Crossref]

T. H. Zhang, B. H. Wang, X. K. Ren, W. W. Shao, Y. H. Xu, Z. J. Hu, H. Z. Kang, J. Yang, L. Feng, F. Jia, R. Guo, and J. J. Xu, “Influence of the external field on photorefractive surface waves,” Opt. Commun. 265, 649–654 (2006).
[Crossref]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface gap solitons,” Phys. Rev. Lett. 96, 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, 083901 (2006).
[Crossref] [PubMed]

E. Smirnov, M. Stepić, C. E. Rüter, and D. Kip, “Observation of staggered surface solitary waves in one-dimensional waveguide arrays,” Opt. Lett. 31, 2338–2340 (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, 2774–2776 (2006).
[Crossref] [PubMed]

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

2005 (1)

2003 (1)

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824–830 (2003).
[Crossref] [PubMed]

1999 (1)

I. I. Smolyaninov, C. H. Lee, and C. C. Davis, “Giant enhancement of surface second harmonic generation in BaTiO3 due to photorefractive surface wave excitation,” Phys. Rev. Lett. 83, 2429–2432 (1999).
[Crossref]

1996 (1)

1995 (2)

M. Cronin-Golomb, “Photorefractive surface waves,” Opt. Lett. 20, 2075–2077 (1995).
[Crossref] [PubMed]

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

1978 (1)

P. Yeh, A. Yariv, and A. Y. Cho, “Optical surface waves in periodic layered media,” Appl. Phys. Lett. 32, 104–105 (1978).
[Crossref]

1977 (1)

Alfassi, B.

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

Barnes, W. L.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824–830 (2003).
[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, 123903 (2007).
[Crossref] [PubMed]

Carretero-González, R.

H. Susanto, P. G. Kevrekidis, B. A. Malomed, R. Carretero-González, and D. J. Frantzeskakis, “Discrete surface solitons in two dimensions,” Phys. Rev. E 75, 056605 (2007).
[Crossref]

Chen, W. H.

Chen, Z.

P. Zhang, S. Liu, J. Zhao, C. Lou, J. Xu, and Z. Chen, “Optically induced transition between discrete and gap solitons in a nonconventionally biased photorefractive crystal,” Opt. Lett. 33, 878–880 (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, 123903 (2007).
[Crossref] [PubMed]

Cho, A. Y.

P. Yeh, A. Yariv, and A. Y. Cho, “Optical surface waves in periodic layered media,” Appl. Phys. Lett. 32, 104–105 (1978).
[Crossref]

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, 123903 (2007).
[Crossref] [PubMed]

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

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Power thresholds of families of discrete surface solitons,” Opt. Lett. 32, 3098–3100 (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, 2774–2776 (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, 063901 (2006).
[Crossref] [PubMed]

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

Cronin-Golomb, M.

Davis, C. C.

I. I. Smolyaninov, C. H. Lee, and C. C. Davis, “Giant enhancement of surface second harmonic generation in BaTiO3 due to photorefractive surface wave excitation,” Phys. Rev. Lett. 83, 2429–2432 (1999).
[Crossref]

Dereux, A.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824–830 (2003).
[Crossref] [PubMed]

Ebbesen, T. W.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824–830 (2003).
[Crossref] [PubMed]

Efremidis, N. K.

N. K. Efremidis, “Nonlocal lattice solitons in thermal media,” Phys. Rev. A 77, 063824 (2008).
[Crossref]

Feng, L.

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, D. P. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76, 013827 (2007).
[Crossref]

T. H. Zhang, X. K. Ren, B. H. Wang, Z. J. Hu, W. W. Shao, J. Yang, H. Z. Kang, D. P. Yang, Y. Z. Lu, L. Feng, W. J. Wang, and J. J. Xu, “Modes of photorefractive surface waves,” J. Mod. Opt. 54, 1445–1452 (2007).
[Crossref]

T. H. Zhang, B. H. Wang, X. K. Ren, W. W. Shao, Y. H. Xu, Z. J. Hu, H. Z. Kang, J. Yang, L. Feng, F. Jia, R. Guo, and J. J. Xu, “Influence of the external field on photorefractive surface waves,” Opt. Commun. 265, 649–654 (2006).
[Crossref]

T. H. Zhang, J. Yang, H. Z. Kang, L. Feng, J. J. Xu, C. P. Zhang, X. K. Ren, B. H. Wang, Y. Z. Lu, F. Jia, and W. W. Shao, “Surface second-harmonic generation in Sr0.6Ba0.4NbO3 with a nonlinear diffusion mechanism,” Phys. Rev. B 73, 153402 (2006).
[Crossref]

Frantzeskakis, D. J.

H. Susanto, P. G. Kevrekidis, B. A. Malomed, R. Carretero-González, and D. J. Frantzeskakis, “Discrete surface solitons in two dimensions,” Phys. Rev. E 75, 056605 (2007).
[Crossref]

Garcia Quirino, G. S.

G. S. Garcia Quirino, J. J. Sanchez Mondragon, S. Stepanov, and V. A. Vysloukh, “Guided modes in a dielectric slab with diffusion-type photorefractive nonlinearity,” J. Opt. Soc. Am. B 13, 2530–2535 (1996).
[Crossref]

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

Guo, R.

T. H. Zhang, B. H. Wang, X. K. Ren, W. W. Shao, Y. H. Xu, Z. J. Hu, H. Z. Kang, J. Yang, L. Feng, F. Jia, R. Guo, and J. J. Xu, “Influence of the external field on photorefractive surface waves,” Opt. Commun. 265, 649–654 (2006).
[Crossref]

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, 063901 (2006).
[Crossref] [PubMed]

He, Y. J.

Hizanidis, K.

Y. Kominis and K. Hizanidis, “Power-dependent reflection, transmission and trapping dynamics of lattice solitons at interfaces,” Phys. Rev. Lett. 102, 133903 (2009).
[Crossref] [PubMed]

Y. Kominis, A. Papadopoulos, and K. Hizanidis, “Surface solitons in waveguide arrays: Analytical solutions,” Opt. Express 15, 10041–10051 (2007).
[Crossref] [PubMed]

Hong, C. S.

Hu, Z. J.

T. H. Zhang, X. K. Ren, B. H. Wang, Z. J. Hu, W. W. Shao, J. Yang, H. Z. Kang, D. P. Yang, Y. Z. Lu, L. Feng, W. J. Wang, and J. J. Xu, “Modes of photorefractive surface waves,” J. Mod. Opt. 54, 1445–1452 (2007).
[Crossref]

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, D. P. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76, 013827 (2007).
[Crossref]

T. H. Zhang, B. H. Wang, X. K. Ren, W. W. Shao, Y. H. Xu, Z. J. Hu, H. Z. Kang, J. Yang, L. Feng, F. Jia, R. Guo, and J. J. Xu, “Influence of the external field on photorefractive surface waves,” Opt. Commun. 265, 649–654 (2006).
[Crossref]

Hudock, J.

Jia, F.

T. H. Zhang, B. H. Wang, X. K. Ren, W. W. Shao, Y. H. Xu, Z. J. Hu, H. Z. Kang, J. Yang, L. Feng, F. Jia, R. Guo, and J. J. Xu, “Influence of the external field on photorefractive surface waves,” Opt. Commun. 265, 649–654 (2006).
[Crossref]

T. H. Zhang, J. Yang, H. Z. Kang, L. Feng, J. J. Xu, C. P. Zhang, X. K. Ren, B. H. Wang, Y. Z. Lu, F. Jia, and W. W. Shao, “Surface second-harmonic generation in Sr0.6Ba0.4NbO3 with a nonlinear diffusion mechanism,” Phys. Rev. B 73, 153402 (2006).
[Crossref]

Kang, H. Z.

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, D. P. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76, 013827 (2007).
[Crossref]

T. H. Zhang, X. K. Ren, B. H. Wang, Z. J. Hu, W. W. Shao, J. Yang, H. Z. Kang, D. P. Yang, Y. Z. Lu, L. Feng, W. J. Wang, and J. J. Xu, “Modes of photorefractive surface waves,” J. Mod. Opt. 54, 1445–1452 (2007).
[Crossref]

T. H. Zhang, B. H. Wang, X. K. Ren, W. W. Shao, Y. H. Xu, Z. J. Hu, H. Z. Kang, J. Yang, L. Feng, F. Jia, R. Guo, and J. J. Xu, “Influence of the external field on photorefractive surface waves,” Opt. Commun. 265, 649–654 (2006).
[Crossref]

T. H. Zhang, J. Yang, H. Z. Kang, L. Feng, J. J. Xu, C. P. Zhang, X. K. Ren, B. H. Wang, Y. Z. Lu, F. Jia, and W. W. Shao, “Surface second-harmonic generation in Sr0.6Ba0.4NbO3 with a nonlinear diffusion mechanism,” Phys. Rev. B 73, 153402 (2006).
[Crossref]

Kartashov, Y. V.

Kevrekidis, P. G.

H. Susanto, P. G. Kevrekidis, B. A. Malomed, R. Carretero-González, and D. J. Frantzeskakis, “Discrete surface solitons in two dimensions,” Phys. Rev. E 75, 056605 (2007).
[Crossref]

Kip, D.

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, 083901 (2006).
[Crossref] [PubMed]

Kominis, Y.

Y. Kominis and K. Hizanidis, “Power-dependent reflection, transmission and trapping dynamics of lattice solitons at interfaces,” Phys. Rev. Lett. 102, 133903 (2009).
[Crossref] [PubMed]

Y. Kominis, A. Papadopoulos, and K. Hizanidis, “Surface solitons in waveguide arrays: Analytical solutions,” Opt. Express 15, 10041–10051 (2007).
[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, 083901 (2006).
[Crossref] [PubMed]

Lee, C. H.

I. I. Smolyaninov, C. H. Lee, and C. C. Davis, “Giant enhancement of surface second harmonic generation in BaTiO3 due to photorefractive surface wave excitation,” Phys. Rev. Lett. 83, 2429–2432 (1999).
[Crossref]

Liu, S.

Lou, C.

Lou, C. B.

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, D. P. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76, 013827 (2007).
[Crossref]

Lu, Y. Z.

T. H. Zhang, X. K. Ren, B. H. Wang, Z. J. Hu, W. W. Shao, J. Yang, H. Z. Kang, D. P. Yang, Y. Z. Lu, L. Feng, W. J. Wang, and J. J. Xu, “Modes of photorefractive surface waves,” J. Mod. Opt. 54, 1445–1452 (2007).
[Crossref]

T. H. Zhang, J. Yang, H. Z. Kang, L. Feng, J. J. Xu, C. P. Zhang, X. K. Ren, B. H. Wang, Y. Z. Lu, F. Jia, and W. W. Shao, “Surface second-harmonic generation in Sr0.6Ba0.4NbO3 with a nonlinear diffusion mechanism,” Phys. Rev. B 73, 153402 (2006).
[Crossref]

Makris, K. G.

Malomed, B. A.

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

H. Susanto, P. G. Kevrekidis, B. A. Malomed, R. Carretero-González, and D. J. Frantzeskakis, “Discrete surface solitons in two dimensions,” Phys. Rev. E 75, 056605 (2007).
[Crossref]

Manela, O.

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, “Nonlocal surface-wave solitons,” Phys. Rev. Lett. 98, 213901 (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, 2774–2776 (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, 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, 083901 (2006).
[Crossref] [PubMed]

Morandotti, R.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Power thresholds of families of discrete surface solitons,” Opt. Lett. 32, 3098–3100 (2007).
[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, 063901 (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, 083901 (2006).
[Crossref] [PubMed]

Papadopoulos, A.

Ren, X. K.

T. H. Zhang, X. K. Ren, B. H. Wang, Z. J. Hu, W. W. Shao, J. Yang, H. Z. Kang, D. P. Yang, Y. Z. Lu, L. Feng, W. J. Wang, and J. J. Xu, “Modes of photorefractive surface waves,” J. Mod. Opt. 54, 1445–1452 (2007).
[Crossref]

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, D. P. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76, 013827 (2007).
[Crossref]

T. H. Zhang, B. H. Wang, X. K. Ren, W. W. Shao, Y. H. Xu, Z. J. Hu, H. Z. Kang, J. Yang, L. Feng, F. Jia, R. Guo, and J. J. Xu, “Influence of the external field on photorefractive surface waves,” Opt. Commun. 265, 649–654 (2006).
[Crossref]

T. H. Zhang, J. Yang, H. Z. Kang, L. Feng, J. J. Xu, C. P. Zhang, X. K. Ren, B. H. Wang, Y. Z. Lu, F. Jia, and W. W. Shao, “Surface second-harmonic generation in Sr0.6Ba0.4NbO3 with a nonlinear diffusion mechanism,” Phys. Rev. B 73, 153402 (2006).
[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, 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, 213901 (2007).
[Crossref] [PubMed]

Rüter, C. E.

Salamo, G.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Power thresholds of families of discrete surface solitons,” Opt. Lett. 32, 3098–3100 (2007).
[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, 063901 (2006).
[Crossref] [PubMed]

Sanchez Mondragon, J. J.

G. S. Garcia Quirino, J. J. Sanchez Mondragon, S. Stepanov, and V. A. Vysloukh, “Guided modes in a dielectric slab with diffusion-type photorefractive nonlinearity,” J. Opt. Soc. Am. B 13, 2530–2535 (1996).
[Crossref]

G. S. Garcia Quirino, J. J. Sanchez Mondragon, and S. Stepanov, “Nonlinear surface optical waves in photorefractive crystals with a diffusion mechanism of nonlinearity,” Phys. Rev. A 51, 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, 213901 (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, 2774–2776 (2006).
[Crossref] [PubMed]

Shao, W. W.

T. H. Zhang, X. K. Ren, B. H. Wang, Z. J. Hu, W. W. Shao, J. Yang, H. Z. Kang, D. P. Yang, Y. Z. Lu, L. Feng, W. J. Wang, and J. J. Xu, “Modes of photorefractive surface waves,” J. Mod. Opt. 54, 1445–1452 (2007).
[Crossref]

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, D. P. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76, 013827 (2007).
[Crossref]

T. H. Zhang, B. H. Wang, X. K. Ren, W. W. Shao, Y. H. Xu, Z. J. Hu, H. Z. Kang, J. Yang, L. Feng, F. Jia, R. Guo, and J. J. Xu, “Influence of the external field on photorefractive surface waves,” Opt. Commun. 265, 649–654 (2006).
[Crossref]

T. H. Zhang, J. Yang, H. Z. Kang, L. Feng, J. J. Xu, C. P. Zhang, X. K. Ren, B. H. Wang, Y. Z. Lu, F. Jia, and W. W. Shao, “Surface second-harmonic generation in Sr0.6Ba0.4NbO3 with a nonlinear diffusion mechanism,” Phys. Rev. B 73, 153402 (2006).
[Crossref]

Smirnov, E.

Smolyaninov, I. I.

I. I. Smolyaninov, C. H. Lee, and C. C. Davis, “Giant enhancement of surface second harmonic generation in BaTiO3 due to photorefractive surface wave excitation,” Phys. Rev. Lett. 83, 2429–2432 (1999).
[Crossref]

Sorel, M.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Power thresholds of families of discrete surface solitons,” Opt. Lett. 32, 3098–3100 (2007).
[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, 063901 (2006).
[Crossref] [PubMed]

Stegeman, G. I.

Stepanov, S.

G. S. Garcia Quirino, J. J. Sanchez Mondragon, S. Stepanov, and V. A. Vysloukh, “Guided modes in a dielectric slab with diffusion-type photorefractive nonlinearity,” J. Opt. Soc. Am. B 13, 2530–2535 (1996).
[Crossref]

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

Stepic, M.

Suntsov, S.

Susanto, H.

H. Susanto, P. G. Kevrekidis, B. A. Malomed, R. Carretero-González, and D. J. Frantzeskakis, “Discrete surface solitons in two dimensions,” Phys. Rev. E 75, 056605 (2007).
[Crossref]

Torner, L.

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, 083901 (2006).
[Crossref] [PubMed]

Vysloukh, V. A.

Wang, B. H.

T. H. Zhang, X. K. Ren, B. H. Wang, Z. J. Hu, W. W. Shao, J. Yang, H. Z. Kang, D. P. Yang, Y. Z. Lu, L. Feng, W. J. Wang, and J. J. Xu, “Modes of photorefractive surface waves,” J. Mod. Opt. 54, 1445–1452 (2007).
[Crossref]

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, D. P. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76, 013827 (2007).
[Crossref]

T. H. Zhang, B. H. Wang, X. K. Ren, W. W. Shao, Y. H. Xu, Z. J. Hu, H. Z. Kang, J. Yang, L. Feng, F. Jia, R. Guo, and J. J. Xu, “Influence of the external field on photorefractive surface waves,” Opt. Commun. 265, 649–654 (2006).
[Crossref]

T. H. Zhang, J. Yang, H. Z. Kang, L. Feng, J. J. Xu, C. P. Zhang, X. K. Ren, B. H. Wang, Y. Z. Lu, F. Jia, and W. W. Shao, “Surface second-harmonic generation in Sr0.6Ba0.4NbO3 with a nonlinear diffusion mechanism,” Phys. Rev. B 73, 153402 (2006).
[Crossref]

Wang, H. Z.

Wang, W. J.

T. H. Zhang, X. K. Ren, B. H. Wang, Z. J. Hu, W. W. Shao, J. Yang, H. Z. Kang, D. P. Yang, Y. Z. Lu, L. Feng, W. J. Wang, and J. J. Xu, “Modes of photorefractive surface waves,” J. Mod. Opt. 54, 1445–1452 (2007).
[Crossref]

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, 123903 (2007).
[Crossref] [PubMed]

Xu, J.

Xu, J. J.

T. H. Zhang, X. K. Ren, B. H. Wang, Z. J. Hu, W. W. Shao, J. Yang, H. Z. Kang, D. P. Yang, Y. Z. Lu, L. Feng, W. J. Wang, and J. J. Xu, “Modes of photorefractive surface waves,” J. Mod. Opt. 54, 1445–1452 (2007).
[Crossref]

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, D. P. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76, 013827 (2007).
[Crossref]

T. H. Zhang, J. Yang, H. Z. Kang, L. Feng, J. J. Xu, C. P. Zhang, X. K. Ren, B. H. Wang, Y. Z. Lu, F. Jia, and W. W. Shao, “Surface second-harmonic generation in Sr0.6Ba0.4NbO3 with a nonlinear diffusion mechanism,” Phys. Rev. B 73, 153402 (2006).
[Crossref]

T. H. Zhang, B. H. Wang, X. K. Ren, W. W. Shao, Y. H. Xu, Z. J. Hu, H. Z. Kang, J. Yang, L. Feng, F. Jia, R. Guo, and J. J. Xu, “Influence of the external field on photorefractive surface waves,” Opt. Commun. 265, 649–654 (2006).
[Crossref]

Xu, Y. H.

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, D. P. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76, 013827 (2007).
[Crossref]

T. H. Zhang, B. H. Wang, X. K. Ren, W. W. Shao, Y. H. Xu, Z. J. Hu, H. Z. Kang, J. Yang, L. Feng, F. Jia, R. Guo, and J. J. Xu, “Influence of the external field on photorefractive surface waves,” Opt. Commun. 265, 649–654 (2006).
[Crossref]

Yang, D. P.

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, D. P. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76, 013827 (2007).
[Crossref]

T. H. Zhang, X. K. Ren, B. H. Wang, Z. J. Hu, W. W. Shao, J. Yang, H. Z. Kang, D. P. Yang, Y. Z. Lu, L. Feng, W. J. Wang, and J. J. Xu, “Modes of photorefractive surface waves,” J. Mod. Opt. 54, 1445–1452 (2007).
[Crossref]

Yang, H.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, “Power thresholds of families of discrete surface solitons,” Opt. Lett. 32, 3098–3100 (2007).
[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, 063901 (2006).
[Crossref] [PubMed]

Yang, J.

T. H. Zhang, X. K. Ren, B. H. Wang, Z. J. Hu, W. W. Shao, J. Yang, H. Z. Kang, D. P. Yang, Y. Z. Lu, L. Feng, W. J. Wang, and J. J. Xu, “Modes of photorefractive surface waves,” J. Mod. Opt. 54, 1445–1452 (2007).
[Crossref]

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, D. P. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76, 013827 (2007).
[Crossref]

T. H. Zhang, B. H. Wang, X. K. Ren, W. W. Shao, Y. H. Xu, Z. J. Hu, H. Z. Kang, J. Yang, L. Feng, F. Jia, R. Guo, and J. J. Xu, “Influence of the external field on photorefractive surface waves,” Opt. Commun. 265, 649–654 (2006).
[Crossref]

T. H. Zhang, J. Yang, H. Z. Kang, L. Feng, J. J. Xu, C. P. Zhang, X. K. Ren, B. H. Wang, Y. Z. Lu, F. Jia, and W. W. Shao, “Surface second-harmonic generation in Sr0.6Ba0.4NbO3 with a nonlinear diffusion mechanism,” Phys. Rev. B 73, 153402 (2006).
[Crossref]

Yariv, A.

P. Yeh, A. Yariv, and A. Y. Cho, “Optical surface waves in periodic layered media,” Appl. Phys. Lett. 32, 104–105 (1978).
[Crossref]

P. Yeh, A. Yariv, and C. S. Hong, “Electromagnetic propagation in periodic stratified media. I. General theory,” J. Opt. Soc. Am. 67, 423–438 (1977).
[Crossref]

Yeh, P.

P. Yeh, A. Yariv, and A. Y. Cho, “Optical surface waves in periodic layered media,” Appl. Phys. Lett. 32, 104–105 (1978).
[Crossref]

P. Yeh, A. Yariv, and C. S. Hong, “Electromagnetic propagation in periodic stratified media. I. General theory,” J. Opt. Soc. Am. 67, 423–438 (1977).
[Crossref]

Zhang, C. P.

T. H. Zhang, J. Yang, H. Z. Kang, L. Feng, J. J. Xu, C. P. Zhang, X. K. Ren, B. H. Wang, Y. Z. Lu, F. Jia, and W. W. Shao, “Surface second-harmonic generation in Sr0.6Ba0.4NbO3 with a nonlinear diffusion mechanism,” Phys. Rev. B 73, 153402 (2006).
[Crossref]

Zhang, P.

Zhang, T. H.

T. H. Zhang, X. K. Ren, B. H. Wang, Z. J. Hu, W. W. Shao, J. Yang, H. Z. Kang, D. P. Yang, Y. Z. Lu, L. Feng, W. J. Wang, and J. J. Xu, “Modes of photorefractive surface waves,” J. Mod. Opt. 54, 1445–1452 (2007).
[Crossref]

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, D. P. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76, 013827 (2007).
[Crossref]

T. H. Zhang, B. H. Wang, X. K. Ren, W. W. Shao, Y. H. Xu, Z. J. Hu, H. Z. Kang, J. Yang, L. Feng, F. Jia, R. Guo, and J. J. Xu, “Influence of the external field on photorefractive surface waves,” Opt. Commun. 265, 649–654 (2006).
[Crossref]

T. H. Zhang, J. Yang, H. Z. Kang, L. Feng, J. J. Xu, C. P. Zhang, X. K. Ren, B. H. Wang, Y. Z. Lu, F. Jia, and W. W. Shao, “Surface second-harmonic generation in Sr0.6Ba0.4NbO3 with a nonlinear diffusion mechanism,” Phys. Rev. B 73, 153402 (2006).
[Crossref]

Zhao, J.

Appl. Phys. Lett. (1)

P. Yeh, A. Yariv, and A. Y. Cho, “Optical surface waves in periodic layered media,” Appl. Phys. Lett. 32, 104–105 (1978).
[Crossref]

J. Mod. Opt. (1)

T. H. Zhang, X. K. Ren, B. H. Wang, Z. J. Hu, W. W. Shao, J. Yang, H. Z. Kang, D. P. Yang, Y. Z. Lu, L. Feng, W. J. Wang, and J. J. Xu, “Modes of photorefractive surface waves,” J. Mod. Opt. 54, 1445–1452 (2007).
[Crossref]

J. Opt. Soc. Am. (1)

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

Nature (1)

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824–830 (2003).
[Crossref] [PubMed]

Opt. Commun. (1)

T. H. Zhang, B. H. Wang, X. K. Ren, W. W. Shao, Y. H. Xu, Z. J. Hu, H. Z. Kang, J. Yang, L. Feng, F. Jia, R. Guo, and J. J. Xu, “Influence of the external field on photorefractive surface waves,” Opt. Commun. 265, 649–654 (2006).
[Crossref]

Opt. Express (2)

Opt. Lett. (8)

Phys. Rev. A (3)

T. H. Zhang, X. K. Ren, B. H. Wang, C. B. Lou, Z. J. Hu, W. W. Shao, Y. H. Xu, H. Z. Kang, J. Yang, D. P. Yang, L. Feng, and J. J. Xu, “Surface waves with photorefractive nonlinearity,” Phys. Rev. A 76, 013827 (2007).
[Crossref]

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

N. K. Efremidis, “Nonlocal lattice solitons in thermal media,” Phys. Rev. A 77, 063824 (2008).
[Crossref]

Phys. Rev. B (1)

T. H. Zhang, J. Yang, H. Z. Kang, L. Feng, J. J. Xu, C. P. Zhang, X. K. Ren, B. H. Wang, Y. Z. Lu, F. Jia, and W. W. Shao, “Surface second-harmonic generation in Sr0.6Ba0.4NbO3 with a nonlinear diffusion mechanism,” Phys. Rev. B 73, 153402 (2006).
[Crossref]

Phys. Rev. E (1)

H. Susanto, P. G. Kevrekidis, B. A. Malomed, R. Carretero-González, and D. J. Frantzeskakis, “Discrete surface solitons in two dimensions,” Phys. Rev. E 75, 056605 (2007).
[Crossref]

Phys. Rev. Lett. (7)

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface gap solitons,” Phys. Rev. Lett. 96, 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, 083901 (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, 063901 (2006).
[Crossref] [PubMed]

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

I. I. Smolyaninov, C. H. Lee, and C. C. Davis, “Giant enhancement of surface second harmonic generation in BaTiO3 due to photorefractive surface wave excitation,” Phys. Rev. Lett. 83, 2429–2432 (1999).
[Crossref]

Y. Kominis and K. Hizanidis, “Power-dependent reflection, transmission and trapping dynamics of lattice solitons at interfaces,” Phys. Rev. Lett. 102, 133903 (2009).
[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, 123903 (2007).
[Crossref] [PubMed]

Cited By

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

Alert me when this article is cited.


Figures (12)

Fig. 1
Fig. 1

Semi-infinite optical lattice. n 0 is the refractive index of the homogeneous linear media; n 1 is the minimum refractive index of the waveguide arrays. The interface of homogeneous and modulated sample is located at x = 0 .

Fig. 2
Fig. 2

Bandgap structure of optical lattice with n 0 = n 1 . The guided modes exist in the region marked with gray color. The linear guide modes exist in the region surrounded by red line and the nonlinear SWs exist in the region surrounded by blue line. (a) Whole linear bandgap structure; (b) shifts of the first band; (c) shifts of the second band.

Fig. 3
Fig. 3

Guided modes in waveguide arrays originating from the (a) first and (b) second bands for linear case.

Fig. 4
Fig. 4

PR lattice SWs originating from the first band. (a) n eff = 2.303 141 50 ; (b) n eff = 2.303 141 30 ; (c) n eff = 2.303 141 01 ; (d) n eff = 2.303 140 80 .

Fig. 5
Fig. 5

PR lattice SWs originating from the second band. (a) n eff = 2.301 590 63 ; (b) n eff = 2.301 589 82 ; (c) n eff = 2.301 588 31 ; (d) n eff = 2.301 581 58 .

Fig. 6
Fig. 6

Bandgap structures of optical lattice with n 0 = 1.0 < n 1 : red line is for linear case and blue line is for nonlinear case. (a) Whole linear bandgap structure; (b) shifts of the first band and first BR gap; (c) shifts of the second band and second BR gap.

Fig. 7
Fig. 7

Profiles of PR lattice SWs with separation coefficient of a = 5 μ m and n 0 = 1.0 . (a) and (b) are the PR lattice SWs originating from the first and second bands, respectively. (c) and (d) are the linear (red line) and nonlinear (blue line) surface states originating from the first and second BR gaps, respectively.

Fig. 8
Fig. 8

Bandgap structure of optical lattice with n 0 = 2.3005 > n 1 : red line is for linear case and blue line is for nonlinear case. (a) Whole linear bandgap structure. (b) Shifts of the first band and TIR gap. (c) Shifts of the second band and the first BR gap.

Fig. 9
Fig. 9

Profiles of PR lattice SWs with a = 5 μ m and n 0 = 2.3005 > n 1 : (a) and (b) are the band PR lattice SWs originating from the first and second bands, respectively. (c) and (d) are the linear (red line) and nonlinear (blue line) surface states originating from the TIR gap and the first BR gap, respectively.

Fig. 10
Fig. 10

(a) and (b) are the linear (red line) and nonlinear (blue line) surface states originating from the first and second BR gaps, respectively, with the separation coefficient of a = 2 μ m and n 0 = 1.0 . (c) and (d) are the linear (red line) and nonlinear (blue line) surface states originating from the TIR gap and the first BR gap, respectively, with the separation coefficient of a = 3 μ m and n 0 = 2.3005 .

Fig. 11
Fig. 11

(a) Profiles of the outside bandgap PR lattice SW with n eff = 2.2970 ; (b) profiles of the outside bandgap PR lattice SW with n eff = 2.2930 ; (c) profile of the PR SW with n eff = 2.2970 ; (d) profile of the radiation modes in lattice substrate without nonlinearity with n eff = 2.2970 .

Fig. 12
Fig. 12

The linear stability analysis and the propagation of the perturbed PR lattice SWs. (a), (b), (c), and (d) correspond to the SWs modes in Figs. 4d, 5a, 9c, 9d, respectively. 1, for linear stability analysis; 2, for propagation.

Equations (7)

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

2 E ( x , z ) z 2 + 2 E ( x , z ) x 2 + k 2 E ( x , z ) = 0 ,
E s c ( x ) = k B T e x ln [ I ( x ) + I d ] ,
2 A ( x ) x 2 + 2 γ A 2 ( x ) A 2 ( x ) + 1 A ( x ) x + [ k 0 2 n 2 ( x ) β 2 ] A ( x ) = 0 ,
K ( x ) = [ k 0 2 n 2 ( x ) β 2 ] .
K ( x ) = k 0 2 n 2 ( x ) β 2 [ γ A ( x ) 2 A 2 ( x ) + 1 ] 2 .
λ u = z u = 1 2 β ( 2 x 2 + k 0 2 n 2 β 2 + 2 γ A A 2 ( x ) + 1 A x ) v ,
λ v = z v = 1 2 β ( 2 x 2 + k 0 2 n 2 β 2 + 2 γ A 2 A 2 ( x ) + 1 x + 2 γ 2 A A 2 ( x ) + 1 A x ) u ,

Metrics