Abstract

We address nonlocal nonlinear solitons in a lattice consisting of two different semi-infinite periodic lattices imprinted in a nonlocal nonlinear medium. We study in detail the existence and stability of these solitons using bandgap structures. We discover that surface solitons are unstable when modulation has a step on the heterointerface of two different semi-infinite periodic lattices, and there are different types of solitons for “no modulation step” when the input beam exists at different positions.

© 2009 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. D. Boardman, M. Bertolotti, and T. Twardowski, Nonlinear Waves in Solid State Physics (Plenum Press, 1989).
  2. S. Kawata, Near-Field Optics and Surface Plasmon Polaritons (Springer, 2001).
    [CrossRef]
  3. Y. M. Aliev, H. Schluter, and A. Shivarova, Guided-Wave-Produced Plasmas (Springer, 2000).
  4. S. V. Biryukov, Y. V. Gulyaev, V. V. Krylov, and V. P. Plessky, Surface Acoustic Waves in Inhomogeneous Media (Springer, 1995).
    [CrossRef]
  5. W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824-830 (2003).
    [CrossRef] [PubMed]
  6. D. Artigas and L. Torner, “Dyakonov surface waves in photonic metamaterials,” Phys. Rev. Lett. 94, 013901 (2005).
    [CrossRef] [PubMed]
  7. L. C. Crasovan, D. Artigas, D. Mihalache, and L. Torner, “Optical Dyakonov surface wave at magnetic interfaces,” Opt. Lett. 30, 3075-3077 (2005).
    [CrossRef] [PubMed]
  8. P. Yeh, A. Yariv, and A. Y. Cho, “Optical surface waves in periodic layered media,” Appl. Phys. Lett. 32, 104-105 (1978).
    [CrossRef]
  9. 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]
  10. Z. H. Musslimani and J. Yang, “Self-trapping of light in a two-dimensional photonic lattice,” J. Opt. Soc. Am. B 21, 973-981 (2004).
    [CrossRef]
  11. Y. V. Kartashov, A. A. Egorov, L. Torner, and D. N. Christodoulides, “Stable soliton complexes in two-dimensional photonic lattices,” Opt. Lett. 29, 1918-1920 (2004).
    [CrossRef] [PubMed]
  12. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface gap solitons,” Phys. Rev. Lett. 96, 073901 (2006).
    [CrossRef] [PubMed]
  13. Y. V. Kartashov, V. A. Vysloukh, D. Mihalache, and L. Torner, “Generation of surface soliton arrays,” Opt. Lett. 31, 2329-2331 (2006).
    [CrossRef] [PubMed]
  14. Y. V. Kartashov, L. Torner, and V. A. Vysloukh, “Lattice-supported surface solitons in nonlocal nonlinear media,” Opt. Lett. 31, 2595-2597 (2006).
    [CrossRef] [PubMed]
  15. Y. V. Kartashov and L. Torner, “Multipole-mode surface solitons,” Opt. Lett. 31, 2172-2174 (2006).
    [CrossRef] [PubMed]
  16. 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, 123903 (2004).
    [CrossRef] [PubMed]
  17. 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, 123904 (2004).
    [CrossRef] [PubMed]
  18. J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, “Dipole solitons in optically induced two-dimensional photonic lattices,” Opt. Lett. 29, 1662-1664 (2004).
    [CrossRef] [PubMed]
  19. J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, “Necklace-like solitons in optically induced photonic lattices,” Phys. Rev. Lett. 94, 113902 (2005).
    [CrossRef] [PubMed]
  20. A. Szameit, Y. V. Kartashov, F. Dreisow, T. Pertsch, S. Nolte, A. Tunnermann, and L. Torner, “Observation of two-dimensional surface solitons in asymmetric waveguide arrays,” Phys. Rev. Lett. 98, 173903 (2007).
    [CrossRef]
  21. J. F. Henninot, M. Debailleul, and M. Warenghem, “Tunable non-locality of thermal non-linearity in dye-doped nematic liquid crystals,” Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A 375, 631-640 (2002).
    [CrossRef]
  22. M. Peccianti, C. Conti, and G. Assanto, “All-optical switching and logic gating with spatial solitons in liquid crystals,” Appl. Phys. Lett. 81, 3335-3337 (2002).
    [CrossRef]
  23. F. W. Dabby and J. R. Whinnery, “Thermal self-focusing of laser beams in lead glasses,” Appl. Phys. Lett. 13, 284-286 (1968).
    [CrossRef]
  24. C. Rotschild, O. Cohen, and O. Manela, “Solitons in nonlinear media with an infinite range of nonlocality: first observation of coherent elliptic solitions and of vortex-ring solitions,” Phys. Rev. Lett. 95, 213904 (2005).
    [CrossRef] [PubMed]
  25. Z. Xu, Y. V. Kartashov, and L. Torner, “Soliton mobility in nonlocal optical lattices,” Phys. Rev. Lett. 95, 113901 (2005).
    [CrossRef] [PubMed]
  26. M. J. Ablowitz and Z. H. Musslimani, “Spectral renormalization method for computing self-localized solutions to nonlinear systems,” Opt. Lett. 30, 2140-2142 (2005).
    [CrossRef] [PubMed]

2007 (1)

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

2006 (5)

2005 (6)

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

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

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, “Necklace-like solitons in optically induced photonic lattices,” Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef] [PubMed]

D. Artigas and L. Torner, “Dyakonov surface waves in photonic metamaterials,” Phys. Rev. Lett. 94, 013901 (2005).
[CrossRef] [PubMed]

M. J. Ablowitz and Z. H. Musslimani, “Spectral renormalization method for computing self-localized solutions to nonlinear systems,” Opt. Lett. 30, 2140-2142 (2005).
[CrossRef] [PubMed]

L. C. Crasovan, D. Artigas, D. Mihalache, and L. Torner, “Optical Dyakonov surface wave at magnetic interfaces,” Opt. Lett. 30, 3075-3077 (2005).
[CrossRef] [PubMed]

2004 (5)

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, 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, 123904 (2004).
[CrossRef] [PubMed]

Z. H. Musslimani and J. Yang, “Self-trapping of light in a two-dimensional photonic lattice,” J. Opt. Soc. Am. B 21, 973-981 (2004).
[CrossRef]

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, “Dipole solitons in optically induced two-dimensional photonic lattices,” Opt. Lett. 29, 1662-1664 (2004).
[CrossRef] [PubMed]

Y. V. Kartashov, A. A. Egorov, L. Torner, and D. N. Christodoulides, “Stable soliton complexes in two-dimensional photonic lattices,” Opt. Lett. 29, 1918-1920 (2004).
[CrossRef] [PubMed]

2003 (1)

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

2002 (2)

J. F. Henninot, M. Debailleul, and M. Warenghem, “Tunable non-locality of thermal non-linearity in dye-doped nematic liquid crystals,” Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A 375, 631-640 (2002).
[CrossRef]

M. Peccianti, C. Conti, and G. Assanto, “All-optical switching and logic gating with spatial solitons in liquid crystals,” Appl. Phys. Lett. 81, 3335-3337 (2002).
[CrossRef]

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]

1968 (1)

F. W. Dabby and J. R. Whinnery, “Thermal self-focusing of laser beams in lead glasses,” Appl. Phys. Lett. 13, 284-286 (1968).
[CrossRef]

Ablowitz, M. J.

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, 123903 (2004).
[CrossRef] [PubMed]

Aliev, Y. M.

Y. M. Aliev, H. Schluter, and A. Shivarova, Guided-Wave-Produced Plasmas (Springer, 2000).

Artigas, D.

Assanto, G.

M. Peccianti, C. Conti, and G. Assanto, “All-optical switching and logic gating with spatial solitons in liquid crystals,” Appl. Phys. Lett. 81, 3335-3337 (2002).
[CrossRef]

Barnes, W. L.

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

Bartal, G.

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, 123904 (2004).
[CrossRef] [PubMed]

Bertolotti, M.

A. D. Boardman, M. Bertolotti, and T. Twardowski, Nonlinear Waves in Solid State Physics (Plenum Press, 1989).

Bezryadina, A.

Biryukov, S. V.

S. V. Biryukov, Y. V. Gulyaev, V. V. Krylov, and V. P. Plessky, Surface Acoustic Waves in Inhomogeneous Media (Springer, 1995).
[CrossRef]

Boardman, A. D.

A. D. Boardman, M. Bertolotti, and T. Twardowski, Nonlinear Waves in Solid State Physics (Plenum Press, 1989).

Chen, Z.

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, “Necklace-like solitons in optically induced photonic lattices,” Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef] [PubMed]

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, “Dipole solitons in optically induced two-dimensional photonic lattices,” Opt. Lett. 29, 1662-1664 (2004).
[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, 123903 (2004).
[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.

Cohen, O.

C. Rotschild, O. Cohen, and O. Manela, “Solitons in nonlinear media with an infinite range of nonlocality: first observation of coherent elliptic solitions and of vortex-ring solitions,” Phys. Rev. Lett. 95, 213904 (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, 123904 (2004).
[CrossRef] [PubMed]

Conti, C.

M. Peccianti, C. Conti, and G. Assanto, “All-optical switching and logic gating with spatial solitons in liquid crystals,” Appl. Phys. Lett. 81, 3335-3337 (2002).
[CrossRef]

Crasovan, L. C.

Dabby, F. W.

F. W. Dabby and J. R. Whinnery, “Thermal self-focusing of laser beams in lead glasses,” Appl. Phys. Lett. 13, 284-286 (1968).
[CrossRef]

Debailleul, M.

J. F. Henninot, M. Debailleul, and M. Warenghem, “Tunable non-locality of thermal non-linearity in dye-doped nematic liquid crystals,” Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A 375, 631-640 (2002).
[CrossRef]

Dereux, A.

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

Dreisow, F.

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

Ebbesen, T. W.

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

Egorov, A. A.

Fleischer, J. W.

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, 123904 (2004).
[CrossRef] [PubMed]

Frantzeskakis, D. J.

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, “Necklace-like solitons in optically induced photonic lattices,” Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef] [PubMed]

Gulyaev, Y. V.

S. V. Biryukov, Y. V. Gulyaev, V. V. Krylov, and V. P. Plessky, Surface Acoustic Waves in Inhomogeneous Media (Springer, 1995).
[CrossRef]

Henninot, J. F.

J. F. Henninot, M. Debailleul, and M. Warenghem, “Tunable non-locality of thermal non-linearity in dye-doped nematic liquid crystals,” Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A 375, 631-640 (2002).
[CrossRef]

Hudock, J.

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]

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, 123904 (2004).
[CrossRef] [PubMed]

Kartashov, Y. V.

Kawata, S.

S. Kawata, Near-Field Optics and Surface Plasmon Polaritons (Springer, 2001).
[CrossRef]

Kevrekidis, P. G.

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, “Necklace-like solitons in optically induced photonic lattices,” Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef] [PubMed]

Kivshar, Y. S.

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, 123903 (2004).
[CrossRef] [PubMed]

Krylov, V. V.

S. V. Biryukov, Y. V. Gulyaev, V. V. Krylov, and V. P. Plessky, Surface Acoustic Waves in Inhomogeneous Media (Springer, 1995).
[CrossRef]

Makasyuk, I.

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, “Necklace-like solitons in optically induced photonic lattices,” Phys. Rev. Lett. 94, 113902 (2005).
[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, 123903 (2004).
[CrossRef] [PubMed]

J. Yang, I. Makasyuk, A. Bezryadina, and Z. Chen, “Dipole solitons in optically induced two-dimensional photonic lattices,” Opt. Lett. 29, 1662-1664 (2004).
[CrossRef] [PubMed]

Makris, K. G.

Malomed, B. A.

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, “Necklace-like solitons in optically induced photonic lattices,” Phys. Rev. Lett. 94, 113902 (2005).
[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, 2774-2776 (2006).
[CrossRef] [PubMed]

C. Rotschild, O. Cohen, and O. Manela, “Solitons in nonlinear media with an infinite range of nonlocality: first observation of coherent elliptic solitions and of vortex-ring solitions,” Phys. Rev. Lett. 95, 213904 (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, 123904 (2004).
[CrossRef] [PubMed]

Martin, H.

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, “Necklace-like solitons in optically induced photonic lattices,” Phys. Rev. Lett. 94, 113902 (2005).
[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, 123903 (2004).
[CrossRef] [PubMed]

Mihalache, D.

Musslimani, Z. H.

Neshev, D. N.

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, 123903 (2004).
[CrossRef] [PubMed]

Nolte, S.

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

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, 123903 (2004).
[CrossRef] [PubMed]

Peccianti, M.

M. Peccianti, C. Conti, and G. Assanto, “All-optical switching and logic gating with spatial solitons in liquid crystals,” Appl. Phys. Lett. 81, 3335-3337 (2002).
[CrossRef]

Pertsch, T.

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

Plessky, V. P.

S. V. Biryukov, Y. V. Gulyaev, V. V. Krylov, and V. P. Plessky, Surface Acoustic Waves in Inhomogeneous Media (Springer, 1995).
[CrossRef]

Rotschild, C.

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

Schluter, H.

Y. M. Aliev, H. Schluter, and A. Shivarova, Guided-Wave-Produced Plasmas (Springer, 2000).

Segev, M.

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]

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, 123904 (2004).
[CrossRef] [PubMed]

Shivarova, A.

Y. M. Aliev, H. Schluter, and A. Shivarova, Guided-Wave-Produced Plasmas (Springer, 2000).

Stegeman, G. I.

Szameit, A.

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

Torner, L.

Tunnermann, A.

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

Twardowski, T.

A. D. Boardman, M. Bertolotti, and T. Twardowski, Nonlinear Waves in Solid State Physics (Plenum Press, 1989).

Vysloukh, V. A.

Warenghem, M.

J. F. Henninot, M. Debailleul, and M. Warenghem, “Tunable non-locality of thermal non-linearity in dye-doped nematic liquid crystals,” Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A 375, 631-640 (2002).
[CrossRef]

Whinnery, J. R.

F. W. Dabby and J. R. Whinnery, “Thermal self-focusing of laser beams in lead glasses,” Appl. Phys. Lett. 13, 284-286 (1968).
[CrossRef]

Xu, Z.

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

Yang, J.

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]

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]

Appl. Phys. Lett. (3)

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

M. Peccianti, C. Conti, and G. Assanto, “All-optical switching and logic gating with spatial solitons in liquid crystals,” Appl. Phys. Lett. 81, 3335-3337 (2002).
[CrossRef]

F. W. Dabby and J. R. Whinnery, “Thermal self-focusing of laser beams in lead glasses,” Appl. Phys. Lett. 13, 284-286 (1968).
[CrossRef]

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

Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A (1)

J. F. Henninot, M. Debailleul, and M. Warenghem, “Tunable non-locality of thermal non-linearity in dye-doped nematic liquid crystals,” Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A 375, 631-640 (2002).
[CrossRef]

Nature (1)

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

Opt. Lett. (8)

Phys. Rev. Lett. (8)

D. Artigas and L. Torner, “Dyakonov surface waves in photonic metamaterials,” Phys. Rev. Lett. 94, 013901 (2005).
[CrossRef] [PubMed]

J. Yang, I. Makasyuk, P. G. Kevrekidis, H. Martin, B. A. Malomed, D. J. Frantzeskakis, and Z. Chen, “Necklace-like solitons in optically induced photonic lattices,” Phys. Rev. Lett. 94, 113902 (2005).
[CrossRef] [PubMed]

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

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

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

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface gap solitons,” Phys. Rev. Lett. 96, 073901 (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, 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, 123904 (2004).
[CrossRef] [PubMed]

Other (4)

A. D. Boardman, M. Bertolotti, and T. Twardowski, Nonlinear Waves in Solid State Physics (Plenum Press, 1989).

S. Kawata, Near-Field Optics and Surface Plasmon Polaritons (Springer, 2001).
[CrossRef]

Y. M. Aliev, H. Schluter, and A. Shivarova, Guided-Wave-Produced Plasmas (Springer, 2000).

S. V. Biryukov, Y. V. Gulyaev, V. V. Krylov, and V. P. Plessky, Surface Acoustic Waves in Inhomogeneous Media (Springer, 1995).
[CrossRef]

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 (6)

Fig. 1
Fig. 1

Bandgap lattice spectrum at P 1 = 1 (blue online), P 2 = 3 (red online).

Fig. 2
Fig. 2

(a) The corresponding nonlocality degree-eigenvalue diagram. (b) Profiles of fundamental mixed-gap domain solitons and stable propagation of corresponding mixed-gap solitons [(c) at μ = 4.25 , (d) at μ = 4.95 ]. The light beam is incident at η = 0 . (e) Profiles of fundamental mixed-gap domain solitons, and (f) Stable propagation of corresponding mixed-gap solitons at μ = 4.95 . The light beam is incident at η = 6.5 . (g) Hybrids mode and (h) dynamics of unstable mode at μ = 4.05 . T 1 = T 2 = 4 , P 1 = 1 , and P 2 = 3 for all figures.

Fig. 3
Fig. 3

Bandgap lattice spectrum at T 1 = 4 (red online) and T 2 = 2 (blue online).

Fig. 4
Fig. 4

(a) The corresponding nonlocality degree-eigenvalue diagram. (b) Profiles of fundamental mixed-gap domain solitons and stable propagation of corresponding mixed-gap solitons [(c) at μ = 6.73 , (d) at μ = 6.93 ]. The light beam is incident at η = 0 . (e) Profiles of fundamental mixed-gap domain solitons, and (f) stable propagation of corresponding mixed-gap solitons at μ = 6.93 . The light beam is incident at η = 5.5 . (g) Hybrids mode and (h) dynamics of unstable mode at μ = 6.16 . T 1 = T 2 = 4 , P 1 = 1 , and P 2 = 3 for all figures.

Fig. 5
Fig. 5

Bandgap lattice spectrum at (a) P 1 = 0 (red online) and P 2 = 3 (blue online) and (b) P 1 = 1 (red online) and P 2 = 3 (blue online).

Fig. 6
Fig. 6

(a) The corresponding nonlocality degree-eigenvalue diagram. (b) Profiles of fundamental mixed-gap domain solitons and unstable propagation of corresponding mixed-gap solitons [(c) at μ = 0.95 , (d) at μ = 1.45 ] for T 1 = T 2 = 4 , P 1 = 0 and P 2 = 3 . The light beam is incident at η = 0 . (e) Profiles of fundamental mixed-gap domain solitons, and (f) unstable propagation of corresponding mixed-gap solitons at μ = 0.95 for T 1 = T 2 = 4 , P 1 = 1 and P 2 = 3 . The light beam is incident at η = 0 . (g) Hybrids mode and (h) dynamics of stable mode at μ = 1.45 for T 1 = T 2 = 4 , P 1 = 0 and P 2 = 3 . The light beam is incident at η = 6.0

Equations (2)

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

i A ξ = 1 2 2 A η 2 A n V ( η ) A , n 1 α 2 2 n η 2 = A 2 ,
2 w η 2 + 2 w n + 2 V ( η ) w 2 μ w = 0 , 1 α 2 2 n η 2 n + w 2 = 0 .

Metrics