Abstract

Discrete spatial solitons traveling along the interface between two dissimilar one-dimensional arrays of waveguides were observed for the first time. Two interface solitons were found theoretically, each one with a peak in a different boundary channel. One evolves into a soliton from a linear mode at an array separation larger than a critical separation where-as the second soliton always exhibits a power threshold. These solitons exhibited different power thresholds which depended on the characteristics of the two lattices. For excitation of single channels near and at the boundary, the evolution behavior with propagation distance indicates that the solitons peaked near and at the interface experience an attractive potential on one side of the boundary, and a repulsive one on the opposite side. The power dependence of the solitons at variable distance from the boundary was found to be quite different on opposite sides of the interface and showed evidence for soliton switching between channels with increasing input power.

© 2008 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. P. St. J. Russell, "Photonic Crystal Fibers," Science 299, 358-362 (2003).
    [CrossRef] [PubMed]
  2. D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behavior in linear and nonlinear waveguide lattices," Nature 424, 817-823 (2003).
    [CrossRef] [PubMed]
  3. J. D. Joannopoulos, P. R. Villeneuve, and S. H. Fan, "Photonic crystals: putting a new twist on light," Nature 386, 143-149 (1997).
    [CrossRef]
  4. W. L. Barnes, A. Dereux, and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature 424, 824-830 (2003).
    [CrossRef] [PubMed]
  5. A. D. Boardman, P. Egan, F. Lederer, U. Langbein, and D. Mihalache, Nonlinear Surface Electromagnetic Phenomena, H. E. Ponath and G. I. Stegeman, ed. (North-Holland, Amsterdam, 1991), Vol. 29, p.73.
  6. F. Lederer, L. Leine, R. Muschall, T. Peschel, C. Schmidt-Hattenberger, T. Trutschel, A. D. Boardman, and C. Wächter, "Strongly nonlinear effects with weak nonlinearities in smart waveguides," Opt. Commun. 99, 95-100 (1993).
    [CrossRef]
  7. K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, "Discrete surface solitons," Opt. Lett. 30, 2466-68 (2005).
    [CrossRef] [PubMed]
  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]
  9. 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]
  10. G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, Y.-H. Min, and W. Sohler, "Observation of discrete quadratic surface solitons," Opt. Express 14, 5508-16 (2006).
    [CrossRef] [PubMed]
  11. Q2Reviewed in S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, "Observation of One- And Two-Dimensional Discrete Surface Spatial Solitons," J. Nonlin. Opt. Phys. & Mats. 16, 401-426 (2007);F. Lederer, G. I Stegeman, D. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Physics Reports, in press, (2008).
    [CrossRef]
  12. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Surface Gap Solitons," Phys. Rev. Lett. 96, 073901 (2006).
    [CrossRef] [PubMed]
  13. E. Smirnov, M. Stepi�?, C. E. Rüter, D. Kip, and V. Shandarov, "Observation of staggered surface solitary waves in one-dimensional waveguide arrays," Opt. Lett. 31, 2338-2340 (2006).
    [CrossRef] [PubMed]
  14. 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]
  15. A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Y. S. Kivshar, "Polychromatic nonlinear surface modes generated by supercontinuum light," Opt. Express 14, 11265-70 (2006).
    [CrossRef] [PubMed]
  16. 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]
  17. 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]
  18. S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, "Optical modes at the interface between two dissimilar discrete meta-materials," Opt. Express 15, 4663-70 (2007).
    [CrossRef] [PubMed]
  19. K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, "Surface lattice solitons," Opt. Lett. 31, 2774-76 (2006).
    [CrossRef] [PubMed]
  20. Y. V. Kartashov and L. Torner, "Multipole-mode surface solitons," Opt. Lett. 31, 2172-74 (2006).
    [CrossRef] [PubMed]
  21. M. I. Molina and Y. S. Kivshar, "Interface localized modes and hybrid lattice solitons in waveguide arrays," Phys. Lett. A 362, 280-282 (2007).
    [CrossRef]
  22. Y. V. Kartashov, A. A. Egorov, V. A. Vysloukh, and L. Torner, "Surface vortex solitons," Opt. Express 14, 4049-57 (2006).
    [CrossRef] [PubMed]
  23. K. Motzek, A. A. Sukhorukov and Y. S. Kivshar, "Polychromatic interface solitons in nonlinear photonic lattices," Opt. Lett. 31, 3125-27 (2006).
    [CrossRef] [PubMed]
  24. S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, Ch. E. Rüter, D. Kip, R. Morandotti, M. Volatier, V. Aimez, R. Arès, H.  Yang, and G. Salamo, "Discrete Spatial Surface Solitons at the Interface Between Dissimilar Arrays," Digest of the 2007 OSA Topical Meeting on Nonlinear Optics Materials, Fundamentals and Applications 2007, paper TuC2.
  25. S. Suntsov, "Discrete Surface Solitons," PhD Thesis, Un. Central Florida Library, 2008.
  26. A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, V. A. Vysloukh, T. Pertsch, S. Nolte, A. Tünnermann F. Lederer, and L. Torner, "Observation of two-dimensional lattice interface solitons," Opt. Lett. 33, 663-665 (2008).
    [CrossRef] [PubMed]
  27. G. I. Stegeman, A. Villeneuve, J. Kang, J. S. Aitchison, C. N. Ironside, K. Al-Hemyari, C. C. Yang, C.-H. Lin, H.-H. Lin, G. T. Kennedy, R. S. Grant, and W. Sibbett, "AlGaAs below half the bandgap: the silicon of nonlinear optical materials," Int. J. Nonlinear Opt. Phys. 3, 347-371 (1994).
    [CrossRef]
  28. N. G. Vakhitov, A. A. Kolokolov, Izv. Vuz. Radiofiz. 16, 1020 (1973) [English Translation: Radiophys. and Quant. Electron. 16, 783 (1975)]. See also a review: L. Bergé, Phys. Rep. 303, 259-370 (1998).

2008

2007

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, "Optical modes at the interface between two dissimilar discrete meta-materials," Opt. Express 15, 4663-70 (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]

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]

M. I. Molina and Y. S. Kivshar, "Interface localized modes and hybrid lattice solitons in waveguide arrays," Phys. Lett. A 362, 280-282 (2007).
[CrossRef]

Q2Reviewed in S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, "Observation of One- And Two-Dimensional Discrete Surface Spatial Solitons," J. Nonlin. Opt. Phys. & Mats. 16, 401-426 (2007);F. Lederer, G. I Stegeman, D. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Physics Reports, in press, (2008).
[CrossRef]

2006

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]

Y. V. Kartashov, A. A. Egorov, V. A. Vysloukh, and L. Torner, "Surface vortex solitons," Opt. Express 14, 4049-57 (2006).
[CrossRef] [PubMed]

G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, Y.-H. Min, and W. Sohler, "Observation of discrete quadratic surface solitons," Opt. Express 14, 5508-16 (2006).
[CrossRef] [PubMed]

Y. V. Kartashov and L. Torner, "Multipole-mode surface solitons," Opt. Lett. 31, 2172-74 (2006).
[CrossRef] [PubMed]

E. Smirnov, M. Stepi�?, C. E. Rüter, D. Kip, and V. Shandarov, "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, 2774-76 (2006).
[CrossRef] [PubMed]

K. Motzek, A. A. Sukhorukov and Y. S. Kivshar, "Polychromatic interface solitons in nonlinear photonic lattices," Opt. Lett. 31, 3125-27 (2006).
[CrossRef] [PubMed]

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Y. S. Kivshar, "Polychromatic nonlinear surface modes generated by supercontinuum light," Opt. Express 14, 11265-70 (2006).
[CrossRef] [PubMed]

2005

2003

P. St. J. Russell, "Photonic Crystal Fibers," Science 299, 358-362 (2003).
[CrossRef] [PubMed]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behavior in linear and nonlinear waveguide lattices," Nature 424, 817-823 (2003).
[CrossRef] [PubMed]

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

1998

N. G. Vakhitov, A. A. Kolokolov, Izv. Vuz. Radiofiz. 16, 1020 (1973) [English Translation: Radiophys. and Quant. Electron. 16, 783 (1975)]. See also a review: L. Bergé, Phys. Rep. 303, 259-370 (1998).

1997

J. D. Joannopoulos, P. R. Villeneuve, and S. H. Fan, "Photonic crystals: putting a new twist on light," Nature 386, 143-149 (1997).
[CrossRef]

1994

G. I. Stegeman, A. Villeneuve, J. Kang, J. S. Aitchison, C. N. Ironside, K. Al-Hemyari, C. C. Yang, C.-H. Lin, H.-H. Lin, G. T. Kennedy, R. S. Grant, and W. Sibbett, "AlGaAs below half the bandgap: the silicon of nonlinear optical materials," Int. J. Nonlinear Opt. Phys. 3, 347-371 (1994).
[CrossRef]

1993

F. Lederer, L. Leine, R. Muschall, T. Peschel, C. Schmidt-Hattenberger, T. Trutschel, A. D. Boardman, and C. Wächter, "Strongly nonlinear effects with weak nonlinearities in smart waveguides," Opt. Commun. 99, 95-100 (1993).
[CrossRef]

Aimez, V.

Aitchison, J. S.

G. I. Stegeman, A. Villeneuve, J. Kang, J. S. Aitchison, C. N. Ironside, K. Al-Hemyari, C. C. Yang, C.-H. Lin, H.-H. Lin, G. T. Kennedy, R. S. Grant, and W. Sibbett, "AlGaAs below half the bandgap: the silicon of nonlinear optical materials," Int. J. Nonlinear Opt. Phys. 3, 347-371 (1994).
[CrossRef]

Al-Hemyari, K.

G. I. Stegeman, A. Villeneuve, J. Kang, J. S. Aitchison, C. N. Ironside, K. Al-Hemyari, C. C. Yang, C.-H. Lin, H.-H. Lin, G. T. Kennedy, R. S. Grant, and W. Sibbett, "AlGaAs below half the bandgap: the silicon of nonlinear optical materials," Int. J. Nonlinear Opt. Phys. 3, 347-371 (1994).
[CrossRef]

Arès, R.

Assanto, G.

Q2Reviewed in S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, "Observation of One- And Two-Dimensional Discrete Surface Spatial Solitons," J. Nonlin. Opt. Phys. & Mats. 16, 401-426 (2007);F. Lederer, G. I Stegeman, D. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Physics Reports, in press, (2008).
[CrossRef]

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]

Boardman, A. D.

F. Lederer, L. Leine, R. Muschall, T. Peschel, C. Schmidt-Hattenberger, T. Trutschel, A. D. Boardman, and C. Wächter, "Strongly nonlinear effects with weak nonlinearities in smart waveguides," Opt. Commun. 99, 95-100 (1993).
[CrossRef]

Bolger, J.

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

Christodoulides, D.

Q2Reviewed in S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, "Observation of One- And Two-Dimensional Discrete Surface Spatial Solitons," J. Nonlin. Opt. Phys. & Mats. 16, 401-426 (2007);F. Lederer, G. I Stegeman, D. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Physics Reports, in press, (2008).
[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]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, "Optical modes at the interface between two dissimilar discrete meta-materials," Opt. Express 15, 4663-70 (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]

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, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, "Surface lattice solitons," Opt. Lett. 31, 2774-76 (2006).
[CrossRef] [PubMed]

G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, Y.-H. Min, and W. Sohler, "Observation of discrete quadratic surface solitons," Opt. Express 14, 5508-16 (2006).
[CrossRef] [PubMed]

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, "Discrete surface solitons," Opt. Lett. 30, 2466-68 (2005).
[CrossRef] [PubMed]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behavior in linear and nonlinear waveguide lattices," Nature 424, 817-823 (2003).
[CrossRef] [PubMed]

Dereux, A.

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

Dreischuh, A.

Dreisow, F.

A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, V. A. Vysloukh, T. Pertsch, S. Nolte, A. Tünnermann F. Lederer, and L. Torner, "Observation of two-dimensional lattice interface solitons," Opt. Lett. 33, 663-665 (2008).
[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]

Ebbesen, T. W.

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

Eggleton, B. J.

Egorov, A. A.

Fan, S. H.

J. D. Joannopoulos, P. R. Villeneuve, and S. H. Fan, "Photonic crystals: putting a new twist on light," Nature 386, 143-149 (1997).
[CrossRef]

Fischer, R.

Grant, R. S.

G. I. Stegeman, A. Villeneuve, J. Kang, J. S. Aitchison, C. N. Ironside, K. Al-Hemyari, C. C. Yang, C.-H. Lin, H.-H. Lin, G. T. Kennedy, R. S. Grant, and W. Sibbett, "AlGaAs below half the bandgap: the silicon of nonlinear optical materials," Int. J. Nonlinear Opt. Phys. 3, 347-371 (1994).
[CrossRef]

Ha, S.

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]

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, "Discrete surface solitons," Opt. Lett. 30, 2466-68 (2005).
[CrossRef] [PubMed]

Heinrich, M.

Hudock, J.

Ironside, C. N.

G. I. Stegeman, A. Villeneuve, J. Kang, J. S. Aitchison, C. N. Ironside, K. Al-Hemyari, C. C. Yang, C.-H. Lin, H.-H. Lin, G. T. Kennedy, R. S. Grant, and W. Sibbett, "AlGaAs below half the bandgap: the silicon of nonlinear optical materials," Int. J. Nonlinear Opt. Phys. 3, 347-371 (1994).
[CrossRef]

Iwanow, R.

Joannopoulos, J. D.

J. D. Joannopoulos, P. R. Villeneuve, and S. H. Fan, "Photonic crystals: putting a new twist on light," Nature 386, 143-149 (1997).
[CrossRef]

Kang, J.

G. I. Stegeman, A. Villeneuve, J. Kang, J. S. Aitchison, C. N. Ironside, K. Al-Hemyari, C. C. Yang, C.-H. Lin, H.-H. Lin, G. T. Kennedy, R. S. Grant, and W. Sibbett, "AlGaAs below half the bandgap: the silicon of nonlinear optical materials," Int. J. Nonlinear Opt. Phys. 3, 347-371 (1994).
[CrossRef]

Kartashov, Y. V.

Kennedy, G. T.

G. I. Stegeman, A. Villeneuve, J. Kang, J. S. Aitchison, C. N. Ironside, K. Al-Hemyari, C. C. Yang, C.-H. Lin, H.-H. Lin, G. T. Kennedy, R. S. Grant, and W. Sibbett, "AlGaAs below half the bandgap: the silicon of nonlinear optical materials," Int. J. Nonlinear Opt. Phys. 3, 347-371 (1994).
[CrossRef]

Kip, D.

Kivshar, Y. S.

M. I. Molina and Y. S. Kivshar, "Interface localized modes and hybrid lattice solitons in waveguide arrays," Phys. Lett. A 362, 280-282 (2007).
[CrossRef]

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]

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Y. S. Kivshar, "Polychromatic nonlinear surface modes generated by supercontinuum light," Opt. Express 14, 11265-70 (2006).
[CrossRef] [PubMed]

K. Motzek, A. A. Sukhorukov and Y. S. Kivshar, "Polychromatic interface solitons in nonlinear photonic lattices," Opt. Lett. 31, 3125-27 (2006).
[CrossRef] [PubMed]

Kolokolov, A. A.

N. G. Vakhitov, A. A. Kolokolov, Izv. Vuz. Radiofiz. 16, 1020 (1973) [English Translation: Radiophys. and Quant. Electron. 16, 783 (1975)]. See also a review: L. Bergé, Phys. Rep. 303, 259-370 (1998).

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]

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Y. S. Kivshar, "Polychromatic nonlinear surface modes generated by supercontinuum light," Opt. Express 14, 11265-70 (2006).
[CrossRef] [PubMed]

Lederer, F.

Q2Reviewed in S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, "Observation of One- And Two-Dimensional Discrete Surface Spatial Solitons," J. Nonlin. Opt. Phys. & Mats. 16, 401-426 (2007);F. Lederer, G. I Stegeman, D. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Physics Reports, in press, (2008).
[CrossRef]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behavior in linear and nonlinear waveguide lattices," Nature 424, 817-823 (2003).
[CrossRef] [PubMed]

F. Lederer, L. Leine, R. Muschall, T. Peschel, C. Schmidt-Hattenberger, T. Trutschel, A. D. Boardman, and C. Wächter, "Strongly nonlinear effects with weak nonlinearities in smart waveguides," Opt. Commun. 99, 95-100 (1993).
[CrossRef]

Leine, L.

F. Lederer, L. Leine, R. Muschall, T. Peschel, C. Schmidt-Hattenberger, T. Trutschel, A. D. Boardman, and C. Wächter, "Strongly nonlinear effects with weak nonlinearities in smart waveguides," Opt. Commun. 99, 95-100 (1993).
[CrossRef]

Lin, C.-H.

G. I. Stegeman, A. Villeneuve, J. Kang, J. S. Aitchison, C. N. Ironside, K. Al-Hemyari, C. C. Yang, C.-H. Lin, H.-H. Lin, G. T. Kennedy, R. S. Grant, and W. Sibbett, "AlGaAs below half the bandgap: the silicon of nonlinear optical materials," Int. J. Nonlinear Opt. Phys. 3, 347-371 (1994).
[CrossRef]

Lin, H.-H.

G. I. Stegeman, A. Villeneuve, J. Kang, J. S. Aitchison, C. N. Ironside, K. Al-Hemyari, C. C. Yang, C.-H. Lin, H.-H. Lin, G. T. Kennedy, R. S. Grant, and W. Sibbett, "AlGaAs below half the bandgap: the silicon of nonlinear optical materials," Int. J. Nonlinear Opt. Phys. 3, 347-371 (1994).
[CrossRef]

Makris, K. 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]

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]

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, "Optical modes at the interface between two dissimilar discrete meta-materials," Opt. Express 15, 4663-70 (2007).
[CrossRef] [PubMed]

G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, Y.-H. Min, and W. Sohler, "Observation of discrete quadratic surface solitons," Opt. Express 14, 5508-16 (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, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, "Surface lattice solitons," Opt. Lett. 31, 2774-76 (2006).
[CrossRef] [PubMed]

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, "Discrete surface solitons," Opt. Lett. 30, 2466-68 (2005).
[CrossRef] [PubMed]

Manela, O.

Min, Y.-H.

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]

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Y. S. Kivshar, "Polychromatic nonlinear surface modes generated by supercontinuum light," Opt. Express 14, 11265-70 (2006).
[CrossRef] [PubMed]

Molina, M. I.

M. I. Molina and Y. S. Kivshar, "Interface localized modes and hybrid lattice solitons in waveguide arrays," Phys. Lett. A 362, 280-282 (2007).
[CrossRef]

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.

Motzek, K.

Muschall, R.

F. Lederer, L. Leine, R. Muschall, T. Peschel, C. Schmidt-Hattenberger, T. Trutschel, A. D. Boardman, and C. Wächter, "Strongly nonlinear effects with weak nonlinearities in smart waveguides," Opt. Commun. 99, 95-100 (1993).
[CrossRef]

Neshev, D. N.

A. A. Sukhorukov, D. N. Neshev, A. Dreischuh, R. Fischer, S. Ha, W. Krolikowski, J. Bolger, A. Mitchell, B. J. Eggleton, and Y. S. Kivshar, "Polychromatic nonlinear surface modes generated by supercontinuum light," Opt. Express 14, 11265-70 (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]

Nolte, S.

A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, V. A. Vysloukh, T. Pertsch, S. Nolte, A. Tünnermann F. Lederer, and L. Torner, "Observation of two-dimensional lattice interface solitons," Opt. Lett. 33, 663-665 (2008).
[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]

Pertsch, T.

A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, V. A. Vysloukh, T. Pertsch, S. Nolte, A. Tünnermann F. Lederer, and L. Torner, "Observation of two-dimensional lattice interface solitons," Opt. Lett. 33, 663-665 (2008).
[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]

Peschel, T.

F. Lederer, L. Leine, R. Muschall, T. Peschel, C. Schmidt-Hattenberger, T. Trutschel, A. D. Boardman, and C. Wächter, "Strongly nonlinear effects with weak nonlinearities in smart waveguides," Opt. Commun. 99, 95-100 (1993).
[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]

Russell, P. St. J.

P. St. J. Russell, "Photonic Crystal Fibers," Science 299, 358-362 (2003).
[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]

Schiek, R.

Schmidt-Hattenberger, C.

F. Lederer, L. Leine, R. Muschall, T. Peschel, C. Schmidt-Hattenberger, T. Trutschel, A. D. Boardman, and C. Wächter, "Strongly nonlinear effects with weak nonlinearities in smart waveguides," Opt. Commun. 99, 95-100 (1993).
[CrossRef]

Segev, M.

Q2Reviewed in S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, "Observation of One- And Two-Dimensional Discrete Surface Spatial Solitons," J. Nonlin. Opt. Phys. & Mats. 16, 401-426 (2007);F. Lederer, G. I Stegeman, D. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Physics Reports, in press, (2008).
[CrossRef]

K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, "Surface lattice solitons," Opt. Lett. 31, 2774-76 (2006).
[CrossRef] [PubMed]

Shandarov, V.

Sibbett, W.

G. I. Stegeman, A. Villeneuve, J. Kang, J. S. Aitchison, C. N. Ironside, K. Al-Hemyari, C. C. Yang, C.-H. Lin, H.-H. Lin, G. T. Kennedy, R. S. Grant, and W. Sibbett, "AlGaAs below half the bandgap: the silicon of nonlinear optical materials," Int. J. Nonlinear Opt. Phys. 3, 347-371 (1994).
[CrossRef]

Silberberg, Y.

Q2Reviewed in S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, "Observation of One- And Two-Dimensional Discrete Surface Spatial Solitons," J. Nonlin. Opt. Phys. & Mats. 16, 401-426 (2007);F. Lederer, G. I Stegeman, D. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Physics Reports, in press, (2008).
[CrossRef]

D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behavior in linear and nonlinear waveguide lattices," Nature 424, 817-823 (2003).
[CrossRef] [PubMed]

Siviloglou, G. A.

Smirnov, E.

Sohler, W.

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

Q2Reviewed in S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, "Observation of One- And Two-Dimensional Discrete Surface Spatial Solitons," J. Nonlin. Opt. Phys. & Mats. 16, 401-426 (2007);F. Lederer, G. I Stegeman, D. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Physics Reports, in press, (2008).
[CrossRef]

Stegeman, G. I.

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, M. Volatier, V. Aimez, R. Arès, C. E. Rüter, and D. Kip, "Optical modes at the interface between two dissimilar discrete meta-materials," Opt. Express 15, 4663-70 (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]

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]

K. G. Makris, J. Hudock, D. N. Christodoulides, G. I. Stegeman, O. Manela, and M. Segev, "Surface lattice solitons," Opt. Lett. 31, 2774-76 (2006).
[CrossRef] [PubMed]

G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, Y.-H. Min, and W. Sohler, "Observation of discrete quadratic surface solitons," Opt. Express 14, 5508-16 (2006).
[CrossRef] [PubMed]

K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, "Discrete surface solitons," Opt. Lett. 30, 2466-68 (2005).
[CrossRef] [PubMed]

G. I. Stegeman, A. Villeneuve, J. Kang, J. S. Aitchison, C. N. Ironside, K. Al-Hemyari, C. C. Yang, C.-H. Lin, H.-H. Lin, G. T. Kennedy, R. S. Grant, and W. Sibbett, "AlGaAs below half the bandgap: the silicon of nonlinear optical materials," Int. J. Nonlinear Opt. Phys. 3, 347-371 (1994).
[CrossRef]

Stepi??, M.

Sukhorukov, A. A.

Suntsov, S.

Szameit, A.

A. Szameit, Y. V. Kartashov, F. Dreisow, M. Heinrich, V. A. Vysloukh, T. Pertsch, S. Nolte, A. Tünnermann F. Lederer, and L. Torner, "Observation of two-dimensional lattice interface solitons," Opt. Lett. 33, 663-665 (2008).
[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]

Torner, L.

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]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, "Surface Gap Solitons," Phys. Rev. Lett. 96, 073901 (2006).
[CrossRef] [PubMed]

Y. V. Kartashov, A. A. Egorov, V. A. Vysloukh, and L. Torner, "Surface vortex solitons," Opt. Express 14, 4049-57 (2006).
[CrossRef] [PubMed]

Y. V. Kartashov and L. Torner, "Multipole-mode surface solitons," Opt. Lett. 31, 2172-74 (2006).
[CrossRef] [PubMed]

Trutschel, T.

F. Lederer, L. Leine, R. Muschall, T. Peschel, C. Schmidt-Hattenberger, T. Trutschel, A. D. Boardman, and C. Wächter, "Strongly nonlinear effects with weak nonlinearities in smart waveguides," Opt. Commun. 99, 95-100 (1993).
[CrossRef]

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]

Vakhitov, N. G.

N. G. Vakhitov, A. A. Kolokolov, Izv. Vuz. Radiofiz. 16, 1020 (1973) [English Translation: Radiophys. and Quant. Electron. 16, 783 (1975)]. See also a review: L. Bergé, Phys. Rep. 303, 259-370 (1998).

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]

Villeneuve, A.

G. I. Stegeman, A. Villeneuve, J. Kang, J. S. Aitchison, C. N. Ironside, K. Al-Hemyari, C. C. Yang, C.-H. Lin, H.-H. Lin, G. T. Kennedy, R. S. Grant, and W. Sibbett, "AlGaAs below half the bandgap: the silicon of nonlinear optical materials," Int. J. Nonlinear Opt. Phys. 3, 347-371 (1994).
[CrossRef]

Villeneuve, P. R.

J. D. Joannopoulos, P. R. Villeneuve, and S. H. Fan, "Photonic crystals: putting a new twist on light," Nature 386, 143-149 (1997).
[CrossRef]

Volatier, M.

Vysloukh, V. A.

Wächter, C.

F. Lederer, L. Leine, R. Muschall, T. Peschel, C. Schmidt-Hattenberger, T. Trutschel, A. D. Boardman, and C. Wächter, "Strongly nonlinear effects with weak nonlinearities in smart waveguides," Opt. Commun. 99, 95-100 (1993).
[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]

Yang, C. C.

G. I. Stegeman, A. Villeneuve, J. Kang, J. S. Aitchison, C. N. Ironside, K. Al-Hemyari, C. C. Yang, C.-H. Lin, H.-H. Lin, G. T. Kennedy, R. S. Grant, and W. Sibbett, "AlGaAs below half the bandgap: the silicon of nonlinear optical materials," Int. J. Nonlinear Opt. Phys. 3, 347-371 (1994).
[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]

Int. J. Nonlinear Opt. Phys.

G. I. Stegeman, A. Villeneuve, J. Kang, J. S. Aitchison, C. N. Ironside, K. Al-Hemyari, C. C. Yang, C.-H. Lin, H.-H. Lin, G. T. Kennedy, R. S. Grant, and W. Sibbett, "AlGaAs below half the bandgap: the silicon of nonlinear optical materials," Int. J. Nonlinear Opt. Phys. 3, 347-371 (1994).
[CrossRef]

J. Nonlin. Opt. Phys. & Mats.

Q2Reviewed in S. Suntsov, K. G. Makris, G. A. Siviloglou, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, R. Morandotti, H. Yang, G. Salamo, M. Volatier, V. Aimez, R. Arès, M. Sorel, Y. Min, W. Sohler, X. Wang, A. Bezryadina, and Z. Chen, "Observation of One- And Two-Dimensional Discrete Surface Spatial Solitons," J. Nonlin. Opt. Phys. & Mats. 16, 401-426 (2007);F. Lederer, G. I Stegeman, D. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, Physics Reports, in press, (2008).
[CrossRef]

Nature

D. N. Christodoulides, F. Lederer, and Y. Silberberg, "Discretizing light behavior in linear and nonlinear waveguide lattices," Nature 424, 817-823 (2003).
[CrossRef] [PubMed]

J. D. Joannopoulos, P. R. Villeneuve, and S. H. Fan, "Photonic crystals: putting a new twist on light," Nature 386, 143-149 (1997).
[CrossRef]

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

Opt. Commun.

F. Lederer, L. Leine, R. Muschall, T. Peschel, C. Schmidt-Hattenberger, T. Trutschel, A. D. Boardman, and C. Wächter, "Strongly nonlinear effects with weak nonlinearities in smart waveguides," Opt. Commun. 99, 95-100 (1993).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Lett. A

M. I. Molina and Y. S. Kivshar, "Interface localized modes and hybrid lattice solitons in waveguide arrays," Phys. Lett. A 362, 280-282 (2007).
[CrossRef]

Phys. Rep.

N. G. Vakhitov, A. A. Kolokolov, Izv. Vuz. Radiofiz. 16, 1020 (1973) [English Translation: Radiophys. and Quant. Electron. 16, 783 (1975)]. See also a review: L. Bergé, Phys. Rep. 303, 259-370 (1998).

Phys. Rev. Lett.

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]

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]

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]

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]

Science

P. St. J. Russell, "Photonic Crystal Fibers," Science 299, 358-362 (2003).
[CrossRef] [PubMed]

Other

S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, Ch. E. Rüter, D. Kip, R. Morandotti, M. Volatier, V. Aimez, R. Arès, H.  Yang, and G. Salamo, "Discrete Spatial Surface Solitons at the Interface Between Dissimilar Arrays," Digest of the 2007 OSA Topical Meeting on Nonlinear Optics Materials, Fundamentals and Applications 2007, paper TuC2.

S. Suntsov, "Discrete Surface Solitons," PhD Thesis, Un. Central Florida Library, 2008.

A. D. Boardman, P. Egan, F. Lederer, U. Langbein, and D. Mihalache, Nonlinear Surface Electromagnetic Phenomena, H. E. Ponath and G. I. Stegeman, ed. (North-Holland, Amsterdam, 1991), Vol. 29, p.73.

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 (13)

Fig. 1.
Fig. 1.

(a) AlGaAs hetero-interface waveguide array composition and details of the dimensions of the two arrays. (b) Notation system for channels, the refractive index potential V(x) and the separation d between the two dissimilar arrays. (c) SEM image of the input facet of the hetero-structure.

Fig. 2.
Fig. 2.

Discrete diffraction patterns measured at the sample output for excitation of the: (a) left side- and (b) right side boundary channels for d=3.4µm, and (c) left side- and (d) right side boundary channels for d=5.2µm.

Fig. 3.
Fig. 3.

The dispersion in kz versus kx for the Floquet-Bloch bands associated with the right (red) and left (blue) side arrays. The red dot identifies (not to scale) the quasi-linear mode peaked in the right array and the rising red and blue arrows (not to scale) identify the interface solitons whose propagation wavevector increases with increasing power.

Fig. 4.
Fig. 4.

The calculated threshold power for interface solitons peaked in the left side (a) and right side (b) arrays versus array separation.

Fig. 5.
Fig. 5.

The field structure for the interface solitons peaked in the left side (a) and right side (b) boundary channels of the arrays.

Fig. 6.
Fig. 6.

The dependence of the cw soliton power Psol on the normalized eigenvector ksol z for the solitons peaked in the left (n=-1) and right (n=+1) boundary channels for d=3.4µm [(a) and (b) respectively] and d=5.2µm [(c) and (d) respectively]. The field distributions at threshold are shown as insets.

Fig. 7.
Fig. 7.

The Psol -ksol z curves (a) and field distributions at threshold (b)–(d) for interface solitons peaked in the n=1, 2 and 3 channels of the right side array for d=3.4µm. In each case there is a well-defined minimum threshold power.

Fig. 8.
Fig. 8.

The evolution of the output intensity pattern from the arrays with increasing input power for d=3.4µm with the excitation of the n=-1 (a) and n=-3 (b) channels. (c) shows a cw simulation of the propagation in the arrays for excitation of the n=-1 channel for input power 1100W.

Fig. 9.
Fig. 9.

The measured threshold power for surface solitons at the boundary of the two different arrays for gaps d=3.4µm and d=5.2µm between them, or bounded by a continuous medium. The waveguide numbers indicate the single channel location of both the initially excited channel and the resulting single channel soliton.

Fig. 10.
Fig. 10.

(a) The measured evolution with increasing input power of the intensity pattern obtained at the output of the arrays for d=5.2µm and n=-1 excitation. (b) The intensity distribution observed at the output facet for the interface soliton just above its threshold power. (c) the measured evolution with increasing input power of the intensity pattern obtained at the output of the arrays for d=5.2µm and n=-3 excitation.

Fig. 11.
Fig. 11.

(a)–(d) The measured evolution with increasing input power of the intensity patterns obtained at the output of the arrays for d=3.4µm and the excitation of the n=1, 2, 3 and 4 channels, respectively.

Fig. 12.
Fig. 12.

Calculated evolution with propagation distance of light intensity in the composite array for d=3.4µm with the excitation of: (a) n=2 and (b), (c) n=3 channels.

Fig. 13.
Fig. 13.

(a) The measured evolution with increasing input power of the intensity patterns at the sample output for the separation d=5.2µm and the excitation of the n=1, 2 and 3 channels.

Equations (1)

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

i u z + 2 u x 2 + V ( x ) u + γ u 2 u = 0 ,

Metrics