Abstract

We address the properties of soliton propagation at the interface between media with uniform and chirped modulated nonlinearities. By changing the chirp parameter and modulation depth p of the nonlinearity, we can control the soliton propagation, including straight transmission, drift left, and drift right. In particular, the formation of a surface soliton does not need a power threshold. Thus, our results offer a new (to our knowledge) method to control the soliton propagation, which potentially applies to optical signal processing and optical switching.

© 2011 Optical Society of America

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  1. M. I. Molina, Y. V. Kartashov, L. Torner, and Y. S. Kivshar, “Surface solitons in chirped photonic lattices,” Opt. Lett. 32, 2668–2670 (2007).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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  6. D. Mihalache, G. I. Stegeman, C. T. Seaton, E. M. Wright, R. Zanoni, A. D. Boardman, and T. Twardowski, “Exact dispersion relations for transverse magnetic polarized guided waves at a nonlinear interface,” Opt. Lett. 12, 187–189 (1987).
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  10. F. Ye, D. Mihalache, B. Hu, and N. C. Panoiu, “Subwavelength plasmonic lattice solitons in arrays of metallic nanowires,” Phys. Rev. Lett. 104, 106802 (2010).
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  13. D. Mihalache, D. M. Baboiu, M. Ciumac, L. Torner, and J. P. Torres, “Hybrid surface plasmon polaritons guided by ultrathin metal films,” Opt. Quantum Electron. 26, 857–863 (1994).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  24. D. Mihalache, D. Mazilu, F. Lederer, and Y. S. Kivshar, “Stable discrete surface light bullets,” Opt. Express 15, 589–595(2007).
    [CrossRef]
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    [CrossRef]
  27. Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Stabilization of multibeam necklace solitons in circular arrays with spatially modulated nonlinearity,” Phys. Rev. A 80, 053816 (2009).
    [CrossRef]
  28. Y. He, D. Mihalache, and B. Hu, “Soliton drift, rebound, penetration, and trapping at the interface between media with uniform and spatially modulated nonlinearities,” Opt. Lett. 35, 1716–1718 (2010).
    [CrossRef]
  29. H. Sakaguchi and B. A. Malomed, “Two-dimensional solitons in the Gross–Pitaevskii equation with spatially modulated nonlinearity,” Phys. Rev. E 73, 026601 (2006).
    [CrossRef]
  30. Y. Sivan, G. Fibich, and M. I. Weinstein, “Waves in nonlinear lattices: ultrashort optical pulses and Bose–Einstein condensates,” Phys. Rev. Lett. 97, 193902 (2006).
    [CrossRef]
  31. F. Ye, Y. V. Kartashov, B. Hu, and L. Torner, “Light bullets in Bessel optical lattices with spatially modulated nonlinearity,” Opt. Express 17, 11328–11334 (2009).
    [CrossRef]
  32. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Dynamics of surface solitons at the edge of chirped optical lattices,” Phys. Rev. A 76, 013831 (2007).
    [CrossRef]
  33. J. Xie, Y. He, and H. Wang, “Surface defect gap solitons in one-dimensional chirped optical lattices,” J. Opt. Soc. Am. B 27, 484–487 (2010).
    [CrossRef]

2010 (3)

2009 (6)

F. Ye, Y. V. Kartashov, B. Hu, and L. Torner, “Light bullets in Bessel optical lattices with spatially modulated nonlinearity,” Opt. Express 17, 11328–11334 (2009).
[CrossRef]

J. Gao, A. Lakhtakia, and M. K. Lei, “On Dyakonov–Tamm waves localized to a central twist defect in a structurally chiral material,” J. Opt. Soc. Am. B 26, B74–B82 (2009).
[CrossRef]

A. R. Davoyan, I. V. Shadrivov, and Y. S. Kivshar, “Self-focusing and spatial plasmon-polariton solitons,” Opt. Express 17, 21732–21737 (2009).
[CrossRef]

O. Takayama, L. Crasovan, D. Artigas, and L. Torner, “Observation of Dyakonov surface waves,” Phys. Rev. Lett. 102, 043903(2009).
[CrossRef]

D. Mihalache and D. Mazilu, “Discrete surface light bullets,” Rom. Rep. Phys. 61, 235–258 (2009).

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Stabilization of multibeam necklace solitons in circular arrays with spatially modulated nonlinearity,” Phys. Rev. A 80, 053816 (2009).
[CrossRef]

2008 (2)

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1–126 (2008).
[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton modes, stability, and drift in optical lattices with spatially modulated nonlinearity,” Opt. Lett. 33, 1747–1749(2008).
[CrossRef]

2007 (7)

2006 (7)

H. Sakaguchi and B. A. Malomed, “Two-dimensional solitons in the Gross–Pitaevskii equation with spatially modulated nonlinearity,” Phys. Rev. E 73, 026601 (2006).
[CrossRef]

Y. Sivan, G. Fibich, and M. I. Weinstein, “Waves in nonlinear lattices: ultrashort optical pulses and Bose–Einstein condensates,” Phys. Rev. Lett. 97, 193902 (2006).
[CrossRef]

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Two-dimensional lattice interface solitons,” Phys. Rev. Lett. 97, 083901 (2006).
[CrossRef]

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

M. I. Molina, I. L. Garanovich, A. A. Sukhorukov, and Y. S. Kivshar, “Discrete surface solitons in semi-infinite binary waveguide arrays,” Opt. Lett. 31, 2332–2334 (2006).
[CrossRef]

E. Smirnov, M. Stepić, 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]

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]

2005 (1)

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

2003 (1)

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

1994 (1)

D. Mihalache, D. M. Baboiu, M. Ciumac, L. Torner, and J. P. Torres, “Hybrid surface plasmon polaritons guided by ultrathin metal films,” Opt. Quantum Electron. 26, 857–863 (1994).
[CrossRef]

1993 (1)

L. Torner, J. P. Torres, and D. Mihalache, “New type of guided waves in birefringent media,” IEEE Photon. Technol. Lett. 5, 201–203 (1993).
[CrossRef]

1989 (1)

D. Mihalache, M. Bertolotti, and C. Sibilia, “Nonlinear wave propagation in planar structures,” Prog. Opt. 27, 227–313 (1989).
[CrossRef]

1987 (1)

1986 (1)

F. Lederer and D. Mihalache, “An additional kind of nonlinear s-polarized surface plasmon polaritons,” Solid State Commun. 59, 151–153 (1986).
[CrossRef]

Artigas, D.

O. Takayama, L. Crasovan, D. Artigas, and L. Torner, “Observation of Dyakonov surface waves,” Phys. Rev. Lett. 102, 043903(2009).
[CrossRef]

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

Assanto, G.

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1–126 (2008).
[CrossRef]

Baboiu, D. M.

D. Mihalache, D. M. Baboiu, M. Ciumac, L. Torner, and J. P. Torres, “Hybrid surface plasmon polaritons guided by ultrathin metal films,” Opt. Quantum Electron. 26, 857–863 (1994).
[CrossRef]

Barnes, W. L.

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

Bertolotti, M.

D. Mihalache, M. Bertolotti, and C. Sibilia, “Nonlinear wave propagation in planar structures,” Prog. Opt. 27, 227–313 (1989).
[CrossRef]

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]

Boardman, A. D.

Chen, W. H.

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]

Christodoulides, D. N.

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1–126 (2008).
[CrossRef]

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

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]

Ciumac, M.

D. Mihalache, D. M. Baboiu, M. Ciumac, L. Torner, and J. P. Torres, “Hybrid surface plasmon polaritons guided by ultrathin metal films,” Opt. Quantum Electron. 26, 857–863 (1994).
[CrossRef]

Crasovan, L.

O. Takayama, L. Crasovan, D. Artigas, and L. Torner, “Observation of Dyakonov surface waves,” Phys. Rev. Lett. 102, 043903(2009).
[CrossRef]

Davoyan, A. R.

Dereux, A.

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

Ebbesen, T. W.

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

Feigenbaum, E.

Fibich, G.

Y. Sivan, G. Fibich, and M. I. Weinstein, “Waves in nonlinear lattices: ultrashort optical pulses and Bose–Einstein condensates,” Phys. Rev. Lett. 97, 193902 (2006).
[CrossRef]

Gao, J.

Garanovich, I. L.

He, Y.

He, Y. J.

He, Y.-J.

Y.-J. He and B. A. Malomed, “Surface waves and boundary effects in DNLS equations,” in The Discrete Nonlinear Schrödinger Equation: Mathematical Analysis, Numerical Computations and Physical Perspectives, P.G.Kevrekidis, ed. (Springer, 2009), pp. 259–276.

Hu, B.

Hudock, J.

Kartashov, Y. V.

F. Ye, Y. V. Kartashov, B. Hu, and L. Torner, “Light bullets in Bessel optical lattices with spatially modulated nonlinearity,” Opt. Express 17, 11328–11334 (2009).
[CrossRef]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Stabilization of multibeam necklace solitons in circular arrays with spatially modulated nonlinearity,” Phys. Rev. A 80, 053816 (2009).
[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton modes, stability, and drift in optical lattices with spatially modulated nonlinearity,” Opt. Lett. 33, 1747–1749(2008).
[CrossRef]

M. I. Molina, Y. V. Kartashov, L. Torner, and Y. S. Kivshar, “Surface solitons in chirped photonic lattices,” Opt. Lett. 32, 2668–2670 (2007).
[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Dynamics of surface solitons at the edge of chirped optical lattices,” Phys. Rev. A 76, 013831 (2007).
[CrossRef]

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

Kip, D.

Kivshar, Y. S.

Krolikowski, W.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Two-dimensional lattice interface solitons,” Phys. Rev. Lett. 97, 083901 (2006).
[CrossRef]

Lakhtakia, A.

Lederer, F.

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1–126 (2008).
[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, and Y. S. Kivshar, “Stable discrete surface light bullets,” Opt. Express 15, 589–595(2007).
[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, and Y. S. Kivshar, “Spatiotemporal surface solitons in two-dimensional photonic lattices,” Opt. Lett. 32, 3173–3175 (2007).
[CrossRef]

F. Lederer and D. Mihalache, “An additional kind of nonlinear s-polarized surface plasmon polaritons,” Solid State Commun. 59, 151–153 (1986).
[CrossRef]

Lei, M. K.

Makris, K. G.

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

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]

Malomed, B. A.

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Stabilization of multibeam necklace solitons in circular arrays with spatially modulated nonlinearity,” Phys. Rev. A 80, 053816 (2009).
[CrossRef]

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

H. Sakaguchi and B. A. Malomed, “Two-dimensional solitons in the Gross–Pitaevskii equation with spatially modulated nonlinearity,” Phys. Rev. E 73, 026601 (2006).
[CrossRef]

Y.-J. He and B. A. Malomed, “Surface waves and boundary effects in DNLS equations,” in The Discrete Nonlinear Schrödinger Equation: Mathematical Analysis, Numerical Computations and Physical Perspectives, P.G.Kevrekidis, ed. (Springer, 2009), pp. 259–276.

Manela, O.

Mazilu, D.

Mihalache, D.

F. Ye, D. Mihalache, B. Hu, and N. C. Panoiu, “Subwavelength plasmonic lattice solitons in arrays of metallic nanowires,” Phys. Rev. Lett. 104, 106802 (2010).
[CrossRef]

Y. He, D. Mihalache, and B. Hu, “Soliton drift, rebound, penetration, and trapping at the interface between media with uniform and spatially modulated nonlinearities,” Opt. Lett. 35, 1716–1718 (2010).
[CrossRef]

D. Mihalache and D. Mazilu, “Discrete surface light bullets,” Rom. Rep. Phys. 61, 235–258 (2009).

D. Mihalache, D. Mazilu, F. Lederer, and Y. S. Kivshar, “Spatiotemporal surface solitons in two-dimensional photonic lattices,” Opt. Lett. 32, 3173–3175 (2007).
[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, and Y. S. Kivshar, “Stable discrete surface light bullets,” Opt. Express 15, 589–595(2007).
[CrossRef]

D. Mihalache, D. M. Baboiu, M. Ciumac, L. Torner, and J. P. Torres, “Hybrid surface plasmon polaritons guided by ultrathin metal films,” Opt. Quantum Electron. 26, 857–863 (1994).
[CrossRef]

L. Torner, J. P. Torres, and D. Mihalache, “New type of guided waves in birefringent media,” IEEE Photon. Technol. Lett. 5, 201–203 (1993).
[CrossRef]

D. Mihalache, M. Bertolotti, and C. Sibilia, “Nonlinear wave propagation in planar structures,” Prog. Opt. 27, 227–313 (1989).
[CrossRef]

D. Mihalache, G. I. Stegeman, C. T. Seaton, E. M. Wright, R. Zanoni, A. D. Boardman, and T. Twardowski, “Exact dispersion relations for transverse magnetic polarized guided waves at a nonlinear interface,” Opt. Lett. 12, 187–189 (1987).
[CrossRef]

F. Lederer and D. Mihalache, “An additional kind of nonlinear s-polarized surface plasmon polaritons,” Solid State Commun. 59, 151–153 (1986).
[CrossRef]

Mitchell, A.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Two-dimensional lattice interface solitons,” Phys. Rev. Lett. 97, 083901 (2006).
[CrossRef]

Molina, M. I.

Neshev, D. N.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Two-dimensional lattice interface solitons,” Phys. Rev. Lett. 97, 083901 (2006).
[CrossRef]

Orenstein, M.

Panoiu, N. C.

F. Ye, D. Mihalache, B. Hu, and N. C. Panoiu, “Subwavelength plasmonic lattice solitons in arrays of metallic nanowires,” Phys. Rev. Lett. 104, 106802 (2010).
[CrossRef]

Rosberg, C. R.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Two-dimensional lattice interface solitons,” Phys. Rev. Lett. 97, 083901 (2006).
[CrossRef]

Rüter, C. E.

Sakaguchi, H.

H. Sakaguchi and B. A. Malomed, “Two-dimensional solitons in the Gross–Pitaevskii equation with spatially modulated nonlinearity,” Phys. Rev. E 73, 026601 (2006).
[CrossRef]

Seaton, C. T.

Segev, M.

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1–126 (2008).
[CrossRef]

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

Shadrivov, I. V.

Shandarov, V.

Sibilia, C.

D. Mihalache, M. Bertolotti, and C. Sibilia, “Nonlinear wave propagation in planar structures,” Prog. Opt. 27, 227–313 (1989).
[CrossRef]

Silberberg, Y.

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1–126 (2008).
[CrossRef]

Sivan, Y.

Y. Sivan, G. Fibich, and M. I. Weinstein, “Waves in nonlinear lattices: ultrashort optical pulses and Bose–Einstein condensates,” Phys. Rev. Lett. 97, 193902 (2006).
[CrossRef]

Smirnov, E.

Stegeman, G. I.

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1–126 (2008).
[CrossRef]

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

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]

D. Mihalache, G. I. Stegeman, C. T. Seaton, E. M. Wright, R. Zanoni, A. D. Boardman, and T. Twardowski, “Exact dispersion relations for transverse magnetic polarized guided waves at a nonlinear interface,” Opt. Lett. 12, 187–189 (1987).
[CrossRef]

Stepic, M.

Sukhorukov, A. A.

Takayama, O.

O. Takayama, L. Crasovan, D. Artigas, and L. Torner, “Observation of Dyakonov surface waves,” Phys. Rev. Lett. 102, 043903(2009).
[CrossRef]

Torner, L.

O. Takayama, L. Crasovan, D. Artigas, and L. Torner, “Observation of Dyakonov surface waves,” Phys. Rev. Lett. 102, 043903(2009).
[CrossRef]

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Stabilization of multibeam necklace solitons in circular arrays with spatially modulated nonlinearity,” Phys. Rev. A 80, 053816 (2009).
[CrossRef]

F. Ye, Y. V. Kartashov, B. Hu, and L. Torner, “Light bullets in Bessel optical lattices with spatially modulated nonlinearity,” Opt. Express 17, 11328–11334 (2009).
[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton modes, stability, and drift in optical lattices with spatially modulated nonlinearity,” Opt. Lett. 33, 1747–1749(2008).
[CrossRef]

M. I. Molina, Y. V. Kartashov, L. Torner, and Y. S. Kivshar, “Surface solitons in chirped photonic lattices,” Opt. Lett. 32, 2668–2670 (2007).
[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Dynamics of surface solitons at the edge of chirped optical lattices,” Phys. Rev. A 76, 013831 (2007).
[CrossRef]

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

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

D. Mihalache, D. M. Baboiu, M. Ciumac, L. Torner, and J. P. Torres, “Hybrid surface plasmon polaritons guided by ultrathin metal films,” Opt. Quantum Electron. 26, 857–863 (1994).
[CrossRef]

L. Torner, J. P. Torres, and D. Mihalache, “New type of guided waves in birefringent media,” IEEE Photon. Technol. Lett. 5, 201–203 (1993).
[CrossRef]

Torres, J. P.

D. Mihalache, D. M. Baboiu, M. Ciumac, L. Torner, and J. P. Torres, “Hybrid surface plasmon polaritons guided by ultrathin metal films,” Opt. Quantum Electron. 26, 857–863 (1994).
[CrossRef]

L. Torner, J. P. Torres, and D. Mihalache, “New type of guided waves in birefringent media,” IEEE Photon. Technol. Lett. 5, 201–203 (1993).
[CrossRef]

Twardowski, T.

Vicencio, R. A.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Two-dimensional lattice interface solitons,” Phys. Rev. Lett. 97, 083901 (2006).
[CrossRef]

Vysloukh, V. A.

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Stabilization of multibeam necklace solitons in circular arrays with spatially modulated nonlinearity,” Phys. Rev. A 80, 053816 (2009).
[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton modes, stability, and drift in optical lattices with spatially modulated nonlinearity,” Opt. Lett. 33, 1747–1749(2008).
[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Dynamics of surface solitons at the edge of chirped optical lattices,” Phys. Rev. A 76, 013831 (2007).
[CrossRef]

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

Wang, H.

Wang, H. Z.

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]

Weinstein, M. I.

Y. Sivan, G. Fibich, and M. I. Weinstein, “Waves in nonlinear lattices: ultrashort optical pulses and Bose–Einstein condensates,” Phys. Rev. Lett. 97, 193902 (2006).
[CrossRef]

Wright, E. M.

Xie, J.

Ye, F.

F. Ye, D. Mihalache, B. Hu, and N. C. Panoiu, “Subwavelength plasmonic lattice solitons in arrays of metallic nanowires,” Phys. Rev. Lett. 104, 106802 (2010).
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F. Ye, Y. V. Kartashov, B. Hu, and L. Torner, “Light bullets in Bessel optical lattices with spatially modulated nonlinearity,” Opt. Express 17, 11328–11334 (2009).
[CrossRef]

Zanoni, R.

IEEE Photon. Technol. Lett. (1)

L. Torner, J. P. Torres, and D. Mihalache, “New type of guided waves in birefringent media,” IEEE Photon. Technol. Lett. 5, 201–203 (1993).
[CrossRef]

J. Opt. Soc. Am. B (2)

Nature (1)

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

Opt. Express (3)

Opt. Lett. (10)

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton modes, stability, and drift in optical lattices with spatially modulated nonlinearity,” Opt. Lett. 33, 1747–1749(2008).
[CrossRef]

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

Y. He, D. Mihalache, and B. Hu, “Soliton drift, rebound, penetration, and trapping at the interface between media with uniform and spatially modulated nonlinearities,” Opt. Lett. 35, 1716–1718 (2010).
[CrossRef]

D. Mihalache, D. Mazilu, F. Lederer, and Y. S. Kivshar, “Spatiotemporal surface solitons in two-dimensional photonic lattices,” Opt. Lett. 32, 3173–3175 (2007).
[CrossRef]

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).
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E. Smirnov, M. Stepić, 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]

M. I. Molina, I. L. Garanovich, A. A. Sukhorukov, and Y. S. Kivshar, “Discrete surface solitons in semi-infinite binary waveguide arrays,” Opt. Lett. 31, 2332–2334 (2006).
[CrossRef]

M. I. Molina, Y. V. Kartashov, L. Torner, and Y. S. Kivshar, “Surface solitons in chirped photonic lattices,” Opt. Lett. 32, 2668–2670 (2007).
[CrossRef]

D. Mihalache, G. I. Stegeman, C. T. Seaton, E. M. Wright, R. Zanoni, A. D. Boardman, and T. Twardowski, “Exact dispersion relations for transverse magnetic polarized guided waves at a nonlinear interface,” Opt. Lett. 12, 187–189 (1987).
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E. Feigenbaum and M. Orenstein, “Plasmon soliton,” Opt. Lett. 32, 674–676 (2007).
[CrossRef]

Opt. Quantum Electron. (1)

D. Mihalache, D. M. Baboiu, M. Ciumac, L. Torner, and J. P. Torres, “Hybrid surface plasmon polaritons guided by ultrathin metal films,” Opt. Quantum Electron. 26, 857–863 (1994).
[CrossRef]

Phys. Rep. (1)

F. Lederer, G. I. Stegeman, D. N. Christodoulides, G. Assanto, M. Segev, and Y. Silberberg, “Discrete solitons in optics,” Phys. Rep. 463, 1–126 (2008).
[CrossRef]

Phys. Rev. A (2)

Y. V. Kartashov, B. A. Malomed, V. A. Vysloukh, and L. Torner, “Stabilization of multibeam necklace solitons in circular arrays with spatially modulated nonlinearity,” Phys. Rev. A 80, 053816 (2009).
[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Dynamics of surface solitons at the edge of chirped optical lattices,” Phys. Rev. A 76, 013831 (2007).
[CrossRef]

Phys. Rev. E (1)

H. Sakaguchi and B. A. Malomed, “Two-dimensional solitons in the Gross–Pitaevskii equation with spatially modulated nonlinearity,” Phys. Rev. E 73, 026601 (2006).
[CrossRef]

Phys. Rev. Lett. (7)

Y. Sivan, G. Fibich, and M. I. Weinstein, “Waves in nonlinear lattices: ultrashort optical pulses and Bose–Einstein condensates,” Phys. Rev. Lett. 97, 193902 (2006).
[CrossRef]

O. Takayama, L. Crasovan, D. Artigas, and L. Torner, “Observation of Dyakonov surface waves,” Phys. Rev. Lett. 102, 043903(2009).
[CrossRef]

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Two-dimensional lattice interface solitons,” Phys. Rev. Lett. 97, 083901 (2006).
[CrossRef]

F. Ye, D. Mihalache, B. Hu, and N. C. Panoiu, “Subwavelength plasmonic lattice solitons in arrays of metallic nanowires,” Phys. Rev. Lett. 104, 106802 (2010).
[CrossRef]

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

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

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

Prog. Opt. (1)

D. Mihalache, M. Bertolotti, and C. Sibilia, “Nonlinear wave propagation in planar structures,” Prog. Opt. 27, 227–313 (1989).
[CrossRef]

Rom. Rep. Phys. (1)

D. Mihalache and D. Mazilu, “Discrete surface light bullets,” Rom. Rep. Phys. 61, 235–258 (2009).

Solid State Commun. (1)

F. Lederer and D. Mihalache, “An additional kind of nonlinear s-polarized surface plasmon polaritons,” Solid State Commun. 59, 151–153 (1986).
[CrossRef]

Other (1)

Y.-J. He and B. A. Malomed, “Surface waves and boundary effects in DNLS equations,” in The Discrete Nonlinear Schrödinger Equation: Mathematical Analysis, Numerical Computations and Physical Perspectives, P.G.Kevrekidis, ed. (Springer, 2009), pp. 259–276.

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