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] [PubMed]
  2. 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.
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  4. W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824–830 (2003).
    [CrossRef] [PubMed]
  5. F. Lederer and D. Mihalache, “An additional kind of nonlinear s-polarized surface plasmon polaritons,” Solid State Commun. 59, 151–153 (1986).
    [CrossRef]
  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).
    [CrossRef] [PubMed]
  7. D. Mihalache, M. Bertolotti, and C. Sibilia, “Nonlinear wave propagation in planar structures,” Prog. Opt. 27, 227–313 (1989).
    [CrossRef]
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  11. D. Artigas and L. Torner, “Dyakonov surface waves in photonic metamaterials,” Phys. Rev. Lett. 94, 013901 (2005).
    [CrossRef] [PubMed]
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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] [PubMed]
  24. D. Mihalache, D. Mazilu, F. Lederer, and Y. S. Kivshar, “Stable discrete surface light bullets,” Opt. Express 15, 589–595(2007).
    [CrossRef] [PubMed]
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  26. 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] [PubMed]
  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] [PubMed]
  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] [PubMed]
  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] [PubMed]
  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]
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    [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] [PubMed]

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] [PubMed]

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

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] [PubMed]

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] [PubMed]

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] [PubMed]

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

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] [PubMed]

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] [PubMed]

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

2005 (1)

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

2003 (1)

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

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] [PubMed]

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

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] [PubMed]

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] [PubMed]

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] [PubMed]

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] [PubMed]

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

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] [PubMed]

Davoyan, A. R.

Dereux, A.

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

Ebbesen, T. W.

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

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] [PubMed]

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.
[CrossRef] [PubMed]

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] [PubMed]

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] [PubMed]

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] [PubMed]

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] [PubMed]

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] [PubMed]

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] [PubMed]

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] [PubMed]

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] [PubMed]

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

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] [PubMed]

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.
[CrossRef] [PubMed]

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] [PubMed]

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] [PubMed]

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] [PubMed]

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

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] [PubMed]

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] [PubMed]

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] [PubMed]

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] [PubMed]

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] [PubMed]

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] [PubMed]

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] [PubMed]

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] [PubMed]

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

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] [PubMed]

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] [PubMed]

Torner, L.

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

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] [PubMed]

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] [PubMed]

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] [PubMed]

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] [PubMed]

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

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] [PubMed]

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] [PubMed]

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] [PubMed]

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] [PubMed]

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] [PubMed]

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).
[CrossRef] [PubMed]

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] [PubMed]

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] [PubMed]

Opt. Express (3)

Opt. Lett. (10)

E. Feigenbaum and M. Orenstein, “Plasmon soliton,” Opt. Lett. 32, 674–676 (2007).
[CrossRef] [PubMed]

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

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] [PubMed]

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] [PubMed]

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] [PubMed]

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] [PubMed]

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] [PubMed]

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] [PubMed]

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] [PubMed]

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

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, 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, 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]

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] [PubMed]

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

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] [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]

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] [PubMed]

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

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

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.
[CrossRef] [PubMed]

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Figures (6)

Fig. 1
Fig. 1

(a) Intensity distribution [ I = 1 p R ( x ) ] of positively chirped modulated nonlinearities (left part, uniform media; right part, chirped nonlinear modulation: the curves represent, from bottom to top, blue curve, p = 0.5 ; green curve, p = 0.2 ; magenta curve, p = 0.2 ; black curve, p = 0.5 ). (b) Soliton power U versus modulation depth p when μ = 0.7 (with W 0 = 5 and α = 0.1 ).

Fig. 2
Fig. 2

For positively chirped nonlinear modulation and p > 0 . (a) White region, soliton trapping regime; gray region: soliton left drift regime. (b), (c) Soliton trapping in the interface for p = 0.2 , μ = 0.1 , U = 1.1103 . (d), (e) Soliton drift left for p = 0.1 , μ = 0.7 , U = 2.6346 . (f), (g) Soliton drift left for p = 0.5 , μ = 0.7 , and U = 4.1743 .

Fig. 3
Fig. 3

For positively chirped nonlinear modulation and p < 0 . (a) Soliton changes propagation direction critical region (white region, soliton trapping regime; gray region, soliton right drift regime). (b), (c) Soliton trapping at the nonlinear interface for p = 0.2 , μ = 0.4 , and U = 1.4664 . (d), (e) Soliton drift right for p = 0.5 , μ = 0.45 , and U = 1.2460 . (f), (g) Soliton trapping at the nonlinear interface for p = 0.5 , μ = 0.7 , and U = 1.4316 .

Fig. 4
Fig. 4

(a) Intensity distribution of uniform and negatively chirped nonlinear modulation (left part, uniform media; right part, chirped nonlinear modulation: the curves represent, from bottom to top, blue curve, p = 0.5 ; green curve, p = 0.2 ; magenta curve, p = 0.2 ; black curve, p = 0.5 ). (b) Soliton power U versus propagation constant μ (with W 0 = 5 , α = 39 , and x α = 10 ).

Fig. 5
Fig. 5

For the negatively chirped case and p > 0 : upper white region, soliton right drift regime; gray region, soliton left drift regime; and bottom white region, soliton trapping regime. (b), (c) Soliton drift left for p = 0.2 , μ = 0.6 , U = 2.7129 . (d), (e) Soliton drift right for p = 0.2 , μ = 0.9 , and U = 3.3280 . (f), (g) Soliton trapping at the surface for p = 0.5 μ = 0.1 , and U = 1.7679 .

Fig. 6
Fig. 6

For the negatively chirped case and p < 0 . (a), (b) Soliton propagation in the surface of the chirped modulation nonlinearity for p = 0.5 , μ = 0.1 , and U = 0.5917 . (c), (d) Soliton swing for p = 0.5 , μ = 0.9 , and U = 1.7451 .

Equations (4)

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

i q z = 1 2 2 q x 2 [ 1 p R ( x ) ] | q | 2 q ,
R ( x ) = 1 cos [ W ( x ) x ] ,
R ( x ) = 0 ,
1 2 d 2 f d x 2 μ f + [ 1 p R ( x ) ] f 3 = 0 .

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