Abstract

A simple but new model, an interface separated by 1-D Bessel optical potential with different modulation depth on the opposite side of the interface was proposed. We show this model can support stable surface solitons. Surface solitons form because diffraction and defocusing nonlinearity are balanced by the Bessel potential. We demonstrate numerically such solitons are stable in their entire existence domain even for higher-order Bessel potential.

©2007 Optical Society of America

Full Article  |  PDF Article
More Like This
Necklace solitons and ring solitons in Bessel optical lattices

Liangwei Dong, Hui Wang, Weidong Zhou, Xiaoyu Yang, Xiang Lv, and Haiyun Chen
Opt. Express 16(8) 5649-5655 (2008)

Surface vortex solitons

Yaroslav V. Kartashov, Alexey A. Egorov, Victor A. Vysloukh, and Lluis Torner
Opt. Express 14(9) 4049-4057 (2006)

Multipeaked fundamental and vortex solitons in azimuthally modulated Bessel lattices

Jiangbo Zheng and Liangwei Dong
J. Opt. Soc. Am. B 28(4) 780-786 (2011)

View More...

References

  • View by:
  • Article Order
  • Year
  • Author
  • Publication
  1. L. Stenflo, “Theory of nonlinear plasma surface waves,” Physica Scripta T63,59 (1996).
    [Crossref]
  2. R. K. Dodd, J. C. Eilbeck, J. D. Gibbon, and H. C. Morris, Solitons and nonlinear wave equations (Academic Press, London., 1982).
  3. G. Maugin, Nonlinear Waves in Elastic rystals (Oxford University Press: Oxford, 2000).
  4. I. L. Garanovich, A. A. Sukhorukov, and Y. S. Kivshar, “Surface multi-gap vector solitons,” Opt. Express 14,4780 (2006).
    [Crossref] [PubMed]
  5. K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, “Discrete surface solitons,” Opt. Lett. 30,2466 (2005).
    [Crossref] [PubMed]
  6. 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, 063,901 (2006).
    [Crossref]
  7. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface Gap Solitons,” Phys. Rev. Lett. 96, 073,901 (2006).
    [Crossref]
  8. 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, 083,901 (2006).
    [Crossref]
  9. G. A. Siviloglou, K. G. Makris, R. Iwanow, R. Schiek, D. N. Christodoulides, G. I. Stegeman, Y. Min, and W. Sohler, “Observation of discrete quadratic surface solitons,” Opt. Express 14,5508 (2006).
    [Crossref] [PubMed]
  10. Y. V. Kartashov and L. Torner, “Multipole-mode surface solitons,” Opt. Lett. 31,2172 (2006).
    [Crossref] [PubMed]
  11. K. Motzek, A. A. Sukhorukov, and Y. S. Kivshar, “Polychromatic interface solitons in nonlinear photonic lattices,” Opt. Lett. 31,3125 (2006).
    [Crossref] [PubMed]
  12. Y. V. Kartashov, A. A. Egorov, V. A. Vysloukh, and L. Torner, “Surface vortex solitons,” .Opt. Express 14,4049 (2006).
    [Crossref] [PubMed]
  13. J. Arlt and K. Dholakia, “Generation of high-order Bessel beams by use of an axicon,” Opt. Commun. 177,297 (2000).
    [Crossref]
  14. N. Chattrapiban, E. A. Rogers, D. Cofield, W. T. Hill, and R. Roy, “Generation of nondiffracting Bessel beams by use of a spatial light modulator,” Opt. Lett. 28,2183 (2003).
    [Crossref] [PubMed]
  15. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Stable Ring-Profile Vortex Solitons in Bessel Optical Lattices,” Phys. Rev. Lett. 94, 043,902 (2005).
    [Crossref]
  16. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton spiraling in optically induced rotating Bessel lattices,” Opt. Lett. 30,637 (2005).
    [Crossref] [PubMed]
  17. R. Fischer, D. N. Neshev, S. Lopez-Aguayo, A. S. Desyatnikov, A. A. Sukhorukov, W. Krolikowski, and Y. S. Kivshar, “Observation of light localization in modulated Bessel optical lattices,” Opt. Express 14,2825 (2006).
    [Crossref] [PubMed]
  18. X. Wang, Z. Chen, and P. G. Kevrekidis, “Observation of Discrete Solitons and Soliton Rotation in Optically Induced Periodic Ring Lattices,” Phys. Rev. Lett. 96, 083,904 (2006).
  19. Y. V. Kartashov, A. Ferrando, A. A. Egorov, and L. Torner, “Soliton Topology versus Discrete Symmetry in Optical Lattices,” Phys. Rev. Lett. 95, 123,902 (2005).
    [Crossref]
  20. D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. Kartashov, L.-C. Crasovan, and L. Torner, “Stable Spatiotemporal Solitons in Bessel Optical Lattices,” Phys. Rev. Lett. 95, 023,902 (2005).
    [Crossref]

2006 (10)

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, 063,901 (2006).
[Crossref]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface Gap Solitons,” Phys. Rev. Lett. 96, 073,901 (2006).
[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, 083,901 (2006).
[Crossref]

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

Y. V. Kartashov and L. Torner, “Multipole-mode surface solitons,” Opt. Lett. 31,2172 (2006).
[Crossref] [PubMed]

K. Motzek, A. A. Sukhorukov, and Y. S. Kivshar, “Polychromatic interface solitons in nonlinear photonic lattices,” Opt. Lett. 31,3125 (2006).
[Crossref] [PubMed]

Y. V. Kartashov, A. A. Egorov, V. A. Vysloukh, and L. Torner, “Surface vortex solitons,” .Opt. Express 14,4049 (2006).
[Crossref] [PubMed]

I. L. Garanovich, A. A. Sukhorukov, and Y. S. Kivshar, “Surface multi-gap vector solitons,” Opt. Express 14,4780 (2006).
[Crossref] [PubMed]

R. Fischer, D. N. Neshev, S. Lopez-Aguayo, A. S. Desyatnikov, A. A. Sukhorukov, W. Krolikowski, and Y. S. Kivshar, “Observation of light localization in modulated Bessel optical lattices,” Opt. Express 14,2825 (2006).
[Crossref] [PubMed]

X. Wang, Z. Chen, and P. G. Kevrekidis, “Observation of Discrete Solitons and Soliton Rotation in Optically Induced Periodic Ring Lattices,” Phys. Rev. Lett. 96, 083,904 (2006).

2005 (5)

Y. V. Kartashov, A. Ferrando, A. A. Egorov, and L. Torner, “Soliton Topology versus Discrete Symmetry in Optical Lattices,” Phys. Rev. Lett. 95, 123,902 (2005).
[Crossref]

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. Kartashov, L.-C. Crasovan, and L. Torner, “Stable Spatiotemporal Solitons in Bessel Optical Lattices,” Phys. Rev. Lett. 95, 023,902 (2005).
[Crossref]

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

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Stable Ring-Profile Vortex Solitons in Bessel Optical Lattices,” Phys. Rev. Lett. 94, 043,902 (2005).
[Crossref]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton spiraling in optically induced rotating Bessel lattices,” Opt. Lett. 30,637 (2005).
[Crossref] [PubMed]

2003 (1)

2000 (2)

G. Maugin, Nonlinear Waves in Elastic rystals (Oxford University Press: Oxford, 2000).

J. Arlt and K. Dholakia, “Generation of high-order Bessel beams by use of an axicon,” Opt. Commun. 177,297 (2000).
[Crossref]

1996 (1)

L. Stenflo, “Theory of nonlinear plasma surface waves,” Physica Scripta T63,59 (1996).
[Crossref]

Arlt, J.

J. Arlt and K. Dholakia, “Generation of high-order Bessel beams by use of an axicon,” Opt. Commun. 177,297 (2000).
[Crossref]

Chattrapiban, N.

Chen, Z.

X. Wang, Z. Chen, and P. G. Kevrekidis, “Observation of Discrete Solitons and Soliton Rotation in Optically Induced Periodic Ring Lattices,” Phys. Rev. Lett. 96, 083,904 (2006).

Christodoulides, D. N.

Cofield, D.

Crasovan, L.-C.

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. Kartashov, L.-C. Crasovan, and L. Torner, “Stable Spatiotemporal Solitons in Bessel Optical Lattices,” Phys. Rev. Lett. 95, 023,902 (2005).
[Crossref]

Desyatnikov, A. S.

Dholakia, K.

J. Arlt and K. Dholakia, “Generation of high-order Bessel beams by use of an axicon,” Opt. Commun. 177,297 (2000).
[Crossref]

Dodd, R. K.

R. K. Dodd, J. C. Eilbeck, J. D. Gibbon, and H. C. Morris, Solitons and nonlinear wave equations (Academic Press, London., 1982).

Egorov, A. A.

Y. V. Kartashov, A. A. Egorov, V. A. Vysloukh, and L. Torner, “Surface vortex solitons,” .Opt. Express 14,4049 (2006).
[Crossref] [PubMed]

Y. V. Kartashov, A. Ferrando, A. A. Egorov, and L. Torner, “Soliton Topology versus Discrete Symmetry in Optical Lattices,” Phys. Rev. Lett. 95, 123,902 (2005).
[Crossref]

Eilbeck, J. C.

R. K. Dodd, J. C. Eilbeck, J. D. Gibbon, and H. C. Morris, Solitons and nonlinear wave equations (Academic Press, London., 1982).

Ferrando, A.

Y. V. Kartashov, A. Ferrando, A. A. Egorov, and L. Torner, “Soliton Topology versus Discrete Symmetry in Optical Lattices,” Phys. Rev. Lett. 95, 123,902 (2005).
[Crossref]

Fischer, R.

Garanovich, I. L.

Gibbon, J. D.

R. K. Dodd, J. C. Eilbeck, J. D. Gibbon, and H. C. Morris, Solitons and nonlinear wave equations (Academic Press, London., 1982).

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, 063,901 (2006).
[Crossref]

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

Hill, W. T.

Iwanow, R.

Kartashov, Y.

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. Kartashov, L.-C. Crasovan, and L. Torner, “Stable Spatiotemporal Solitons in Bessel Optical Lattices,” Phys. Rev. Lett. 95, 023,902 (2005).
[Crossref]

Kartashov, Y. V.

Y. V. Kartashov and L. Torner, “Multipole-mode surface solitons,” Opt. Lett. 31,2172 (2006).
[Crossref] [PubMed]

Y. V. Kartashov, A. A. Egorov, V. A. Vysloukh, and L. Torner, “Surface vortex solitons,” .Opt. Express 14,4049 (2006).
[Crossref] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface Gap Solitons,” Phys. Rev. Lett. 96, 073,901 (2006).
[Crossref]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Stable Ring-Profile Vortex Solitons in Bessel Optical Lattices,” Phys. Rev. Lett. 94, 043,902 (2005).
[Crossref]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton spiraling in optically induced rotating Bessel lattices,” Opt. Lett. 30,637 (2005).
[Crossref] [PubMed]

Y. V. Kartashov, A. Ferrando, A. A. Egorov, and L. Torner, “Soliton Topology versus Discrete Symmetry in Optical Lattices,” Phys. Rev. Lett. 95, 123,902 (2005).
[Crossref]

Kevrekidis, P. G.

X. Wang, Z. Chen, and P. G. Kevrekidis, “Observation of Discrete Solitons and Soliton Rotation in Optically Induced Periodic Ring Lattices,” Phys. Rev. Lett. 96, 083,904 (2006).

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, “Observation of surface gap solitons in semi-infinite waveguide arrays,” Phys. Rev. Lett. 97, 083,901 (2006).
[Crossref]

R. Fischer, D. N. Neshev, S. Lopez-Aguayo, A. S. Desyatnikov, A. A. Sukhorukov, W. Krolikowski, and Y. S. Kivshar, “Observation of light localization in modulated Bessel optical lattices,” Opt. Express 14,2825 (2006).
[Crossref] [PubMed]

Lederer, F.

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. Kartashov, L.-C. Crasovan, and L. Torner, “Stable Spatiotemporal Solitons in Bessel Optical Lattices,” Phys. Rev. Lett. 95, 023,902 (2005).
[Crossref]

Lopez-Aguayo, S.

Makris, K. G.

Malomed, B. A.

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. Kartashov, L.-C. Crasovan, and L. Torner, “Stable Spatiotemporal Solitons in Bessel Optical Lattices,” Phys. Rev. Lett. 95, 023,902 (2005).
[Crossref]

Maugin, G.

G. Maugin, Nonlinear Waves in Elastic rystals (Oxford University Press: Oxford, 2000).

Mazilu, D.

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. Kartashov, L.-C. Crasovan, and L. Torner, “Stable Spatiotemporal Solitons in Bessel Optical Lattices,” Phys. Rev. Lett. 95, 023,902 (2005).
[Crossref]

Mihalache, D.

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. Kartashov, L.-C. Crasovan, and L. Torner, “Stable Spatiotemporal Solitons in Bessel Optical Lattices,” Phys. Rev. Lett. 95, 023,902 (2005).
[Crossref]

Min, Y.

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, 083,901 (2006).
[Crossref]

Molina, M. I.

C. R. Rosberg, D. N. Neshev, W. Krolikowski, A. Mitchell, R. A. Vicencio, M. I. Molina, and Y. S. Kivshar, “Observation of surface gap solitons in semi-infinite waveguide arrays,” Phys. Rev. Lett. 97, 083,901 (2006).
[Crossref]

Morandotti, R.

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, 063,901 (2006).
[Crossref]

Morris, H. C.

R. K. Dodd, J. C. Eilbeck, J. D. Gibbon, and H. C. Morris, Solitons and nonlinear wave equations (Academic Press, London., 1982).

Motzek, K.

Neshev, D. N.

R. Fischer, D. N. Neshev, S. Lopez-Aguayo, A. S. Desyatnikov, A. A. Sukhorukov, W. Krolikowski, and Y. S. Kivshar, “Observation of light localization in modulated Bessel optical lattices,” Opt. Express 14,2825 (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, 083,901 (2006).
[Crossref]

Rogers, E. A.

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, 083,901 (2006).
[Crossref]

Roy, R.

Salamo, G.

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, 063,901 (2006).
[Crossref]

Schiek, R.

Siviloglou, G. A.

Sohler, W.

Sorel, M.

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, 063,901 (2006).
[Crossref]

Stegeman, G. I.

Stenflo, L.

L. Stenflo, “Theory of nonlinear plasma surface waves,” Physica Scripta T63,59 (1996).
[Crossref]

Sukhorukov, A. A.

Suntsov, S.

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, 063,901 (2006).
[Crossref]

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

Torner, L.

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface Gap Solitons,” Phys. Rev. Lett. 96, 073,901 (2006).
[Crossref]

Y. V. Kartashov, A. A. Egorov, V. A. Vysloukh, and L. Torner, “Surface vortex solitons,” .Opt. Express 14,4049 (2006).
[Crossref] [PubMed]

Y. V. Kartashov and L. Torner, “Multipole-mode surface solitons,” Opt. Lett. 31,2172 (2006).
[Crossref] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Stable Ring-Profile Vortex Solitons in Bessel Optical Lattices,” Phys. Rev. Lett. 94, 043,902 (2005).
[Crossref]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton spiraling in optically induced rotating Bessel lattices,” Opt. Lett. 30,637 (2005).
[Crossref] [PubMed]

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. Kartashov, L.-C. Crasovan, and L. Torner, “Stable Spatiotemporal Solitons in Bessel Optical Lattices,” Phys. Rev. Lett. 95, 023,902 (2005).
[Crossref]

Y. V. Kartashov, A. Ferrando, A. A. Egorov, and L. Torner, “Soliton Topology versus Discrete Symmetry in Optical Lattices,” Phys. Rev. Lett. 95, 123,902 (2005).
[Crossref]

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, 083,901 (2006).
[Crossref]

Vysloukh, V. A.

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface Gap Solitons,” Phys. Rev. Lett. 96, 073,901 (2006).
[Crossref]

Y. V. Kartashov, A. A. Egorov, V. A. Vysloukh, and L. Torner, “Surface vortex solitons,” .Opt. Express 14,4049 (2006).
[Crossref] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Soliton spiraling in optically induced rotating Bessel lattices,” Opt. Lett. 30,637 (2005).
[Crossref] [PubMed]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Stable Ring-Profile Vortex Solitons in Bessel Optical Lattices,” Phys. Rev. Lett. 94, 043,902 (2005).
[Crossref]

Wang, X.

X. Wang, Z. Chen, and P. G. Kevrekidis, “Observation of Discrete Solitons and Soliton Rotation in Optically Induced Periodic Ring Lattices,” Phys. Rev. Lett. 96, 083,904 (2006).

Yang, H.

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, 063,901 (2006).
[Crossref]

Opt. Commun. (1)

J. Arlt and K. Dholakia, “Generation of high-order Bessel beams by use of an axicon,” Opt. Commun. 177,297 (2000).
[Crossref]

Opt. Express (4)

Opt. Lett. (5)

Phys. Rev. Lett. (7)

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Stable Ring-Profile Vortex Solitons in Bessel Optical Lattices,” Phys. Rev. Lett. 94, 043,902 (2005).
[Crossref]

X. Wang, Z. Chen, and P. G. Kevrekidis, “Observation of Discrete Solitons and Soliton Rotation in Optically Induced Periodic Ring Lattices,” Phys. Rev. Lett. 96, 083,904 (2006).

Y. V. Kartashov, A. Ferrando, A. A. Egorov, and L. Torner, “Soliton Topology versus Discrete Symmetry in Optical Lattices,” Phys. Rev. Lett. 95, 123,902 (2005).
[Crossref]

D. Mihalache, D. Mazilu, F. Lederer, B. A. Malomed, Y. Kartashov, L.-C. Crasovan, and L. Torner, “Stable Spatiotemporal Solitons in Bessel Optical Lattices,” Phys. Rev. Lett. 95, 023,902 (2005).
[Crossref]

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, 063,901 (2006).
[Crossref]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, “Surface Gap Solitons,” Phys. Rev. Lett. 96, 073,901 (2006).
[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, 083,901 (2006).
[Crossref]

Physica Scripta (1)

L. Stenflo, “Theory of nonlinear plasma surface waves,” Physica Scripta T63,59 (1996).
[Crossref]

Other (2)

R. K. Dodd, J. C. Eilbeck, J. D. Gibbon, and H. C. Morris, Solitons and nonlinear wave equations (Academic Press, London., 1982).

G. Maugin, Nonlinear Waves in Elastic rystals (Oxford University Press: Oxford, 2000).

Cited By

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

Alert me when this article is cited.


Figures (6)
Fig. 1.
Fig. 1. Properties of (surface) soliton with a 0-order Bessel potential. (a) Power of surface soliton with pl = 15 and different pr versus b. (b) Profiles of ground-state soliton with pl = pr = 15. (c) Surface soliton profiles with pl = 25 and pr = 10. (d) Typical bcutoff curve versus pl for different pr .

Download Full Size | PPT Slide | PDF

Fig. 2.
Fig. 2. Evolution of the solitons with (a) pl = pr = 15,b = 0.2. (b)pl = -23, pr = 16,b = 1.1. (c) pl = 8, pr = 47,b = 2.6. The white noise with variance σ2 noise = 0.01 was added into the initial input.

Download Full Size | PPT Slide | PDF

Fig. 3.
Fig. 3. Properties of surfaces soliton with a 1–order Bessel potential. (a) Power of surface soliton with pl = 15 and different pl versus b. (b) Typical bcutoff curves with pl for different pr .

Download Full Size | PPT Slide | PDF

Fig. 4.
Fig. 4. Profiles of surface soliton with 1-order Bessel potential. (a) pl = pr = 15,b = 1.6, (b) pl = -5, pr = 25,b = 0.8, (c) pl = -5, pr = 2,b = 0.05, (d) pl = 2, pr = 35,b = 0.5

Download Full Size | PPT Slide | PDF

Fig. 5.
Fig. 5. Evolution of the solitons shown in Fig. 4. The white noise with variance σ2 noise = 0.01 was added into the initial input.

Download Full Size | PPT Slide | PDF

Fig. 6.
Fig. 6. Profiles and evolution of the solitons with higher-order Bessel potential. (a,d) pl = pr = 20,b = 0.2, (b,e) pl = 10, pr = 20,b = 0.5 with n = 2. (c,f) pl = 100, pr = 250,b = 1.8 with n = 5. The white noise with σ2 noise = 0.01 was added into the initial input in (d,e,f).

Download Full Size | PPT Slide | PDF

Equations (5)

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

i ∂ A ∂ z + 1 2 ∂ 2 A ∂ x 2 − ∣ A ∣ 2 A + R ( x ) A = 0
P = ∫ − ∞ ∞ ∣ A ∣ 2 dx H = 1 2 ∫ − ∞ ∞ [ ∣ dA dx ∣ 2 − 2 R ( x ) ∣ A ∣ 2 + ∣ A ∣ 4 ] dx
d 2 q dx 2 − 2 bq − 2 q 3 + 2 Rq = 0
λu = 1 2 d 2 u dx 2 − q 2 ( 2 u + v ) + Ru − bu
λv = 1 2 d 2 v dx 2 + q 2 ( 2 u + v ) − Rv + b v

Metrics