Abstract

We address the existence and properties of multipole solitons localized at a thermally insulating interface between uniform or layered thermal media and a linear dielectric. We find that in the case of uniform media, only surface multipoles with less than three poles can be stable. In contrast, we reveal that periodic alternation of the thermo-optic coefficient in layered thermal media makes possible the stabilization of higher-order multipoles.

© 2009 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
    [CrossRef]
  2. M. Peccianti, C. Conti, and G. Assanto, Opt. Lett. 30, 415 (2005).
    [CrossRef] [PubMed]
  3. M. Peccianti, K. A. Brzdakiewicz, and G. Assanto, Opt. Lett. 27, 1460 (2002).
    [CrossRef]
  4. X. Hutsebaut, C. Cambournac, M. Haelterman, A. Adamski, and K. Neyts, Opt. Commun. 233, 211 (2004).
    [CrossRef]
  5. Z. Xu, Y. V. Kartashov, and L. Torner, Opt. Lett. 30, 3171 (2005).
    [CrossRef] [PubMed]
  6. C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
    [CrossRef] [PubMed]
  7. C. Rotschild, M. Segev, Z. Xu, Y. V. KartashovL. Torner, and O. Cohen, Opt. Lett. 31, 3312 (2006).
    [CrossRef] [PubMed]
  8. C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).
    [CrossRef]
  9. B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Opt. Lett. 32, 154 (2007).
    [CrossRef]
  10. A. Minovich, D. Neshev, A. Dreischuh, W. Krolikowski, and Y. Kivshar, Opt. Lett. 32, 1599 (2007).
    [CrossRef] [PubMed]
  11. H.E.Ponath and G.I.Stegeman, eds., Nonlinear Surface Electromagnetic Phenomena (North-Holland, 1991).
  12. D. Mihalache, M. Bertolotti, and C. Sibilia, Prog. Opt. 27, 229 (1989).
  13. P. Varatharajah, A. Aceves, J. V. Moloney, D. R. Heatley, and E. M. Wright, Opt. Lett. 13, 690 (1988).
    [CrossRef] [PubMed]
  14. D. R. Andersen, Phys. Rev. A 37, 189 (1988).
    [CrossRef] [PubMed]
  15. Y. V. Kartashov, L. Torner, and V. A. Vysloukh, Opt. Lett. 31, 2595 (2006).
    [CrossRef] [PubMed]
  16. B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 98, 213901 (2007).
    [CrossRef] [PubMed]
  17. F. Ye, Y. V. Kartashov, and L. Torner, Phys. Rev. A 77, 033829 (2008).
    [CrossRef]
  18. Y. V. Kartashov, F. Ye, V. A. Vysloukh, and L. Torner, Opt. Lett. 32, 2260 (2007).
    [CrossRef] [PubMed]
  19. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Opt. Express 15, 16216 (2007).
    [CrossRef] [PubMed]
  20. Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Opt. Lett. 33, 1774 (2008).
    [CrossRef] [PubMed]

2008 (2)

F. Ye, Y. V. Kartashov, and L. Torner, Phys. Rev. A 77, 033829 (2008).
[CrossRef]

Y. V. Kartashov, V. A. Vysloukh, and L. Torner, Opt. Lett. 33, 1774 (2008).
[CrossRef] [PubMed]

2007 (5)

2006 (3)

2005 (3)

2004 (2)

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

X. Hutsebaut, C. Cambournac, M. Haelterman, A. Adamski, and K. Neyts, Opt. Commun. 233, 211 (2004).
[CrossRef]

2002 (1)

1991 (1)

H.E.Ponath and G.I.Stegeman, eds., Nonlinear Surface Electromagnetic Phenomena (North-Holland, 1991).

1989 (1)

D. Mihalache, M. Bertolotti, and C. Sibilia, Prog. Opt. 27, 229 (1989).

1988 (2)

Aceves, A.

Adamski, A.

X. Hutsebaut, C. Cambournac, M. Haelterman, A. Adamski, and K. Neyts, Opt. Commun. 233, 211 (2004).
[CrossRef]

Alfassi, B.

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Opt. Lett. 32, 154 (2007).
[CrossRef]

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 98, 213901 (2007).
[CrossRef] [PubMed]

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).
[CrossRef]

Andersen, D. R.

D. R. Andersen, Phys. Rev. A 37, 189 (1988).
[CrossRef] [PubMed]

Assanto, G.

Bang, O.

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

Bertolotti, M.

D. Mihalache, M. Bertolotti, and C. Sibilia, Prog. Opt. 27, 229 (1989).

Brzdakiewicz, K. A.

Cambournac, C.

X. Hutsebaut, C. Cambournac, M. Haelterman, A. Adamski, and K. Neyts, Opt. Commun. 233, 211 (2004).
[CrossRef]

Carmon, T.

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef] [PubMed]

Christodoulides, D. N.

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Opt. Lett. 32, 154 (2007).
[CrossRef]

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 98, 213901 (2007).
[CrossRef] [PubMed]

Cohen, O.

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).
[CrossRef]

C. Rotschild, M. Segev, Z. Xu, Y. V. KartashovL. Torner, and O. Cohen, Opt. Lett. 31, 3312 (2006).
[CrossRef] [PubMed]

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef] [PubMed]

Conti, C.

Dreischuh, A.

Edmundson, D.

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

Haelterman, M.

X. Hutsebaut, C. Cambournac, M. Haelterman, A. Adamski, and K. Neyts, Opt. Commun. 233, 211 (2004).
[CrossRef]

Heatley, D. R.

Hutsebaut, X.

X. Hutsebaut, C. Cambournac, M. Haelterman, A. Adamski, and K. Neyts, Opt. Commun. 233, 211 (2004).
[CrossRef]

Kartashov, Y. V.

Kivshar, Y.

Krolikowski, W.

A. Minovich, D. Neshev, A. Dreischuh, W. Krolikowski, and Y. Kivshar, Opt. Lett. 32, 1599 (2007).
[CrossRef] [PubMed]

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

Manela, O.

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Opt. Lett. 32, 154 (2007).
[CrossRef]

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 98, 213901 (2007).
[CrossRef] [PubMed]

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef] [PubMed]

Mihalache, D.

D. Mihalache, M. Bertolotti, and C. Sibilia, Prog. Opt. 27, 229 (1989).

Minovich, A.

Moloney, J. V.

Neshev, D.

A. Minovich, D. Neshev, A. Dreischuh, W. Krolikowski, and Y. Kivshar, Opt. Lett. 32, 1599 (2007).
[CrossRef] [PubMed]

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

Neyts, K.

X. Hutsebaut, C. Cambournac, M. Haelterman, A. Adamski, and K. Neyts, Opt. Commun. 233, 211 (2004).
[CrossRef]

Nikolov, N. I.

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

Peccianti, M.

Rasmussen, J. J.

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

Rotschild, C.

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Opt. Lett. 32, 154 (2007).
[CrossRef]

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 98, 213901 (2007).
[CrossRef] [PubMed]

C. Rotschild, M. Segev, Z. Xu, Y. V. KartashovL. Torner, and O. Cohen, Opt. Lett. 31, 3312 (2006).
[CrossRef] [PubMed]

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).
[CrossRef]

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef] [PubMed]

Segev, M.

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 98, 213901 (2007).
[CrossRef] [PubMed]

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Opt. Lett. 32, 154 (2007).
[CrossRef]

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).
[CrossRef]

C. Rotschild, M. Segev, Z. Xu, Y. V. KartashovL. Torner, and O. Cohen, Opt. Lett. 31, 3312 (2006).
[CrossRef] [PubMed]

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef] [PubMed]

Sibilia, C.

D. Mihalache, M. Bertolotti, and C. Sibilia, Prog. Opt. 27, 229 (1989).

Torner, L.

Varatharajah, P.

Vysloukh, V. A.

Wright, E. M.

Wyller, J.

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

Xu, Z.

Ye, F.

J. Opt. B (1)

W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

Nat. Phys. (1)

C. Rotschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).
[CrossRef]

Opt. Commun. (1)

X. Hutsebaut, C. Cambournac, M. Haelterman, A. Adamski, and K. Neyts, Opt. Commun. 233, 211 (2004).
[CrossRef]

Opt. Express (1)

Opt. Lett. (10)

Phys. Rev. A (2)

F. Ye, Y. V. Kartashov, and L. Torner, Phys. Rev. A 77, 033829 (2008).
[CrossRef]

D. R. Andersen, Phys. Rev. A 37, 189 (1988).
[CrossRef] [PubMed]

Phys. Rev. Lett. (2)

B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 98, 213901 (2007).
[CrossRef] [PubMed]

C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
[CrossRef] [PubMed]

Prog. Opt. (1)

D. Mihalache, M. Bertolotti, and C. Sibilia, Prog. Opt. 27, 229 (1989).

Other (1)

H.E.Ponath and G.I.Stegeman, eds., Nonlinear Surface Electromagnetic Phenomena (North-Holland, 1991).

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 (5)

Fig. 1
Fig. 1

Profiles of (a) fundamental, (b) dipole, and (c) tripole solitons, and (d) refractive index distributions for fundamental solitons with different b values. In all cases σ a = 0 , σ b = 1 . In gray regions σ > 0 .

Fig. 2
Fig. 2

(a) Energy flow versus b for fundamental surface soliton. Circles correspond to profiles shown in Fig. 1a. (b) δ r versus b for higher-order solitons with a different number of poles. In all cases σ a = 0 , σ b = 1 .

Fig. 3
Fig. 3

Profiles of (a) fundamental, (b) dipole, and (c) tripole solitons with different b values, and (d) refractive index distributions for fundamental solitons with b = 5 (black curve) and b = 1 (gray curve). In all cases σ a = 1 , σ b = 0 . In gray regions σ > 0 .

Fig. 4
Fig. 4

(a) Energy flow versus b for fundamental surface soliton. Circles correspond to profiles shown in Fig. 3a. δ r versus b for solitons with (b) n = 3 and (c) n = 10. In all cases σ a = 1 , σ b = 0 .

Fig. 5
Fig. 5

Propagation of perturbed tripole solitons with (a) b = 7.4 and (b) b = 8.0. In both cases σ a = 1 , σ b = 0 . The white dashed line indicates interface position.

Equations (4)

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

i q ξ = 1 2 2 q η 2 σ ( η ) T q , 2 T η 2 = q 2 for L η 0 ,
i q ξ = 1 2 2 q η 2 for η < L , η > 0 .
δ u = 1 2 d 2 v d η 2 σ T v + b v ,
δ v = 1 2 d 2 u d η 2 + σ T u + σ Δ T w b u ,

Metrics