Abstract

We show that multipole solitons can be made stable via vectorial coupling in bulk nonlocal nonlinear media. Such vector solitons are composed of mutually incoherent nodeless and multipole components jointly inducing a nonlinear refractive index profile. We found that stabilization of the otherwise highly unstable multipoles occurs below certain maximum energy flow. Such a threshold is determined by the nonlocality degree.

© 2006 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. M. Peccianti, K. A. Brzdakiewicz, and G. Assanto, Opt. Lett. 27, 1460 (2002).
    [CrossRef]
  2. M. Peccianti, C. Conti, and G. Assanto, Opt. Lett. 30, 415 (2005).
    [CrossRef] [PubMed]
  3. F. Derrien, J. F. Henninot, M. Warenghem, and G. Abbate, J. Opt. A: Pure Appl. Opt. 2, 332 (2000).
    [CrossRef]
  4. A. G. Litvak, V. A. Mironov, G. M. Fraiman, and A. D. Yunakovskii, Sov. J. Plasma Phys. 1, 31 (1975).
  5. A. V. Mamaev, A. A. Zozulya, V. K. Mezentsev, D. Z. Anderson, and M. Saffman, Phys. Rev. A 56, R1110 (1997).
    [CrossRef]
  6. W. Krolikowski, O. Bang, J. J. Rasmussen, and J. Wyller, Phys. Rev. E 64, 016612 (2001).
    [CrossRef]
  7. J. Wyller, W. Krolikowski, O. Bang, and J. J. Rasmussen, Phys. Rev. E 66, 066615 (2002).
    [CrossRef]
  8. C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
    [CrossRef] [PubMed]
  9. W. Krolikowski, O. Bang, N. I. Nikolov, D. Neshev, J. Wyller, J. J. Rasmussen, and D. Edmundson, J. Opt. B: Quantum Semiclassical Opt. 6, S288 (2004).
    [CrossRef]
  10. I. A. Kolchugina, V. A. Mironov, and A. M. Sergeev, Pis'ma Zh. Eksp. Teor. Fiz. 31, 333 (1980) I. A. Kolchugina, V. A. Mironov, and A. M. Sergeev[JETP Lett. 31, 304 (1980)].
  11. X. Hutsebaut, C. Cambournac, M. Haelterman, A. Adamski, and K. Neyts, Opt. Commun. 233, 211 (2004).
    [CrossRef]
  12. Z. Xu, Y. V. Kartashov, and L. Torner, Opt. Lett. 30, 3171 (2005).
    [CrossRef] [PubMed]
  13. N. I. Nikolov, D. Neshev, W. Krolikowski, O. Bang, J. J. Rasmussen, and P. L. Christiansen, Opt. Lett. 29, 286 (2004).
    [CrossRef] [PubMed]
  14. A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 043901 (2006).
    [CrossRef] [PubMed]
  15. V. A. Mironov, A. M. Sergeev, and E. M. Sher, Dokl. Akad. Nauk SSSR 260, 325 (1981) V. A. Mironov, A. M. Sergeev, and E. M. Sher[Sov. Phys. Dokl. 26, 861 (1981)].
  16. S. Lopez-Aguayo, A. S. Desyatnikov, Y. S. Kivshar, S. Skupin, W. Krolikowski, and O. Bang, arXiv.org e-Print archive, nlin.PS/0512053 December 20, 2005, http://arxiv.org/abs/nlin/0512053.
  17. M. Mitchell, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 80, 4657 (1998).
    [CrossRef]
  18. E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, Phys. Rev. Lett. 83, 296 (1999).
    [CrossRef]
  19. J. J. Garcia-Ripoll, V. Perez-Garcia, E. A. Ostrovskaya, and Y. S. Kivshar, Phys. Rev. Lett. 85, 82 (2000).
    [CrossRef] [PubMed]
  20. W. Krolikowski, E. A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, Phys. Rev. Lett. 85, 1424 (2000).
    [CrossRef] [PubMed]
  21. T. Carmon, C. Anastassiou, S. Lan, D. Kip, Z. H. Musslimani, M. Segev, and D. N. Christodoulides, Opt. Lett. 25, 1113 (2000).
    [CrossRef]
  22. A. Desyatnikov, D. Neshev, E. Ostrovskaya, Y. S. Kivshar, W. Krolikowski, B. Luther-Davies, J. J. Garcia-Ripoll, and V. Perez-Garcia, Opt. Lett. 26, 435 (2001).
    [CrossRef]
  23. D. Neshev, G. McCarthy, W. Krolikowski, E. A. Ostrovskaya, G. F. Calvo, F. Agullo-Lopez, and Y. S. Kivshar, Opt. Lett. 26, 1185 (2001).
    [CrossRef]
  24. A. S. Desyatnikov, D. Neshev, E. A. Ostrovskaya, Y. S. Kivshar, G. McCarthy, W. Krolikowski, and B. Luther-Davies, J. Opt. Soc. Am. B 19, 586 (2002).
    [CrossRef]
  25. J. Yang and D. E. Pelinovsky, Phys. Rev. E 67, 016608 (2003).
    [CrossRef]

2006 (1)

A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 043901 (2006).
[CrossRef] [PubMed]

2005 (3)

2004 (3)

N. I. Nikolov, D. Neshev, W. Krolikowski, O. Bang, J. J. Rasmussen, and P. L. Christiansen, Opt. Lett. 29, 286 (2004).
[CrossRef] [PubMed]

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

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

2003 (1)

J. Yang and D. E. Pelinovsky, Phys. Rev. E 67, 016608 (2003).
[CrossRef]

2002 (3)

2001 (3)

2000 (4)

F. Derrien, J. F. Henninot, M. Warenghem, and G. Abbate, J. Opt. A: Pure Appl. Opt. 2, 332 (2000).
[CrossRef]

T. Carmon, C. Anastassiou, S. Lan, D. Kip, Z. H. Musslimani, M. Segev, and D. N. Christodoulides, Opt. Lett. 25, 1113 (2000).
[CrossRef]

J. J. Garcia-Ripoll, V. Perez-Garcia, E. A. Ostrovskaya, and Y. S. Kivshar, Phys. Rev. Lett. 85, 82 (2000).
[CrossRef] [PubMed]

W. Krolikowski, E. A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, Phys. Rev. Lett. 85, 1424 (2000).
[CrossRef] [PubMed]

1999 (1)

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, Phys. Rev. Lett. 83, 296 (1999).
[CrossRef]

1998 (1)

M. Mitchell, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 80, 4657 (1998).
[CrossRef]

1997 (1)

A. V. Mamaev, A. A. Zozulya, V. K. Mezentsev, D. Z. Anderson, and M. Saffman, Phys. Rev. A 56, R1110 (1997).
[CrossRef]

1981 (1)

V. A. Mironov, A. M. Sergeev, and E. M. Sher, Dokl. Akad. Nauk SSSR 260, 325 (1981) V. A. Mironov, A. M. Sergeev, and E. M. Sher[Sov. Phys. Dokl. 26, 861 (1981)].

1980 (1)

I. A. Kolchugina, V. A. Mironov, and A. M. Sergeev, Pis'ma Zh. Eksp. Teor. Fiz. 31, 333 (1980) I. A. Kolchugina, V. A. Mironov, and A. M. Sergeev[JETP Lett. 31, 304 (1980)].

1975 (1)

A. G. Litvak, V. A. Mironov, G. M. Fraiman, and A. D. Yunakovskii, Sov. J. Plasma Phys. 1, 31 (1975).

Abbate, G.

F. Derrien, J. F. Henninot, M. Warenghem, and G. Abbate, J. Opt. A: Pure Appl. Opt. 2, 332 (2000).
[CrossRef]

Adamski, A.

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

Agullo-Lopez, F.

Anastassiou, C.

Anderson, D. Z.

A. V. Mamaev, A. A. Zozulya, V. K. Mezentsev, D. Z. Anderson, and M. Saffman, Phys. Rev. A 56, R1110 (1997).
[CrossRef]

Assanto, G.

Bang, O.

A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 043901 (2006).
[CrossRef] [PubMed]

N. I. Nikolov, D. Neshev, W. Krolikowski, O. Bang, J. J. Rasmussen, and P. L. Christiansen, Opt. Lett. 29, 286 (2004).
[CrossRef] [PubMed]

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

J. Wyller, W. Krolikowski, O. Bang, and J. J. Rasmussen, Phys. Rev. E 66, 066615 (2002).
[CrossRef]

W. Krolikowski, O. Bang, J. J. Rasmussen, and J. Wyller, Phys. Rev. E 64, 016612 (2001).
[CrossRef]

S. Lopez-Aguayo, A. S. Desyatnikov, Y. S. Kivshar, S. Skupin, W. Krolikowski, and O. Bang, arXiv.org e-Print archive, nlin.PS/0512053 December 20, 2005, http://arxiv.org/abs/nlin/0512053.

Brzdakiewicz, K. A.

Calvo, G. F.

Cambournac, C.

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

Carmon, T.

Christiansen, P. L.

Christodoulides, D. N.

Cohen, O.

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

Conti, C.

Denz, C.

W. Krolikowski, E. A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, Phys. Rev. Lett. 85, 1424 (2000).
[CrossRef] [PubMed]

Derrien, F.

F. Derrien, J. F. Henninot, M. Warenghem, and G. Abbate, J. Opt. A: Pure Appl. Opt. 2, 332 (2000).
[CrossRef]

Desyatnikov, A.

Desyatnikov, A. S.

A. S. Desyatnikov, D. Neshev, E. A. Ostrovskaya, Y. S. Kivshar, G. McCarthy, W. Krolikowski, and B. Luther-Davies, J. Opt. Soc. Am. B 19, 586 (2002).
[CrossRef]

S. Lopez-Aguayo, A. S. Desyatnikov, Y. S. Kivshar, S. Skupin, W. Krolikowski, and O. Bang, arXiv.org e-Print archive, nlin.PS/0512053 December 20, 2005, http://arxiv.org/abs/nlin/0512053.

Dreischuh, A.

A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 043901 (2006).
[CrossRef] [PubMed]

Edmundson, D.

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

Firth, W. J.

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, Phys. Rev. Lett. 83, 296 (1999).
[CrossRef]

Fraiman, G. M.

A. G. Litvak, V. A. Mironov, G. M. Fraiman, and A. D. Yunakovskii, Sov. J. Plasma Phys. 1, 31 (1975).

Garcia-Ripoll, J. J.

Geisser, M.

W. Krolikowski, E. A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, Phys. Rev. Lett. 85, 1424 (2000).
[CrossRef] [PubMed]

Haelterman, M.

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

Henninot, J. F.

F. Derrien, J. F. Henninot, M. Warenghem, and G. Abbate, J. Opt. A: Pure Appl. Opt. 2, 332 (2000).
[CrossRef]

Hutsebaut, X.

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

Kartashov, Y. V.

Kip, D.

Kivshar, Y. S.

A. S. Desyatnikov, D. Neshev, E. A. Ostrovskaya, Y. S. Kivshar, G. McCarthy, W. Krolikowski, and B. Luther-Davies, J. Opt. Soc. Am. B 19, 586 (2002).
[CrossRef]

A. Desyatnikov, D. Neshev, E. Ostrovskaya, Y. S. Kivshar, W. Krolikowski, B. Luther-Davies, J. J. Garcia-Ripoll, and V. Perez-Garcia, Opt. Lett. 26, 435 (2001).
[CrossRef]

D. Neshev, G. McCarthy, W. Krolikowski, E. A. Ostrovskaya, G. F. Calvo, F. Agullo-Lopez, and Y. S. Kivshar, Opt. Lett. 26, 1185 (2001).
[CrossRef]

J. J. Garcia-Ripoll, V. Perez-Garcia, E. A. Ostrovskaya, and Y. S. Kivshar, Phys. Rev. Lett. 85, 82 (2000).
[CrossRef] [PubMed]

W. Krolikowski, E. A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, Phys. Rev. Lett. 85, 1424 (2000).
[CrossRef] [PubMed]

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, Phys. Rev. Lett. 83, 296 (1999).
[CrossRef]

S. Lopez-Aguayo, A. S. Desyatnikov, Y. S. Kivshar, S. Skupin, W. Krolikowski, and O. Bang, arXiv.org e-Print archive, nlin.PS/0512053 December 20, 2005, http://arxiv.org/abs/nlin/0512053.

Kolchugina, I. A.

I. A. Kolchugina, V. A. Mironov, and A. M. Sergeev, Pis'ma Zh. Eksp. Teor. Fiz. 31, 333 (1980) I. A. Kolchugina, V. A. Mironov, and A. M. Sergeev[JETP Lett. 31, 304 (1980)].

Krolikowski, W.

A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 043901 (2006).
[CrossRef] [PubMed]

N. I. Nikolov, D. Neshev, W. Krolikowski, O. Bang, J. J. Rasmussen, and P. L. Christiansen, Opt. Lett. 29, 286 (2004).
[CrossRef] [PubMed]

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

A. S. Desyatnikov, D. Neshev, E. A. Ostrovskaya, Y. S. Kivshar, G. McCarthy, W. Krolikowski, and B. Luther-Davies, J. Opt. Soc. Am. B 19, 586 (2002).
[CrossRef]

J. Wyller, W. Krolikowski, O. Bang, and J. J. Rasmussen, Phys. Rev. E 66, 066615 (2002).
[CrossRef]

A. Desyatnikov, D. Neshev, E. Ostrovskaya, Y. S. Kivshar, W. Krolikowski, B. Luther-Davies, J. J. Garcia-Ripoll, and V. Perez-Garcia, Opt. Lett. 26, 435 (2001).
[CrossRef]

D. Neshev, G. McCarthy, W. Krolikowski, E. A. Ostrovskaya, G. F. Calvo, F. Agullo-Lopez, and Y. S. Kivshar, Opt. Lett. 26, 1185 (2001).
[CrossRef]

W. Krolikowski, O. Bang, J. J. Rasmussen, and J. Wyller, Phys. Rev. E 64, 016612 (2001).
[CrossRef]

W. Krolikowski, E. A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, Phys. Rev. Lett. 85, 1424 (2000).
[CrossRef] [PubMed]

S. Lopez-Aguayo, A. S. Desyatnikov, Y. S. Kivshar, S. Skupin, W. Krolikowski, and O. Bang, arXiv.org e-Print archive, nlin.PS/0512053 December 20, 2005, http://arxiv.org/abs/nlin/0512053.

Lan, S.

Litvak, A. G.

A. G. Litvak, V. A. Mironov, G. M. Fraiman, and A. D. Yunakovskii, Sov. J. Plasma Phys. 1, 31 (1975).

Lopez-Aguayo, S.

S. Lopez-Aguayo, A. S. Desyatnikov, Y. S. Kivshar, S. Skupin, W. Krolikowski, and O. Bang, arXiv.org e-Print archive, nlin.PS/0512053 December 20, 2005, http://arxiv.org/abs/nlin/0512053.

Luther-Davies, B.

Mamaev, A. V.

A. V. Mamaev, A. A. Zozulya, V. K. Mezentsev, D. Z. Anderson, and M. Saffman, Phys. Rev. A 56, R1110 (1997).
[CrossRef]

Manela, O.

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

McCarthy, G.

Mezentsev, V. K.

A. V. Mamaev, A. A. Zozulya, V. K. Mezentsev, D. Z. Anderson, and M. Saffman, Phys. Rev. A 56, R1110 (1997).
[CrossRef]

Mironov, V. A.

V. A. Mironov, A. M. Sergeev, and E. M. Sher, Dokl. Akad. Nauk SSSR 260, 325 (1981) V. A. Mironov, A. M. Sergeev, and E. M. Sher[Sov. Phys. Dokl. 26, 861 (1981)].

I. A. Kolchugina, V. A. Mironov, and A. M. Sergeev, Pis'ma Zh. Eksp. Teor. Fiz. 31, 333 (1980) I. A. Kolchugina, V. A. Mironov, and A. M. Sergeev[JETP Lett. 31, 304 (1980)].

A. G. Litvak, V. A. Mironov, G. M. Fraiman, and A. D. Yunakovskii, Sov. J. Plasma Phys. 1, 31 (1975).

Mitchell, M.

M. Mitchell, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 80, 4657 (1998).
[CrossRef]

Musslimani, Z. H.

Neshev, D.

Neshev, D. N.

A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 043901 (2006).
[CrossRef] [PubMed]

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: Quantum Semiclassical Opt. 6, S288 (2004).
[CrossRef]

N. I. Nikolov, D. Neshev, W. Krolikowski, O. Bang, J. J. Rasmussen, and P. L. Christiansen, Opt. Lett. 29, 286 (2004).
[CrossRef] [PubMed]

Ostrovskaya, E.

Ostrovskaya, E. A.

A. S. Desyatnikov, D. Neshev, E. A. Ostrovskaya, Y. S. Kivshar, G. McCarthy, W. Krolikowski, and B. Luther-Davies, J. Opt. Soc. Am. B 19, 586 (2002).
[CrossRef]

D. Neshev, G. McCarthy, W. Krolikowski, E. A. Ostrovskaya, G. F. Calvo, F. Agullo-Lopez, and Y. S. Kivshar, Opt. Lett. 26, 1185 (2001).
[CrossRef]

J. J. Garcia-Ripoll, V. Perez-Garcia, E. A. Ostrovskaya, and Y. S. Kivshar, Phys. Rev. Lett. 85, 82 (2000).
[CrossRef] [PubMed]

W. Krolikowski, E. A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, Phys. Rev. Lett. 85, 1424 (2000).
[CrossRef] [PubMed]

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, Phys. Rev. Lett. 83, 296 (1999).
[CrossRef]

Peccianti, M.

Pelinovsky, D. E.

J. Yang and D. E. Pelinovsky, Phys. Rev. E 67, 016608 (2003).
[CrossRef]

Perez-Garcia, V.

Petersen, D. E.

A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 043901 (2006).
[CrossRef] [PubMed]

Rasmussen, J. J.

N. I. Nikolov, D. Neshev, W. Krolikowski, O. Bang, J. J. Rasmussen, and P. L. Christiansen, Opt. Lett. 29, 286 (2004).
[CrossRef] [PubMed]

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

J. Wyller, W. Krolikowski, O. Bang, and J. J. Rasmussen, Phys. Rev. E 66, 066615 (2002).
[CrossRef]

W. Krolikowski, O. Bang, J. J. Rasmussen, and J. Wyller, Phys. Rev. E 64, 016612 (2001).
[CrossRef]

Rotschild, C.

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

Saffman, M.

A. V. Mamaev, A. A. Zozulya, V. K. Mezentsev, D. Z. Anderson, and M. Saffman, Phys. Rev. A 56, R1110 (1997).
[CrossRef]

Segev, M.

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

T. Carmon, C. Anastassiou, S. Lan, D. Kip, Z. H. Musslimani, M. Segev, and D. N. Christodoulides, Opt. Lett. 25, 1113 (2000).
[CrossRef]

M. Mitchell, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 80, 4657 (1998).
[CrossRef]

Sergeev, A. M.

V. A. Mironov, A. M. Sergeev, and E. M. Sher, Dokl. Akad. Nauk SSSR 260, 325 (1981) V. A. Mironov, A. M. Sergeev, and E. M. Sher[Sov. Phys. Dokl. 26, 861 (1981)].

I. A. Kolchugina, V. A. Mironov, and A. M. Sergeev, Pis'ma Zh. Eksp. Teor. Fiz. 31, 333 (1980) I. A. Kolchugina, V. A. Mironov, and A. M. Sergeev[JETP Lett. 31, 304 (1980)].

Sher, E. M.

V. A. Mironov, A. M. Sergeev, and E. M. Sher, Dokl. Akad. Nauk SSSR 260, 325 (1981) V. A. Mironov, A. M. Sergeev, and E. M. Sher[Sov. Phys. Dokl. 26, 861 (1981)].

Skryabin, D. V.

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, Phys. Rev. Lett. 83, 296 (1999).
[CrossRef]

Skupin, S.

S. Lopez-Aguayo, A. S. Desyatnikov, Y. S. Kivshar, S. Skupin, W. Krolikowski, and O. Bang, arXiv.org e-Print archive, nlin.PS/0512053 December 20, 2005, http://arxiv.org/abs/nlin/0512053.

Torner, L.

Warenghem, M.

F. Derrien, J. F. Henninot, M. Warenghem, and G. Abbate, J. Opt. A: Pure Appl. Opt. 2, 332 (2000).
[CrossRef]

Weilnau, C.

W. Krolikowski, E. A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, Phys. Rev. Lett. 85, 1424 (2000).
[CrossRef] [PubMed]

Wyller, J.

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

J. Wyller, W. Krolikowski, O. Bang, and J. J. Rasmussen, Phys. Rev. E 66, 066615 (2002).
[CrossRef]

W. Krolikowski, O. Bang, J. J. Rasmussen, and J. Wyller, Phys. Rev. E 64, 016612 (2001).
[CrossRef]

Xu, Z.

Yang, J.

J. Yang and D. E. Pelinovsky, Phys. Rev. E 67, 016608 (2003).
[CrossRef]

Yunakovskii, A. D.

A. G. Litvak, V. A. Mironov, G. M. Fraiman, and A. D. Yunakovskii, Sov. J. Plasma Phys. 1, 31 (1975).

Zozulya, A. A.

A. V. Mamaev, A. A. Zozulya, V. K. Mezentsev, D. Z. Anderson, and M. Saffman, Phys. Rev. A 56, R1110 (1997).
[CrossRef]

Dokl. Akad. Nauk SSSR (1)

V. A. Mironov, A. M. Sergeev, and E. M. Sher, Dokl. Akad. Nauk SSSR 260, 325 (1981) V. A. Mironov, A. M. Sergeev, and E. M. Sher[Sov. Phys. Dokl. 26, 861 (1981)].

J. Opt. A: Pure Appl. Opt. (1)

F. Derrien, J. F. Henninot, M. Warenghem, and G. Abbate, J. Opt. A: Pure Appl. Opt. 2, 332 (2000).
[CrossRef]

J. Opt. B: Quantum Semiclassical Opt. (1)

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

J. Opt. Soc. Am. B (1)

Opt. Commun. (1)

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

Opt. Lett. (7)

Phys. Rev. A (1)

A. V. Mamaev, A. A. Zozulya, V. K. Mezentsev, D. Z. Anderson, and M. Saffman, Phys. Rev. A 56, R1110 (1997).
[CrossRef]

Phys. Rev. E (3)

W. Krolikowski, O. Bang, J. J. Rasmussen, and J. Wyller, Phys. Rev. E 64, 016612 (2001).
[CrossRef]

J. Wyller, W. Krolikowski, O. Bang, and J. J. Rasmussen, Phys. Rev. E 66, 066615 (2002).
[CrossRef]

J. Yang and D. E. Pelinovsky, Phys. Rev. E 67, 016608 (2003).
[CrossRef]

Phys. Rev. Lett. (6)

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

A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 043901 (2006).
[CrossRef] [PubMed]

M. Mitchell, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 80, 4657 (1998).
[CrossRef]

E. A. Ostrovskaya, Y. S. Kivshar, D. V. Skryabin, and W. J. Firth, Phys. Rev. Lett. 83, 296 (1999).
[CrossRef]

J. J. Garcia-Ripoll, V. Perez-Garcia, E. A. Ostrovskaya, and Y. S. Kivshar, Phys. Rev. Lett. 85, 82 (2000).
[CrossRef] [PubMed]

W. Krolikowski, E. A. Ostrovskaya, C. Weilnau, M. Geisser, G. McCarthy, Y. S. Kivshar, C. Denz, and B. Luther-Davies, Phys. Rev. Lett. 85, 1424 (2000).
[CrossRef] [PubMed]

Pis'ma Zh. Eksp. Teor. Fiz. (1)

I. A. Kolchugina, V. A. Mironov, and A. M. Sergeev, Pis'ma Zh. Eksp. Teor. Fiz. 31, 333 (1980) I. A. Kolchugina, V. A. Mironov, and A. M. Sergeev[JETP Lett. 31, 304 (1980)].

Sov. J. Plasma Phys. (1)

A. G. Litvak, V. A. Mironov, G. M. Fraiman, and A. D. Yunakovskii, Sov. J. Plasma Phys. 1, 31 (1975).

Other (1)

S. Lopez-Aguayo, A. S. Desyatnikov, Y. S. Kivshar, S. Skupin, W. Krolikowski, and O. Bang, arXiv.org e-Print archive, nlin.PS/0512053 December 20, 2005, http://arxiv.org/abs/nlin/0512053.

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 (3)

Fig. 1
Fig. 1

Total refractive index profile (top row) and field modulus distribution in the second component (bottom) for (a) dipole soliton at b 1 = 3 , b 2 = 1.8 , and d = 3 , (b) quadrupole soliton at b 1 = 3 , b 2 = 0.9 , and d = 4 , (c) hexapole soliton at b 1 = 3 , b 2 = 0.4 , and d = 5 .

Fig. 2
Fig. 2

(a) Energy flow of dipole soliton versus propagation constant b 2 at d = 1 (line 1) and 0.2 (line 2). (b) Domain of existence of dipole solitons on the plane ( d , b 2 ) . (c) Critical propagation constant versus nonlocality degree for dipole solitons. (d) Energy sharing between components of dipole soliton versus propagation constant b 2 . (e) Domain of existence of quadrupole solitons on the plane ( d , b 2 ) . (f) Critical propagation constant versus nonlocality degree for quadrupole solitons. In all cases b 1 = 3 .

Fig. 3
Fig. 3

Propagation dynamics of vector solitons in the presence of white input noise with variance σ noise 2 = 0.01 . (a) Dipole soliton at b 1 = 3 , b 2 = 1.8 , and d = 3 . (b) Quadrupole soliton at b 1 = 3 , b 2 = 0.9 , and d = 4 . (c) Hexapole soliton at b 1 = 3 , b 2 = 0.4 , and d = 5 . Field modulus distributions in second components are shown.

Equations (2)

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

i q 1 , 2 ξ = 1 2 ( 2 η 2 + 2 ζ 2 ) q 1 , 2 q 1 , 2 n ,
n d ( 2 η 2 + 2 ζ 2 ) n = q 1 2 + q 2 2 ,

Metrics