Abstract

We investigate spatial solitons in nonlocal media with a nonlinear index well modeled by a diffusive equation. We address the role of nonlocality and its interplay with boundary conditions, shedding light on the behavior of accessible solitons in real samples and discussing the accuracy of the highly nonlocal approximation. We find that symmetric solitons exist only above a power threshold, with an existence region that grows larger and larger with nonlocality in the plane width power.

© 2014 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. Snyder and D. Mitchell, Science 276, 1538 (1997).
    [CrossRef]
  2. R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
    [CrossRef]
  3. C. S. Gardner, J. M. Greene, M. D. Kruskal, and R. M. Miura, Phys. Rev. Lett. 19, 1095 (1967).
    [CrossRef]
  4. Y. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic, 2003).
  5. Q. Guo, B. Luo, F. Yi, S. Chi, and Y. Xie, Phys. Rev. E 69, 016602 (2004).
    [CrossRef]
  6. D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 98, 053901 (2007).
    [CrossRef]
  7. O. Bang, W. Krolikowski, J. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
    [CrossRef]
  8. J. E. Bjorkholm and A. A. Ashkin, Phys. Rev. Lett. 32, 129 (1974).
    [CrossRef]
  9. G. Vitrant, R. Reinisch, J. C. Paumier, G. Assanto, and G. I. Stegeman, Opt. Lett. 14, 898 (1989).
    [CrossRef]
  10. D. Suter and T. Blasberg, Phys. Rev. A 48, 4583 (1993).
    [CrossRef]
  11. C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
    [CrossRef]
  12. C. Conti, G. Ruocco, and S. Trillo, Phys. Rev. Lett. 95, 183902 (2005).
    [CrossRef]
  13. C. Rothschild, B. Alfassi, O. Cohen, and M. Segev, Nat. Phys. 2, 769 (2006).
    [CrossRef]
  14. S. Skupin, O. Bang, E. Edmundson, and W. Królikowski, Phys. Rev. E 73, 066603 (2006).
    [CrossRef]
  15. S. Skupin, M. Saffman, and W. Królikowski, Phys. Rev. Lett. 98, 263902 (2007).
    [CrossRef]
  16. Y. Lamhot, A. Barak, O. Peleg, and M. Segev, Phys. Rev. Lett. 105, 163906 (2010).
    [CrossRef]
  17. M. Peccianti and G. Assanto, Phys. Rep. 516, 147 (2012).
    [CrossRef]
  18. A. Butsch, C. Conti, F. Biancalana, and P. S. J. Russell, Phys. Rev. Lett. 108, 093903 (2012).
    [CrossRef]
  19. W. Man, S. Fardad, Z. Zhang, J. Prakash, M. Lau, P. Zhang, M. Heinrich, D. N. Christodoulides, and Z. Chen, Phys. Rev. Lett. 111, 218302 (2013).
    [CrossRef]
  20. S. Ouyang, Q. Guo, and W. Hu, Phys. Rev. E 74, 036622 (2006).
    [CrossRef]
  21. S. Ouyang and Q. Guo, Phys. Rev. A 76, 053833 (2007).
    [CrossRef]
  22. A. Alberucci and G. Assanto, J. Opt. Soc. Am. B 24, 2314 (2007).
    [CrossRef]
  23. F. Ye, Y. V. Kartashov, B. Hu, and L. Torner, Opt. Lett. 34, 2658 (2009).
    [CrossRef]
  24. A. A. Minzoni, L. W. Sciberras, N. F. Smyth, and A. L. Worthy, Phys. Rev. A 84, 043823 (2011).
    [CrossRef]
  25. C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
    [CrossRef]
  26. G. Assanto, A. A. Minzoni, and N. F. Smyth, J. Nonlinear Opt. Phys. Mater. 18, 657 (2009).
    [CrossRef]
  27. B. Alfassi, C. Rotschild, O. Manela, M. Segev, and D. N. Christodoulides, Phys. Rev. Lett. 98, 213901 (2007).
    [CrossRef]
  28. P. Panayotaros and T. Marchant, Physica D 268, 106 (2014).
    [CrossRef]
  29. Y. V. Izdebskaya, A. S. Desyatnikov, G. Assanto, and Y. S. Kivshar, Opt. Express 19, 21457 (2011).
    [CrossRef]

2014 (1)

P. Panayotaros and T. Marchant, Physica D 268, 106 (2014).
[CrossRef]

2013 (1)

W. Man, S. Fardad, Z. Zhang, J. Prakash, M. Lau, P. Zhang, M. Heinrich, D. N. Christodoulides, and Z. Chen, Phys. Rev. Lett. 111, 218302 (2013).
[CrossRef]

2012 (2)

M. Peccianti and G. Assanto, Phys. Rep. 516, 147 (2012).
[CrossRef]

A. Butsch, C. Conti, F. Biancalana, and P. S. J. Russell, Phys. Rev. Lett. 108, 093903 (2012).
[CrossRef]

2011 (2)

A. A. Minzoni, L. W. Sciberras, N. F. Smyth, and A. L. Worthy, Phys. Rev. A 84, 043823 (2011).
[CrossRef]

Y. V. Izdebskaya, A. S. Desyatnikov, G. Assanto, and Y. S. Kivshar, Opt. Express 19, 21457 (2011).
[CrossRef]

2010 (1)

Y. Lamhot, A. Barak, O. Peleg, and M. Segev, Phys. Rev. Lett. 105, 163906 (2010).
[CrossRef]

2009 (2)

F. Ye, Y. V. Kartashov, B. Hu, and L. Torner, Opt. Lett. 34, 2658 (2009).
[CrossRef]

G. Assanto, A. A. Minzoni, and N. F. Smyth, J. Nonlinear Opt. Phys. Mater. 18, 657 (2009).
[CrossRef]

2007 (5)

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

S. Ouyang and Q. Guo, Phys. Rev. A 76, 053833 (2007).
[CrossRef]

A. Alberucci and G. Assanto, J. Opt. Soc. Am. B 24, 2314 (2007).
[CrossRef]

S. Skupin, M. Saffman, and W. Królikowski, Phys. Rev. Lett. 98, 263902 (2007).
[CrossRef]

D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 98, 053901 (2007).
[CrossRef]

2006 (3)

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

S. Skupin, O. Bang, E. Edmundson, and W. Królikowski, Phys. Rev. E 73, 066603 (2006).
[CrossRef]

S. Ouyang, Q. Guo, and W. Hu, Phys. Rev. E 74, 036622 (2006).
[CrossRef]

2005 (1)

C. Conti, G. Ruocco, and S. Trillo, Phys. Rev. Lett. 95, 183902 (2005).
[CrossRef]

2004 (2)

Q. Guo, B. Luo, F. Yi, S. Chi, and Y. Xie, Phys. Rev. E 69, 016602 (2004).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef]

2003 (1)

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef]

2002 (1)

O. Bang, W. Krolikowski, J. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
[CrossRef]

1997 (1)

A. Snyder and D. Mitchell, Science 276, 1538 (1997).
[CrossRef]

1993 (1)

D. Suter and T. Blasberg, Phys. Rev. A 48, 4583 (1993).
[CrossRef]

1989 (1)

1974 (1)

J. E. Bjorkholm and A. A. Ashkin, Phys. Rev. Lett. 32, 129 (1974).
[CrossRef]

1967 (1)

C. S. Gardner, J. M. Greene, M. D. Kruskal, and R. M. Miura, Phys. Rev. Lett. 19, 1095 (1967).
[CrossRef]

1964 (1)

R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[CrossRef]

Agrawal, G. P.

Y. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic, 2003).

Alberucci, A.

Alfassi, B.

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

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

Ashkin, A. A.

J. E. Bjorkholm and A. A. Ashkin, Phys. Rev. Lett. 32, 129 (1974).
[CrossRef]

Assanto, G.

M. Peccianti and G. Assanto, Phys. Rep. 516, 147 (2012).
[CrossRef]

Y. V. Izdebskaya, A. S. Desyatnikov, G. Assanto, and Y. S. Kivshar, Opt. Express 19, 21457 (2011).
[CrossRef]

G. Assanto, A. A. Minzoni, and N. F. Smyth, J. Nonlinear Opt. Phys. Mater. 18, 657 (2009).
[CrossRef]

A. Alberucci and G. Assanto, J. Opt. Soc. Am. B 24, 2314 (2007).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef]

G. Vitrant, R. Reinisch, J. C. Paumier, G. Assanto, and G. I. Stegeman, Opt. Lett. 14, 898 (1989).
[CrossRef]

Bang, O.

S. Skupin, O. Bang, E. Edmundson, and W. Królikowski, Phys. Rev. E 73, 066603 (2006).
[CrossRef]

O. Bang, W. Krolikowski, J. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
[CrossRef]

Barak, A.

Y. Lamhot, A. Barak, O. Peleg, and M. Segev, Phys. Rev. Lett. 105, 163906 (2010).
[CrossRef]

Biancalana, F.

A. Butsch, C. Conti, F. Biancalana, and P. S. J. Russell, Phys. Rev. Lett. 108, 093903 (2012).
[CrossRef]

Bjorkholm, J. E.

J. E. Bjorkholm and A. A. Ashkin, Phys. Rev. Lett. 32, 129 (1974).
[CrossRef]

Blasberg, T.

D. Suter and T. Blasberg, Phys. Rev. A 48, 4583 (1993).
[CrossRef]

Buccoliero, D.

D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 98, 053901 (2007).
[CrossRef]

Butsch, A.

A. Butsch, C. Conti, F. Biancalana, and P. S. J. Russell, Phys. Rev. Lett. 108, 093903 (2012).
[CrossRef]

Chen, Z.

W. Man, S. Fardad, Z. Zhang, J. Prakash, M. Lau, P. Zhang, M. Heinrich, D. N. Christodoulides, and Z. Chen, Phys. Rev. Lett. 111, 218302 (2013).
[CrossRef]

Chi, S.

Q. Guo, B. Luo, F. Yi, S. Chi, and Y. Xie, Phys. Rev. E 69, 016602 (2004).
[CrossRef]

Chiao, R. Y.

R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[CrossRef]

Christodoulides, D. N.

W. Man, S. Fardad, Z. Zhang, J. Prakash, M. Lau, P. Zhang, M. Heinrich, D. N. Christodoulides, and Z. Chen, Phys. Rev. Lett. 111, 218302 (2013).
[CrossRef]

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

Cohen, O.

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

Conti, C.

A. Butsch, C. Conti, F. Biancalana, and P. S. J. Russell, Phys. Rev. Lett. 108, 093903 (2012).
[CrossRef]

C. Conti, G. Ruocco, and S. Trillo, Phys. Rev. Lett. 95, 183902 (2005).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef]

Desyatnikov, A. S.

Y. V. Izdebskaya, A. S. Desyatnikov, G. Assanto, and Y. S. Kivshar, Opt. Express 19, 21457 (2011).
[CrossRef]

D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 98, 053901 (2007).
[CrossRef]

Edmundson, E.

S. Skupin, O. Bang, E. Edmundson, and W. Królikowski, Phys. Rev. E 73, 066603 (2006).
[CrossRef]

Fardad, S.

W. Man, S. Fardad, Z. Zhang, J. Prakash, M. Lau, P. Zhang, M. Heinrich, D. N. Christodoulides, and Z. Chen, Phys. Rev. Lett. 111, 218302 (2013).
[CrossRef]

Gardner, C. S.

C. S. Gardner, J. M. Greene, M. D. Kruskal, and R. M. Miura, Phys. Rev. Lett. 19, 1095 (1967).
[CrossRef]

Garmire, E.

R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[CrossRef]

Greene, J. M.

C. S. Gardner, J. M. Greene, M. D. Kruskal, and R. M. Miura, Phys. Rev. Lett. 19, 1095 (1967).
[CrossRef]

Guo, Q.

S. Ouyang and Q. Guo, Phys. Rev. A 76, 053833 (2007).
[CrossRef]

S. Ouyang, Q. Guo, and W. Hu, Phys. Rev. E 74, 036622 (2006).
[CrossRef]

Q. Guo, B. Luo, F. Yi, S. Chi, and Y. Xie, Phys. Rev. E 69, 016602 (2004).
[CrossRef]

Heinrich, M.

W. Man, S. Fardad, Z. Zhang, J. Prakash, M. Lau, P. Zhang, M. Heinrich, D. N. Christodoulides, and Z. Chen, Phys. Rev. Lett. 111, 218302 (2013).
[CrossRef]

Hu, B.

Hu, W.

S. Ouyang, Q. Guo, and W. Hu, Phys. Rev. E 74, 036622 (2006).
[CrossRef]

Izdebskaya, Y. V.

Kartashov, Y. V.

Kivshar, Y. S.

Y. V. Izdebskaya, A. S. Desyatnikov, G. Assanto, and Y. S. Kivshar, Opt. Express 19, 21457 (2011).
[CrossRef]

D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 98, 053901 (2007).
[CrossRef]

Y. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic, 2003).

Krolikowski, W.

D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 98, 053901 (2007).
[CrossRef]

O. Bang, W. Krolikowski, J. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
[CrossRef]

Królikowski, W.

S. Skupin, M. Saffman, and W. Królikowski, Phys. Rev. Lett. 98, 263902 (2007).
[CrossRef]

S. Skupin, O. Bang, E. Edmundson, and W. Królikowski, Phys. Rev. E 73, 066603 (2006).
[CrossRef]

Kruskal, M. D.

C. S. Gardner, J. M. Greene, M. D. Kruskal, and R. M. Miura, Phys. Rev. Lett. 19, 1095 (1967).
[CrossRef]

Lamhot, Y.

Y. Lamhot, A. Barak, O. Peleg, and M. Segev, Phys. Rev. Lett. 105, 163906 (2010).
[CrossRef]

Lau, M.

W. Man, S. Fardad, Z. Zhang, J. Prakash, M. Lau, P. Zhang, M. Heinrich, D. N. Christodoulides, and Z. Chen, Phys. Rev. Lett. 111, 218302 (2013).
[CrossRef]

Luo, B.

Q. Guo, B. Luo, F. Yi, S. Chi, and Y. Xie, Phys. Rev. E 69, 016602 (2004).
[CrossRef]

Man, W.

W. Man, S. Fardad, Z. Zhang, J. Prakash, M. Lau, P. Zhang, M. Heinrich, D. N. Christodoulides, and Z. Chen, Phys. Rev. Lett. 111, 218302 (2013).
[CrossRef]

Manela, O.

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

Marchant, T.

P. Panayotaros and T. Marchant, Physica D 268, 106 (2014).
[CrossRef]

Minzoni, A. A.

A. A. Minzoni, L. W. Sciberras, N. F. Smyth, and A. L. Worthy, Phys. Rev. A 84, 043823 (2011).
[CrossRef]

G. Assanto, A. A. Minzoni, and N. F. Smyth, J. Nonlinear Opt. Phys. Mater. 18, 657 (2009).
[CrossRef]

Mitchell, D.

A. Snyder and D. Mitchell, Science 276, 1538 (1997).
[CrossRef]

Miura, R. M.

C. S. Gardner, J. M. Greene, M. D. Kruskal, and R. M. Miura, Phys. Rev. Lett. 19, 1095 (1967).
[CrossRef]

Ouyang, S.

S. Ouyang and Q. Guo, Phys. Rev. A 76, 053833 (2007).
[CrossRef]

S. Ouyang, Q. Guo, and W. Hu, Phys. Rev. E 74, 036622 (2006).
[CrossRef]

Panayotaros, P.

P. Panayotaros and T. Marchant, Physica D 268, 106 (2014).
[CrossRef]

Paumier, J. C.

Peccianti, M.

M. Peccianti and G. Assanto, Phys. Rep. 516, 147 (2012).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef]

Peleg, O.

Y. Lamhot, A. Barak, O. Peleg, and M. Segev, Phys. Rev. Lett. 105, 163906 (2010).
[CrossRef]

Prakash, J.

W. Man, S. Fardad, Z. Zhang, J. Prakash, M. Lau, P. Zhang, M. Heinrich, D. N. Christodoulides, and Z. Chen, Phys. Rev. Lett. 111, 218302 (2013).
[CrossRef]

Rasmussen, J. J.

O. Bang, W. Krolikowski, J. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
[CrossRef]

Reinisch, R.

Rothschild, C.

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

Rotschild, C.

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

Ruocco, G.

C. Conti, G. Ruocco, and S. Trillo, Phys. Rev. Lett. 95, 183902 (2005).
[CrossRef]

Russell, P. S. J.

A. Butsch, C. Conti, F. Biancalana, and P. S. J. Russell, Phys. Rev. Lett. 108, 093903 (2012).
[CrossRef]

Saffman, M.

S. Skupin, M. Saffman, and W. Królikowski, Phys. Rev. Lett. 98, 263902 (2007).
[CrossRef]

Sciberras, L. W.

A. A. Minzoni, L. W. Sciberras, N. F. Smyth, and A. L. Worthy, Phys. Rev. A 84, 043823 (2011).
[CrossRef]

Segev, M.

Y. Lamhot, A. Barak, O. Peleg, and M. Segev, Phys. Rev. Lett. 105, 163906 (2010).
[CrossRef]

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

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

Skupin, S.

S. Skupin, M. Saffman, and W. Królikowski, Phys. Rev. Lett. 98, 263902 (2007).
[CrossRef]

S. Skupin, O. Bang, E. Edmundson, and W. Królikowski, Phys. Rev. E 73, 066603 (2006).
[CrossRef]

Smyth, N. F.

A. A. Minzoni, L. W. Sciberras, N. F. Smyth, and A. L. Worthy, Phys. Rev. A 84, 043823 (2011).
[CrossRef]

G. Assanto, A. A. Minzoni, and N. F. Smyth, J. Nonlinear Opt. Phys. Mater. 18, 657 (2009).
[CrossRef]

Snyder, A.

A. Snyder and D. Mitchell, Science 276, 1538 (1997).
[CrossRef]

Stegeman, G. I.

Suter, D.

D. Suter and T. Blasberg, Phys. Rev. A 48, 4583 (1993).
[CrossRef]

Torner, L.

Townes, C. H.

R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[CrossRef]

Trillo, S.

C. Conti, G. Ruocco, and S. Trillo, Phys. Rev. Lett. 95, 183902 (2005).
[CrossRef]

Vitrant, G.

Worthy, A. L.

A. A. Minzoni, L. W. Sciberras, N. F. Smyth, and A. L. Worthy, Phys. Rev. A 84, 043823 (2011).
[CrossRef]

Wyller, J.

O. Bang, W. Krolikowski, J. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
[CrossRef]

Xie, Y.

Q. Guo, B. Luo, F. Yi, S. Chi, and Y. Xie, Phys. Rev. E 69, 016602 (2004).
[CrossRef]

Ye, F.

Yi, F.

Q. Guo, B. Luo, F. Yi, S. Chi, and Y. Xie, Phys. Rev. E 69, 016602 (2004).
[CrossRef]

Zhang, P.

W. Man, S. Fardad, Z. Zhang, J. Prakash, M. Lau, P. Zhang, M. Heinrich, D. N. Christodoulides, and Z. Chen, Phys. Rev. Lett. 111, 218302 (2013).
[CrossRef]

Zhang, Z.

W. Man, S. Fardad, Z. Zhang, J. Prakash, M. Lau, P. Zhang, M. Heinrich, D. N. Christodoulides, and Z. Chen, Phys. Rev. Lett. 111, 218302 (2013).
[CrossRef]

J. Nonlinear Opt. Phys. Mater. (1)

G. Assanto, A. A. Minzoni, and N. F. Smyth, J. Nonlinear Opt. Phys. Mater. 18, 657 (2009).
[CrossRef]

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

Nat. Phys. (1)

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

Opt. Express (1)

Opt. Lett. (2)

Phys. Rep. (1)

M. Peccianti and G. Assanto, Phys. Rep. 516, 147 (2012).
[CrossRef]

Phys. Rev. A (3)

D. Suter and T. Blasberg, Phys. Rev. A 48, 4583 (1993).
[CrossRef]

A. A. Minzoni, L. W. Sciberras, N. F. Smyth, and A. L. Worthy, Phys. Rev. A 84, 043823 (2011).
[CrossRef]

S. Ouyang and Q. Guo, Phys. Rev. A 76, 053833 (2007).
[CrossRef]

Phys. Rev. E (4)

S. Ouyang, Q. Guo, and W. Hu, Phys. Rev. E 74, 036622 (2006).
[CrossRef]

Q. Guo, B. Luo, F. Yi, S. Chi, and Y. Xie, Phys. Rev. E 69, 016602 (2004).
[CrossRef]

O. Bang, W. Krolikowski, J. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
[CrossRef]

S. Skupin, O. Bang, E. Edmundson, and W. Królikowski, Phys. Rev. E 73, 066603 (2006).
[CrossRef]

Phys. Rev. Lett. (12)

S. Skupin, M. Saffman, and W. Królikowski, Phys. Rev. Lett. 98, 263902 (2007).
[CrossRef]

Y. Lamhot, A. Barak, O. Peleg, and M. Segev, Phys. Rev. Lett. 105, 163906 (2010).
[CrossRef]

J. E. Bjorkholm and A. A. Ashkin, Phys. Rev. Lett. 32, 129 (1974).
[CrossRef]

A. Butsch, C. Conti, F. Biancalana, and P. S. J. Russell, Phys. Rev. Lett. 108, 093903 (2012).
[CrossRef]

W. Man, S. Fardad, Z. Zhang, J. Prakash, M. Lau, P. Zhang, M. Heinrich, D. N. Christodoulides, and Z. Chen, Phys. Rev. Lett. 111, 218302 (2013).
[CrossRef]

D. Buccoliero, A. S. Desyatnikov, W. Krolikowski, and Y. S. Kivshar, Phys. Rev. Lett. 98, 053901 (2007).
[CrossRef]

R. Y. Chiao, E. Garmire, and C. H. Townes, Phys. Rev. Lett. 13, 479 (1964).
[CrossRef]

C. S. Gardner, J. M. Greene, M. D. Kruskal, and R. M. Miura, Phys. Rev. Lett. 19, 1095 (1967).
[CrossRef]

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
[CrossRef]

C. Conti, G. Ruocco, and S. Trillo, Phys. Rev. Lett. 95, 183902 (2005).
[CrossRef]

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

C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 92, 113902 (2004).
[CrossRef]

Physica D (1)

P. Panayotaros and T. Marchant, Physica D 268, 106 (2014).
[CrossRef]

Science (1)

A. Snyder and D. Mitchell, Science 276, 1538 (1997).
[CrossRef]

Other (1)

Y. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic, 2003).

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 (6)

Fig. 1.
Fig. 1.

(a) Radial profile of the peak normalized soliton intensity and (b) corresponding nonlinear index well ψ for P=3 (blue), 10 (green), and 20 (red), from wider to narrower solitons in (a) and from lower to upper curves in (b), respectively. Solid lines, dashes, and lines with triangles correspond to actual profile, prediction of SM model, and best fit with a Gaussian, respectively. Here, R0=k0r0=50.

Fig. 2.
Fig. 2.

(a) Soliton width and (b) peak of the corresponding well ψ0 versus normalized power P. Solid lines, dashes, and lines with triangles correspond to actual profile, prediction of SM model, and best fit with a Gaussian, respectively. Here, R0=50.

Fig. 3.
Fig. 3.

(a) Exact soliton width and (b) effective index N versus P for R0=3 (blue square), 5 (red circle), 10 (cyan triangle), and 50 (magenta cross). Black curve in (a) and dashed lines in (b) are predicted by the accessible soliton model for W and N (N=1+1+ψ02ψ2) when Eqs. (7) and (8) are used.

Fig. 4.
Fig. 4.

(a) Soliton width versus normalized power and (b) ratio of transition radius and soliton width versus normalized power for L=1, 3, and 40. The results are calculated from Eqs. (9) and (10) with R0=50. Black triangles are prediction from the SM model for l.

Fig. 5.
Fig. 5.

(a) Soliton width and (b) soliton effective index N versus normalized power for L=1, 1.5, 5, and 20. R0=50.

Fig. 6.
Fig. 6.

Soliton stability. (a) Input and (c) output intensity profiles for L=1, P=154 (solid blue line) and P=200 (dotted red line); (b) input and (d) output intensities for L=20, P=7 (solid blue line) and P=200 (dotted red line). The output is at Z=62 in normalized units, corresponding to 484 Rayleigh distances for the narrowest beam. (e) Beam width versus Z for the cases (a)–(d). (f) Breather evolution for α=1.01. Here, R0=50.

Equations (10)

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

t2uβ(2k0n0+β)u+k02Δn2u=0,
t2Δn2(πl)2Δn2+n2|u|2=0,
ψ2=n2I0+(πl)2ψ04,
PW2=n2Pw2k02=8π.
rT=w2.
ψ0=P4π[12log(4πR0P)],
PW2=16π,
ψ0=P4π[12log(2WR0)].
ψ0=P2πK0(πrTl)+n2I0rT241+14(πrTl)2,
ψ2=P4lrTK1(πrTl).

Metrics