Abstract

We report what we believe to be the first experimental observation of a large spatial lateral shift in the interaction of obliquely oriented spatial dark-soliton stripes. We demonstrate by numerical simulations that this new effect can be attributed to the specific features of optical media with a nonlocal nonlinear response.

© 2006 Optical Society of America

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  1. Yu. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic, 2003).
  2. W. Krolikowski, O. Bang, N. Nikolov, D. Neshev, J. Wyller, J. K. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
    [CrossRef]
  3. C. Conti, G. Ruocco, and S. Trillo, Phys. Rev. Lett. 95, 183902 (2005).
    [CrossRef] [PubMed]
  4. A. G. Litvak, JETP Lett. 4, 230 (1966).
  5. C. Rotschild, O. Cohen, O. Manela, M. Segev, and T. Carmon, Phys. Rev. Lett. 95, 213904 (2005).
    [CrossRef] [PubMed]
  6. A. C. Tamm and W. Happer, Phys. Rev. Lett. 38, 278 (1977).
    [CrossRef]
  7. D. Suter and T. Blasberg, Phys. Rev. A 48, 4583 (1993).
    [CrossRef] [PubMed]
  8. E. A. Ultanir, G. I. Stegeman, C. H. Lange, and F. Lederer, Opt. Lett. 29, 283 (2004).
    [CrossRef] [PubMed]
  9. C. Conti, M. Peccianti, and G. Assanto, Phys. Rev. Lett. 91, 073901 (2003).
    [CrossRef] [PubMed]
  10. W. Krolikowski and O. Bang, Phys. Rev. E 63, 016610 (2000).
    [CrossRef]
  11. J. Wyller, W. Krolikowski, O. Bang, and J. J. Rasmussen, Phys. Rev. E 66, 066615 (2002).
    [CrossRef]
  12. O. Bang, W. Krolikowski, J. Wyller, and J. J. Rasmussen, Phys. Rev. E 66, 046619 (2002).
    [CrossRef]
  13. M. Peccianti, K. A. Brzdakiewicz, and G. Assanto, Opt. Lett. 27, 1460 (2003).
    [CrossRef]
  14. Z. Xu, Y. Kartashov, and L. Toner, Opt. Lett. 30, 3171 (2005).
    [CrossRef] [PubMed]
  15. N. Nikolov, D. Neshev, W. Krolikowski, O. Bang, J. J. Rasmussen, and P. L. Christiansen, Opt. Lett. 29, 286 (2004).
    [CrossRef] [PubMed]
  16. A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 43901 (2006).
    [CrossRef]
  17. G. A. Swartzlander, Jr., D. R. Andersen, J. J. Regan, H. Yin, and A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
    [CrossRef] [PubMed]
  18. D. R. Andersen, D. E. Hooton, G. A. Swartzlander, Jr., and A. E. Kaplan, Opt. Lett. 15, 783 (1990).
    [CrossRef] [PubMed]
  19. A. I. Yakimenko, Yu. A. Zaliznyak, and Yu. S. Kivshar, Phys. Rev. E 71, 065603 (2005).
    [CrossRef]
  20. G. Huang and M. G. Velarde, J. Opt. Soc. Am. B 14, 2850 (1997).
    [CrossRef]

2006 (1)

A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 43901 (2006).
[CrossRef]

2005 (4)

A. I. Yakimenko, Yu. A. Zaliznyak, and Yu. S. Kivshar, Phys. Rev. E 71, 065603 (2005).
[CrossRef]

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

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

Z. Xu, Y. Kartashov, and L. Toner, Opt. Lett. 30, 3171 (2005).
[CrossRef] [PubMed]

2004 (3)

2003 (2)

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

M. Peccianti, K. A. Brzdakiewicz, and G. Assanto, Opt. Lett. 27, 1460 (2003).
[CrossRef]

2002 (2)

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

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

2000 (1)

W. Krolikowski and O. Bang, Phys. Rev. E 63, 016610 (2000).
[CrossRef]

1997 (1)

1993 (1)

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

1991 (1)

G. A. Swartzlander, Jr., D. R. Andersen, J. J. Regan, H. Yin, and A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

1990 (1)

1977 (1)

A. C. Tamm and W. Happer, Phys. Rev. Lett. 38, 278 (1977).
[CrossRef]

1966 (1)

A. G. Litvak, JETP Lett. 4, 230 (1966).

Agrawal, G. P.

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

Andersen, D. R.

G. A. Swartzlander, Jr., D. R. Andersen, J. J. Regan, H. Yin, and A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

D. R. Andersen, D. E. Hooton, G. A. Swartzlander, Jr., and A. E. Kaplan, Opt. Lett. 15, 783 (1990).
[CrossRef] [PubMed]

Assanto, G.

M. Peccianti, K. A. Brzdakiewicz, and G. Assanto, Opt. Lett. 27, 1460 (2003).
[CrossRef]

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

Bang, O.

A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 43901 (2006).
[CrossRef]

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

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

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

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

W. Krolikowski and O. Bang, Phys. Rev. E 63, 016610 (2000).
[CrossRef]

Blasberg, T.

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

Brzdakiewicz, K. A.

Carmon, T.

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

Christiansen, P. L.

Cohen, O.

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

Conti, C.

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

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

Dreischuh, A.

A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 43901 (2006).
[CrossRef]

Edmundson, D.

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

Happer, W.

A. C. Tamm and W. Happer, Phys. Rev. Lett. 38, 278 (1977).
[CrossRef]

Hooton, D. E.

Huang, G.

Kaplan, A. E.

G. A. Swartzlander, Jr., D. R. Andersen, J. J. Regan, H. Yin, and A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

D. R. Andersen, D. E. Hooton, G. A. Swartzlander, Jr., and A. E. Kaplan, Opt. Lett. 15, 783 (1990).
[CrossRef] [PubMed]

Kartashov, Y.

Kivshar, Yu. S.

A. I. Yakimenko, Yu. A. Zaliznyak, and Yu. S. Kivshar, Phys. Rev. E 71, 065603 (2005).
[CrossRef]

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

Krolikowski, W.

A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 43901 (2006).
[CrossRef]

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

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

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

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

W. Krolikowski and O. Bang, Phys. Rev. E 63, 016610 (2000).
[CrossRef]

Lange, C. H.

Lederer, F.

Litvak, A. G.

A. G. Litvak, JETP Lett. 4, 230 (1966).

Manela, O.

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

Neshev, D.

N. 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. Nikolov, D. Neshev, J. Wyller, J. K. Rasmussen, and D. Edmundson, J. Opt. B 6, S288 (2004).
[CrossRef]

Neshev, D. N.

A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 43901 (2006).
[CrossRef]

Nikolov, N.

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

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

Peccianti, M.

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

M. Peccianti, K. A. Brzdakiewicz, and G. Assanto, Opt. Lett. 27, 1460 (2003).
[CrossRef]

Petersen, D. E.

A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 43901 (2006).
[CrossRef]

Rasmussen, J. J.

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

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

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

Rasmussen, J. K.

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

Regan, J. J.

G. A. Swartzlander, Jr., D. R. Andersen, J. J. Regan, H. Yin, and A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

Rotschild, C.

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

Ruocco, G.

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

Segev, M.

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

Stegeman, G. I.

Suter, D.

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

Swartzlander, G. A.

G. A. Swartzlander, Jr., D. R. Andersen, J. J. Regan, H. Yin, and A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

D. R. Andersen, D. E. Hooton, G. A. Swartzlander, Jr., and A. E. Kaplan, Opt. Lett. 15, 783 (1990).
[CrossRef] [PubMed]

Tamm, A. C.

A. C. Tamm and W. Happer, Phys. Rev. Lett. 38, 278 (1977).
[CrossRef]

Toner, L.

Trillo, S.

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

Ultanir, E. A.

Velarde, M. G.

Wyller, J.

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

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

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

Xu, Z.

Yakimenko, A. I.

A. I. Yakimenko, Yu. A. Zaliznyak, and Yu. S. Kivshar, Phys. Rev. E 71, 065603 (2005).
[CrossRef]

Yin, H.

G. A. Swartzlander, Jr., D. R. Andersen, J. J. Regan, H. Yin, and A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

Zaliznyak, Yu. A.

A. I. Yakimenko, Yu. A. Zaliznyak, and Yu. S. Kivshar, Phys. Rev. E 71, 065603 (2005).
[CrossRef]

J. Opt. B (1)

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

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

JETP Lett. (1)

A. G. Litvak, JETP Lett. 4, 230 (1966).

Opt. Lett. (5)

Phys. Rev. A (1)

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

Phys. Rev. E (4)

A. I. Yakimenko, Yu. A. Zaliznyak, and Yu. S. Kivshar, Phys. Rev. E 71, 065603 (2005).
[CrossRef]

W. Krolikowski and O. Bang, Phys. Rev. E 63, 016610 (2000).
[CrossRef]

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

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

Phys. Rev. Lett. (6)

A. Dreischuh, D. N. Neshev, D. E. Petersen, O. Bang, and W. Krolikowski, Phys. Rev. Lett. 96, 43901 (2006).
[CrossRef]

G. A. Swartzlander, Jr., D. R. Andersen, J. J. Regan, H. Yin, and A. E. Kaplan, Phys. Rev. Lett. 66, 1583 (1991).
[CrossRef] [PubMed]

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

A. C. Tamm and W. Happer, Phys. Rev. Lett. 38, 278 (1977).
[CrossRef]

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

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

Other (1)

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

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Figures (3)

Fig. 1
Fig. 1

(a)–(c) Experimental images of the intensity distribution (left) and corresponding numerical results (right) at (a) input, (b) output of the cell for 8 mW (linear regime), and (c) 700 mW (nonlinear regime) of input power. Insets show the intensity profile along the dashed line. (d) Shift versus beam power for horizontal (triangles) and diagonal (squares) stripes together with the numerical results (line, both equal). Inset in (d) depicts the interaction scheme.

Fig. 2
Fig. 2

(a), (b) Input and output intensity distributions for stripes of different width (power 700 mW ). Left, experiments; right, numerical simulations.

Fig. 3
Fig. 3

Numerical results. Dark-soliton lateral shift versus intersection angle between the stripes for the power 700 mW . Insets show two examples of the output intensity distribution for ϕ = 20 ° and 75°.

Equations (1)

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i z E + Δ E + N ( I , r ) E = 0 ,

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