Abstract

We report what we believe is the first observation of modulation instability in the anomalous-diffraction regions of a photonic lattice. The experiments were carried out in a 1D waveguide array fabricated in a lithium niobate crystal displaying the photovoltaic self-defocusing nonlinearity, and our results are confirmed numerically by simulating the nonlinear beam propagation.

© 2006 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. G. I. Stegeman and M. Segev, Science 280, 889 (1998).
    [CrossRef]
  2. M. Marklund, P. K. Shukla, G. Betschart, L. Stenflo, D. Anderson, and M. Lisak, J. Exp. Theor. Phys. 99, 9 (2004).
    [CrossRef]
  3. G. Z. Machabeli, Q. Luo, S. V. Vladimirov, and D. B. Melrose, Phys. Rev. E 65, 036408 (2002).
    [CrossRef]
  4. P. Gauthier, O. Gobert, M. Comte, D. L'Hermite, J. de Lamare, and D. Benisti, Phys. Rev. A 65, 033804 (2002).
    [CrossRef]
  5. M. L. Begue, A. Ghizzo, P. Bertrand, E. Sonnendrucker, and O. Couland, J. Plasma Phys. 62, 367 (1999).
    [CrossRef]
  6. R. Lai and A. J. Sievers, Phys. Rev. B 57, 3433 (1998).
    [CrossRef]
  7. L. D. Carr and J. Brand, Phys. Rev. Lett. 92, 040401 (2004).
    [CrossRef] [PubMed]
  8. K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, Nature 417, 150 (2002).
    [CrossRef] [PubMed]
  9. A. Hasegawa, Opt. Lett. 9, 288 (1984).
    [CrossRef] [PubMed]
  10. M. Peccianti, C. Conti, G. Assanto, A. DeLuca, and C. Umeton, Nature 432, 733 (2004).
    [CrossRef] [PubMed]
  11. D. Gomila, R. Zambrini, and G.-L. Oppo, Phys. Rev. Lett. 92, 253904 (2004).
    [CrossRef] [PubMed]
  12. M. D. Iturbe-Castillo, M. Torres-Cisneros, J. J. Sánchez-Mondragón, S. Chávez-Cerda, S. I. Stepanov, V. A. Vysloukh, and G. E. Torres-Cisneros, Opt. Lett. 20, 1853 (1995).
    [CrossRef] [PubMed]
  13. M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, Opt. Commun. 126, 167 (1996).
    [CrossRef]
  14. A. V. Mamaev, M. Saffman, and A. A. Zozulya, Europhys. Lett. 35, 25 (1996).
    [CrossRef]
  15. H. Fang, R. Malendevich, R. Schiek, and G. I. Stegeman, Opt. Lett. 25, 1786 (2000).
    [CrossRef]
  16. M. Soljacic, M. Segev, T. Coskun, D. N. Christodoulides, and A. Vishwanath, Phys. Rev. Lett. 84, 467 (2000).
    [CrossRef] [PubMed]
  17. D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
    [CrossRef] [PubMed]
  18. D. N. Christodoulides and R. I. Joseph, Opt. Lett. 13, 794 (1988).
    [CrossRef] [PubMed]
  19. J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchinson, Phys. Rev. Lett. 92, 163902 (2004).
    [CrossRef] [PubMed]
  20. Yu. S. Kivshar and M. Peyrard, Phys. Rev. A 46, 3198 (1992).
    [CrossRef] [PubMed]
  21. H. G. Winful, R. Zamir, and S. Feldman, Appl. Phys. Lett. 58, 1001 (1991).
    [CrossRef]
  22. I. Daumont, T. Dauxois, and M. Peyrard, Nonlinearity 10, 617 (1997).
    [CrossRef]
  23. Yu. S. Kivshar, Opt. Lett. 18, 1147 (1993).
    [CrossRef] [PubMed]
  24. A. Maluckov, M. Stepic, D. Kip, and Lj. Hadzievski, Eur. Phys. J. B 45, 539 (2005).
    [CrossRef]
  25. T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, Phys. Rev. Lett. 83, 4752 (1999).
    [CrossRef]
  26. R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchinson, Phys. Rev. Lett. 86, 3296 (2001).
    [CrossRef] [PubMed]
  27. J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, Opt. Express 13, 1780 (2005).
    [CrossRef] [PubMed]
  28. F. Chen, M. Stepic, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, Opt. Express 13, 4314 (2005).
    [CrossRef] [PubMed]
  29. R. Zengerle, J. Mod. Opt. 34, 1589 (1987).
    [CrossRef]
  30. J. Hukriede, D. Kip, and E. Krätzig, Appl. Phys. B 66, 333 (1998).
    [CrossRef]

2005 (3)

2004 (5)

L. D. Carr and J. Brand, Phys. Rev. Lett. 92, 040401 (2004).
[CrossRef] [PubMed]

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchinson, Phys. Rev. Lett. 92, 163902 (2004).
[CrossRef] [PubMed]

M. Marklund, P. K. Shukla, G. Betschart, L. Stenflo, D. Anderson, and M. Lisak, J. Exp. Theor. Phys. 99, 9 (2004).
[CrossRef]

M. Peccianti, C. Conti, G. Assanto, A. DeLuca, and C. Umeton, Nature 432, 733 (2004).
[CrossRef] [PubMed]

D. Gomila, R. Zambrini, and G.-L. Oppo, Phys. Rev. Lett. 92, 253904 (2004).
[CrossRef] [PubMed]

2002 (3)

G. Z. Machabeli, Q. Luo, S. V. Vladimirov, and D. B. Melrose, Phys. Rev. E 65, 036408 (2002).
[CrossRef]

P. Gauthier, O. Gobert, M. Comte, D. L'Hermite, J. de Lamare, and D. Benisti, Phys. Rev. A 65, 033804 (2002).
[CrossRef]

K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, Nature 417, 150 (2002).
[CrossRef] [PubMed]

2001 (1)

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchinson, Phys. Rev. Lett. 86, 3296 (2001).
[CrossRef] [PubMed]

2000 (3)

M. Soljacic, M. Segev, T. Coskun, D. N. Christodoulides, and A. Vishwanath, Phys. Rev. Lett. 84, 467 (2000).
[CrossRef] [PubMed]

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

H. Fang, R. Malendevich, R. Schiek, and G. I. Stegeman, Opt. Lett. 25, 1786 (2000).
[CrossRef]

1999 (2)

T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, Phys. Rev. Lett. 83, 4752 (1999).
[CrossRef]

M. L. Begue, A. Ghizzo, P. Bertrand, E. Sonnendrucker, and O. Couland, J. Plasma Phys. 62, 367 (1999).
[CrossRef]

1998 (3)

R. Lai and A. J. Sievers, Phys. Rev. B 57, 3433 (1998).
[CrossRef]

G. I. Stegeman and M. Segev, Science 280, 889 (1998).
[CrossRef]

J. Hukriede, D. Kip, and E. Krätzig, Appl. Phys. B 66, 333 (1998).
[CrossRef]

1997 (1)

I. Daumont, T. Dauxois, and M. Peyrard, Nonlinearity 10, 617 (1997).
[CrossRef]

1996 (2)

M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, Opt. Commun. 126, 167 (1996).
[CrossRef]

A. V. Mamaev, M. Saffman, and A. A. Zozulya, Europhys. Lett. 35, 25 (1996).
[CrossRef]

1995 (1)

1993 (1)

1992 (1)

Yu. S. Kivshar and M. Peyrard, Phys. Rev. A 46, 3198 (1992).
[CrossRef] [PubMed]

1991 (1)

H. G. Winful, R. Zamir, and S. Feldman, Appl. Phys. Lett. 58, 1001 (1991).
[CrossRef]

1988 (1)

1987 (1)

R. Zengerle, J. Mod. Opt. 34, 1589 (1987).
[CrossRef]

1984 (1)

Aitchinson, J. S.

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchinson, Phys. Rev. Lett. 92, 163902 (2004).
[CrossRef] [PubMed]

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchinson, Phys. Rev. Lett. 86, 3296 (2001).
[CrossRef] [PubMed]

Anderson, D.

M. Marklund, P. K. Shukla, G. Betschart, L. Stenflo, D. Anderson, and M. Lisak, J. Exp. Theor. Phys. 99, 9 (2004).
[CrossRef]

Assanto, G.

M. Peccianti, C. Conti, G. Assanto, A. DeLuca, and C. Umeton, Nature 432, 733 (2004).
[CrossRef] [PubMed]

Bartal, G.

Begue, M. L.

M. L. Begue, A. Ghizzo, P. Bertrand, E. Sonnendrucker, and O. Couland, J. Plasma Phys. 62, 367 (1999).
[CrossRef]

Benisti, D.

P. Gauthier, O. Gobert, M. Comte, D. L'Hermite, J. de Lamare, and D. Benisti, Phys. Rev. A 65, 033804 (2002).
[CrossRef]

Bertrand, P.

M. L. Begue, A. Ghizzo, P. Bertrand, E. Sonnendrucker, and O. Couland, J. Plasma Phys. 62, 367 (1999).
[CrossRef]

Betschart, G.

M. Marklund, P. K. Shukla, G. Betschart, L. Stenflo, D. Anderson, and M. Lisak, J. Exp. Theor. Phys. 99, 9 (2004).
[CrossRef]

Brand, J.

L. D. Carr and J. Brand, Phys. Rev. Lett. 92, 040401 (2004).
[CrossRef] [PubMed]

Brauer, A.

T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, Phys. Rev. Lett. 83, 4752 (1999).
[CrossRef]

Buljan, H.

Carr, L. D.

L. D. Carr and J. Brand, Phys. Rev. Lett. 92, 040401 (2004).
[CrossRef] [PubMed]

Carvalho, M. I.

M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, Opt. Commun. 126, 167 (1996).
[CrossRef]

Chávez-Cerda, S.

Chen, F.

Christodoulides, D. N.

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchinson, Phys. Rev. Lett. 92, 163902 (2004).
[CrossRef] [PubMed]

M. Soljacic, M. Segev, T. Coskun, D. N. Christodoulides, and A. Vishwanath, Phys. Rev. Lett. 84, 467 (2000).
[CrossRef] [PubMed]

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, Opt. Commun. 126, 167 (1996).
[CrossRef]

D. N. Christodoulides and R. I. Joseph, Opt. Lett. 13, 794 (1988).
[CrossRef] [PubMed]

Cohen, O.

Comte, M.

P. Gauthier, O. Gobert, M. Comte, D. L'Hermite, J. de Lamare, and D. Benisti, Phys. Rev. A 65, 033804 (2002).
[CrossRef]

Conti, C.

M. Peccianti, C. Conti, G. Assanto, A. DeLuca, and C. Umeton, Nature 432, 733 (2004).
[CrossRef] [PubMed]

Coskun, T.

M. Soljacic, M. Segev, T. Coskun, D. N. Christodoulides, and A. Vishwanath, Phys. Rev. Lett. 84, 467 (2000).
[CrossRef] [PubMed]

Couland, O.

M. L. Begue, A. Ghizzo, P. Bertrand, E. Sonnendrucker, and O. Couland, J. Plasma Phys. 62, 367 (1999).
[CrossRef]

Dannberg, P.

T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, Phys. Rev. Lett. 83, 4752 (1999).
[CrossRef]

Daumont, I.

I. Daumont, T. Dauxois, and M. Peyrard, Nonlinearity 10, 617 (1997).
[CrossRef]

Dauxois, T.

I. Daumont, T. Dauxois, and M. Peyrard, Nonlinearity 10, 617 (1997).
[CrossRef]

de Lamare, J.

P. Gauthier, O. Gobert, M. Comte, D. L'Hermite, J. de Lamare, and D. Benisti, Phys. Rev. A 65, 033804 (2002).
[CrossRef]

DeLuca, A.

M. Peccianti, C. Conti, G. Assanto, A. DeLuca, and C. Umeton, Nature 432, 733 (2004).
[CrossRef] [PubMed]

Efremidis, N. K.

Eisenberg, H. S.

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchinson, Phys. Rev. Lett. 86, 3296 (2001).
[CrossRef] [PubMed]

Elflein, W.

T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, Phys. Rev. Lett. 83, 4752 (1999).
[CrossRef]

Eugenieva, E.

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

Fang, H.

Feldman, S.

H. G. Winful, R. Zamir, and S. Feldman, Appl. Phys. Lett. 58, 1001 (1991).
[CrossRef]

Fleischer, J. W.

Freedman, B.

Gauthier, P.

P. Gauthier, O. Gobert, M. Comte, D. L'Hermite, J. de Lamare, and D. Benisti, Phys. Rev. A 65, 033804 (2002).
[CrossRef]

Ghizzo, A.

M. L. Begue, A. Ghizzo, P. Bertrand, E. Sonnendrucker, and O. Couland, J. Plasma Phys. 62, 367 (1999).
[CrossRef]

Gobert, O.

P. Gauthier, O. Gobert, M. Comte, D. L'Hermite, J. de Lamare, and D. Benisti, Phys. Rev. A 65, 033804 (2002).
[CrossRef]

Gomila, D.

D. Gomila, R. Zambrini, and G.-L. Oppo, Phys. Rev. Lett. 92, 253904 (2004).
[CrossRef] [PubMed]

Hadzievski, Lj.

A. Maluckov, M. Stepic, D. Kip, and Lj. Hadzievski, Eur. Phys. J. B 45, 539 (2005).
[CrossRef]

Hasegawa, A.

Hukriede, J.

J. Hukriede, D. Kip, and E. Krätzig, Appl. Phys. B 66, 333 (1998).
[CrossRef]

Hulet, R. G.

K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, Nature 417, 150 (2002).
[CrossRef] [PubMed]

Iturbe-Castillo, M. D.

Joseph, R. I.

Kip, D.

F. Chen, M. Stepic, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, Opt. Express 13, 4314 (2005).
[CrossRef] [PubMed]

A. Maluckov, M. Stepic, D. Kip, and Lj. Hadzievski, Eur. Phys. J. B 45, 539 (2005).
[CrossRef]

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

J. Hukriede, D. Kip, and E. Krätzig, Appl. Phys. B 66, 333 (1998).
[CrossRef]

Kivshar, Yu. S.

Yu. S. Kivshar, Opt. Lett. 18, 1147 (1993).
[CrossRef] [PubMed]

Yu. S. Kivshar and M. Peyrard, Phys. Rev. A 46, 3198 (1992).
[CrossRef] [PubMed]

Krätzig, E.

J. Hukriede, D. Kip, and E. Krätzig, Appl. Phys. B 66, 333 (1998).
[CrossRef]

Lai, R.

R. Lai and A. J. Sievers, Phys. Rev. B 57, 3433 (1998).
[CrossRef]

Lederer, F.

T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, Phys. Rev. Lett. 83, 4752 (1999).
[CrossRef]

L'Hermite, D.

P. Gauthier, O. Gobert, M. Comte, D. L'Hermite, J. de Lamare, and D. Benisti, Phys. Rev. A 65, 033804 (2002).
[CrossRef]

Lisak, M.

M. Marklund, P. K. Shukla, G. Betschart, L. Stenflo, D. Anderson, and M. Lisak, J. Exp. Theor. Phys. 99, 9 (2004).
[CrossRef]

Luo, Q.

G. Z. Machabeli, Q. Luo, S. V. Vladimirov, and D. B. Melrose, Phys. Rev. E 65, 036408 (2002).
[CrossRef]

Machabeli, G. Z.

G. Z. Machabeli, Q. Luo, S. V. Vladimirov, and D. B. Melrose, Phys. Rev. E 65, 036408 (2002).
[CrossRef]

Malendevich, R.

Maluckov, A.

A. Maluckov, M. Stepic, D. Kip, and Lj. Hadzievski, Eur. Phys. J. B 45, 539 (2005).
[CrossRef]

Mamaev, A. V.

A. V. Mamaev, M. Saffman, and A. A. Zozulya, Europhys. Lett. 35, 25 (1996).
[CrossRef]

Manela, O.

Marklund, M.

M. Marklund, P. K. Shukla, G. Betschart, L. Stenflo, D. Anderson, and M. Lisak, J. Exp. Theor. Phys. 99, 9 (2004).
[CrossRef]

Meier, J.

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchinson, Phys. Rev. Lett. 92, 163902 (2004).
[CrossRef] [PubMed]

Melrose, D. B.

G. Z. Machabeli, Q. Luo, S. V. Vladimirov, and D. B. Melrose, Phys. Rev. E 65, 036408 (2002).
[CrossRef]

Morandotti, R.

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchinson, Phys. Rev. Lett. 92, 163902 (2004).
[CrossRef] [PubMed]

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchinson, Phys. Rev. Lett. 86, 3296 (2001).
[CrossRef] [PubMed]

Oppo, G.-L.

D. Gomila, R. Zambrini, and G.-L. Oppo, Phys. Rev. Lett. 92, 253904 (2004).
[CrossRef] [PubMed]

Partridge, G. B.

K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, Nature 417, 150 (2002).
[CrossRef] [PubMed]

Peccianti, M.

M. Peccianti, C. Conti, G. Assanto, A. DeLuca, and C. Umeton, Nature 432, 733 (2004).
[CrossRef] [PubMed]

Pertsch, T.

T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, Phys. Rev. Lett. 83, 4752 (1999).
[CrossRef]

Peyrard, M.

I. Daumont, T. Dauxois, and M. Peyrard, Nonlinearity 10, 617 (1997).
[CrossRef]

Yu. S. Kivshar and M. Peyrard, Phys. Rev. A 46, 3198 (1992).
[CrossRef] [PubMed]

Runde, D.

Rüter, C. E.

Saffman, M.

A. V. Mamaev, M. Saffman, and A. A. Zozulya, Europhys. Lett. 35, 25 (1996).
[CrossRef]

Salamo, G.

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchinson, Phys. Rev. Lett. 92, 163902 (2004).
[CrossRef] [PubMed]

Sánchez-Mondragón, J. J.

Schiek, R.

Schwartz, T.

Segev, M.

J. W. Fleischer, G. Bartal, O. Cohen, T. Schwartz, O. Manela, B. Freedman, M. Segev, H. Buljan, and N. K. Efremidis, Opt. Express 13, 1780 (2005).
[CrossRef] [PubMed]

F. Chen, M. Stepic, C. E. Rüter, D. Runde, D. Kip, V. Shandarov, O. Manela, and M. Segev, Opt. Express 13, 4314 (2005).
[CrossRef] [PubMed]

M. Soljacic, M. Segev, T. Coskun, D. N. Christodoulides, and A. Vishwanath, Phys. Rev. Lett. 84, 467 (2000).
[CrossRef] [PubMed]

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

G. I. Stegeman and M. Segev, Science 280, 889 (1998).
[CrossRef]

Shandarov, V.

Shukla, P. K.

M. Marklund, P. K. Shukla, G. Betschart, L. Stenflo, D. Anderson, and M. Lisak, J. Exp. Theor. Phys. 99, 9 (2004).
[CrossRef]

Sievers, A. J.

R. Lai and A. J. Sievers, Phys. Rev. B 57, 3433 (1998).
[CrossRef]

Silberberg, Y.

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchinson, Phys. Rev. Lett. 92, 163902 (2004).
[CrossRef] [PubMed]

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchinson, Phys. Rev. Lett. 86, 3296 (2001).
[CrossRef] [PubMed]

Singh, S. R.

M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, Opt. Commun. 126, 167 (1996).
[CrossRef]

Soljacic, M.

M. Soljacic, M. Segev, T. Coskun, D. N. Christodoulides, and A. Vishwanath, Phys. Rev. Lett. 84, 467 (2000).
[CrossRef] [PubMed]

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

Sonnendrucker, E.

M. L. Begue, A. Ghizzo, P. Bertrand, E. Sonnendrucker, and O. Couland, J. Plasma Phys. 62, 367 (1999).
[CrossRef]

Sorel, M.

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchinson, Phys. Rev. Lett. 92, 163902 (2004).
[CrossRef] [PubMed]

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchinson, Phys. Rev. Lett. 86, 3296 (2001).
[CrossRef] [PubMed]

Stegeman, G. I.

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchinson, Phys. Rev. Lett. 92, 163902 (2004).
[CrossRef] [PubMed]

H. Fang, R. Malendevich, R. Schiek, and G. I. Stegeman, Opt. Lett. 25, 1786 (2000).
[CrossRef]

G. I. Stegeman and M. Segev, Science 280, 889 (1998).
[CrossRef]

Stenflo, L.

M. Marklund, P. K. Shukla, G. Betschart, L. Stenflo, D. Anderson, and M. Lisak, J. Exp. Theor. Phys. 99, 9 (2004).
[CrossRef]

Stepanov, S. I.

Stepic, M.

Strecker, K. E.

K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, Nature 417, 150 (2002).
[CrossRef] [PubMed]

Torres-Cisneros, G. E.

Torres-Cisneros, M.

Truscott, A. G.

K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, Nature 417, 150 (2002).
[CrossRef] [PubMed]

Umeton, C.

M. Peccianti, C. Conti, G. Assanto, A. DeLuca, and C. Umeton, Nature 432, 733 (2004).
[CrossRef] [PubMed]

Vishwanath, A.

M. Soljacic, M. Segev, T. Coskun, D. N. Christodoulides, and A. Vishwanath, Phys. Rev. Lett. 84, 467 (2000).
[CrossRef] [PubMed]

Vladimirov, S. V.

G. Z. Machabeli, Q. Luo, S. V. Vladimirov, and D. B. Melrose, Phys. Rev. E 65, 036408 (2002).
[CrossRef]

Vysloukh, V. A.

Winful, H. G.

H. G. Winful, R. Zamir, and S. Feldman, Appl. Phys. Lett. 58, 1001 (1991).
[CrossRef]

Yang, H.

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchinson, Phys. Rev. Lett. 92, 163902 (2004).
[CrossRef] [PubMed]

Zambrini, R.

D. Gomila, R. Zambrini, and G.-L. Oppo, Phys. Rev. Lett. 92, 253904 (2004).
[CrossRef] [PubMed]

Zamir, R.

H. G. Winful, R. Zamir, and S. Feldman, Appl. Phys. Lett. 58, 1001 (1991).
[CrossRef]

Zengerle, R.

R. Zengerle, J. Mod. Opt. 34, 1589 (1987).
[CrossRef]

Zozulya, A. A.

A. V. Mamaev, M. Saffman, and A. A. Zozulya, Europhys. Lett. 35, 25 (1996).
[CrossRef]

Appl. Phys. B (1)

J. Hukriede, D. Kip, and E. Krätzig, Appl. Phys. B 66, 333 (1998).
[CrossRef]

Appl. Phys. Lett. (1)

H. G. Winful, R. Zamir, and S. Feldman, Appl. Phys. Lett. 58, 1001 (1991).
[CrossRef]

Eur. Phys. J. B (1)

A. Maluckov, M. Stepic, D. Kip, and Lj. Hadzievski, Eur. Phys. J. B 45, 539 (2005).
[CrossRef]

Europhys. Lett. (1)

A. V. Mamaev, M. Saffman, and A. A. Zozulya, Europhys. Lett. 35, 25 (1996).
[CrossRef]

J. Exp. Theor. Phys. (1)

M. Marklund, P. K. Shukla, G. Betschart, L. Stenflo, D. Anderson, and M. Lisak, J. Exp. Theor. Phys. 99, 9 (2004).
[CrossRef]

J. Mod. Opt. (1)

R. Zengerle, J. Mod. Opt. 34, 1589 (1987).
[CrossRef]

J. Plasma Phys. (1)

M. L. Begue, A. Ghizzo, P. Bertrand, E. Sonnendrucker, and O. Couland, J. Plasma Phys. 62, 367 (1999).
[CrossRef]

Nature (2)

K. E. Strecker, G. B. Partridge, A. G. Truscott, and R. G. Hulet, Nature 417, 150 (2002).
[CrossRef] [PubMed]

M. Peccianti, C. Conti, G. Assanto, A. DeLuca, and C. Umeton, Nature 432, 733 (2004).
[CrossRef] [PubMed]

Nonlinearity (1)

I. Daumont, T. Dauxois, and M. Peyrard, Nonlinearity 10, 617 (1997).
[CrossRef]

Opt. Commun. (1)

M. I. Carvalho, S. R. Singh, and D. N. Christodoulides, Opt. Commun. 126, 167 (1996).
[CrossRef]

Opt. Express (2)

Opt. Lett. (5)

Phys. Rev. A (2)

Yu. S. Kivshar and M. Peyrard, Phys. Rev. A 46, 3198 (1992).
[CrossRef] [PubMed]

P. Gauthier, O. Gobert, M. Comte, D. L'Hermite, J. de Lamare, and D. Benisti, Phys. Rev. A 65, 033804 (2002).
[CrossRef]

Phys. Rev. B (1)

R. Lai and A. J. Sievers, Phys. Rev. B 57, 3433 (1998).
[CrossRef]

Phys. Rev. E (1)

G. Z. Machabeli, Q. Luo, S. V. Vladimirov, and D. B. Melrose, Phys. Rev. E 65, 036408 (2002).
[CrossRef]

Phys. Rev. Lett. (6)

L. D. Carr and J. Brand, Phys. Rev. Lett. 92, 040401 (2004).
[CrossRef] [PubMed]

D. Gomila, R. Zambrini, and G.-L. Oppo, Phys. Rev. Lett. 92, 253904 (2004).
[CrossRef] [PubMed]

J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchinson, Phys. Rev. Lett. 92, 163902 (2004).
[CrossRef] [PubMed]

T. Pertsch, P. Dannberg, W. Elflein, A. Brauer, and F. Lederer, Phys. Rev. Lett. 83, 4752 (1999).
[CrossRef]

R. Morandotti, H. S. Eisenberg, Y. Silberberg, M. Sorel, and J. S. Aitchinson, Phys. Rev. Lett. 86, 3296 (2001).
[CrossRef] [PubMed]

M. Soljacic, M. Segev, T. Coskun, D. N. Christodoulides, and A. Vishwanath, Phys. Rev. Lett. 84, 467 (2000).
[CrossRef] [PubMed]

Science (2)

D. Kip, M. Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, Science 290, 495 (2000).
[CrossRef] [PubMed]

G. I. Stegeman and M. Segev, Science 280, 889 (1998).
[CrossRef]

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

Dispersion relation of our 1D waveguide array. The shaded regions are gaps in which light cannot propagate. The arrows point to the regions of anomalous diffraction within the first band. The value β = 0 is given relative to the propagation constant of a substrate mode.

Fig. 2
Fig. 2

Geometry of the prism coupler setup used to excite certain FB modes of the 1D waveguide array.

Fig. 3
Fig. 3

Light intensity distribution I at the rear facet of the array within the first and second bands as a function of illumination time t.

Fig. 4
Fig. 4

BPM simulation of MI in the first band of a nonlinear waveguide array with nonlinearity Δ n = Δ n nl I ( I + I d ) ( Δ n 0 = 0.000 55 , I I d = 3 ) .

Fig. 5
Fig. 5

Spatial frequency Ω of MI in the first band obtained with BPM as a function of nonlinearity Δ n nl and for different intensity ratios r. The dotted horizontal line is the experimentally observed frequency in Fig. 4.

Metrics