Abstract

We investigate, theoretically and experimentally, how linear modes evolve around discrete solitons. If the shape of the exciting beam is not matched to a soliton state, linear modes are excited, resulting in significant oscillations of the beam amplitude. Linear modes can cause a power increase in a single guide, where the effect of nonlinear absorption is enhanced tremendously. As a result we observe a splitting of the soliton, which is highly asymmetric in case of a tilted input beam. In the latter case most of the emerging field distribution finally moves opposite to the initial tilt.

© 2006 Optical Society of America

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  1. D. N. Christodoulides and R. I. Joseph, "Discrete self-focusing in nonlinear arrays of coupled waveguides," Opt. Lett. 13, 794-796 (1988).
    [CrossRef] [PubMed]
  2. H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
    [CrossRef]
  3. J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature 422, 147-150 (2003).
    [CrossRef] [PubMed]
  4. J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Discrete vector solitons in Kerr nonlinear waveguide arrays," Phys. Rev. Lett. 91, 143907 (2003).
    [CrossRef] [PubMed]
  5. P. Binder, D. Abraimov, A. V. Ustinov, S. Flach, and Y. Zolotaryuk, "Observation of breathers in Josephson ladders," Phys. Rev. Lett. 84, 745-748 (2000).
    [CrossRef] [PubMed]
  6. A. Trobettoni and A. Smerzi, "Discrete solitons and breathers with dilute Bose-Einstein condensates," Phys. Rev. Lett. 86, 2353-2356 (2001).
    [CrossRef]
  7. M. Sato, B. E. Hubbard, A. J. Sievers, B. Ilic, D. A. Czaplewski, and H. G. Craighead "Observation of locked intrinsic localized vibrational modes in a micromechanical oscillator array," Phys. Rev. Lett. 90, 044102 (2003).
    [CrossRef] [PubMed]
  8. D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Observation of mutually trapped multiband optical breathers in waveguide arrays," Phys. Rev. Lett. 90, 253902 (2003).
    [CrossRef] [PubMed]
  9. R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726-2729 (1999).
    [CrossRef]
  10. Y. S. Kivshar, D. E. Pelinovsky, T. Cretegny, and M. Peyrard, "Internal modes of solitary waves," Phys. Rev. Lett. 80, 5032-5035 (1998).
    [CrossRef]
  11. M. Johansson, S. Aubry, Y. B. Gaididei, P. L. Christiansen, and K. O. Rasmussen, "Dynamics of breathers in discrete nonlinear Schrödinger models," Physica D 119, 115--124 (1998).
    [CrossRef]
  12. Y. Silberberg, "Solitons and two-photon absorption," Opt. Lett. 15, 1005-1007 (1990).
    [CrossRef] [PubMed]
  13. J. S. Aitchison, Y. Silberberg, A. M. Weiner, D. E. Leaird, M. K. Oliver, J. L. Jackel, E. M. Vogel, P. W. E. Smith, "Spatial optical solitons in planar glass waveguides," J. Opt. Soc. Am. B 8, 1290-1297 (1991).
    [CrossRef]
  14. H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Diffraction management," Phys. Rev. Lett. 85, 1863-1866 (2000).
    [CrossRef] [PubMed]
  15. T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, "Anomalous refraction and diffraction in discrete optical systems," Phys. Rev. Lett. 88, 093901 (2002).
    [CrossRef] [PubMed]

2003 (4)

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature 422, 147-150 (2003).
[CrossRef] [PubMed]

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Discrete vector solitons in Kerr nonlinear waveguide arrays," Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef] [PubMed]

M. Sato, B. E. Hubbard, A. J. Sievers, B. Ilic, D. A. Czaplewski, and H. G. Craighead "Observation of locked intrinsic localized vibrational modes in a micromechanical oscillator array," Phys. Rev. Lett. 90, 044102 (2003).
[CrossRef] [PubMed]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Observation of mutually trapped multiband optical breathers in waveguide arrays," Phys. Rev. Lett. 90, 253902 (2003).
[CrossRef] [PubMed]

2002 (1)

T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, "Anomalous refraction and diffraction in discrete optical systems," Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef] [PubMed]

2001 (1)

A. Trobettoni and A. Smerzi, "Discrete solitons and breathers with dilute Bose-Einstein condensates," Phys. Rev. Lett. 86, 2353-2356 (2001).
[CrossRef]

2000 (2)

P. Binder, D. Abraimov, A. V. Ustinov, S. Flach, and Y. Zolotaryuk, "Observation of breathers in Josephson ladders," Phys. Rev. Lett. 84, 745-748 (2000).
[CrossRef] [PubMed]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Diffraction management," Phys. Rev. Lett. 85, 1863-1866 (2000).
[CrossRef] [PubMed]

1999 (1)

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726-2729 (1999).
[CrossRef]

1998 (3)

Y. S. Kivshar, D. E. Pelinovsky, T. Cretegny, and M. Peyrard, "Internal modes of solitary waves," Phys. Rev. Lett. 80, 5032-5035 (1998).
[CrossRef]

M. Johansson, S. Aubry, Y. B. Gaididei, P. L. Christiansen, and K. O. Rasmussen, "Dynamics of breathers in discrete nonlinear Schrödinger models," Physica D 119, 115--124 (1998).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
[CrossRef]

1991 (1)

1990 (1)

1988 (1)

Abraimov, D.

P. Binder, D. Abraimov, A. V. Ustinov, S. Flach, and Y. Zolotaryuk, "Observation of breathers in Josephson ladders," Phys. Rev. Lett. 84, 745-748 (2000).
[CrossRef] [PubMed]

Aitchison, J. S.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Discrete vector solitons in Kerr nonlinear waveguide arrays," Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef] [PubMed]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Observation of mutually trapped multiband optical breathers in waveguide arrays," Phys. Rev. Lett. 90, 253902 (2003).
[CrossRef] [PubMed]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Diffraction management," Phys. Rev. Lett. 85, 1863-1866 (2000).
[CrossRef] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726-2729 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
[CrossRef]

J. S. Aitchison, Y. Silberberg, A. M. Weiner, D. E. Leaird, M. K. Oliver, J. L. Jackel, E. M. Vogel, P. W. E. Smith, "Spatial optical solitons in planar glass waveguides," J. Opt. Soc. Am. B 8, 1290-1297 (1991).
[CrossRef]

Aubry, S.

M. Johansson, S. Aubry, Y. B. Gaididei, P. L. Christiansen, and K. O. Rasmussen, "Dynamics of breathers in discrete nonlinear Schrödinger models," Physica D 119, 115--124 (1998).
[CrossRef]

Binder, P.

P. Binder, D. Abraimov, A. V. Ustinov, S. Flach, and Y. Zolotaryuk, "Observation of breathers in Josephson ladders," Phys. Rev. Lett. 84, 745-748 (2000).
[CrossRef] [PubMed]

Boyd, A. R.

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
[CrossRef]

Bräuer, A.

T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, "Anomalous refraction and diffraction in discrete optical systems," Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef] [PubMed]

Christiansen, P. L.

M. Johansson, S. Aubry, Y. B. Gaididei, P. L. Christiansen, and K. O. Rasmussen, "Dynamics of breathers in discrete nonlinear Schrödinger models," Physica D 119, 115--124 (1998).
[CrossRef]

Christodoulides, D.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Discrete vector solitons in Kerr nonlinear waveguide arrays," Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef] [PubMed]

Christodoulides, D. N.

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature 422, 147-150 (2003).
[CrossRef] [PubMed]

D. N. Christodoulides and R. I. Joseph, "Discrete self-focusing in nonlinear arrays of coupled waveguides," Opt. Lett. 13, 794-796 (1988).
[CrossRef] [PubMed]

Craighead, H. G.

M. Sato, B. E. Hubbard, A. J. Sievers, B. Ilic, D. A. Czaplewski, and H. G. Craighead "Observation of locked intrinsic localized vibrational modes in a micromechanical oscillator array," Phys. Rev. Lett. 90, 044102 (2003).
[CrossRef] [PubMed]

Cretegny, T.

Y. S. Kivshar, D. E. Pelinovsky, T. Cretegny, and M. Peyrard, "Internal modes of solitary waves," Phys. Rev. Lett. 80, 5032-5035 (1998).
[CrossRef]

Czaplewski, D. A.

M. Sato, B. E. Hubbard, A. J. Sievers, B. Ilic, D. A. Czaplewski, and H. G. Craighead "Observation of locked intrinsic localized vibrational modes in a micromechanical oscillator array," Phys. Rev. Lett. 90, 044102 (2003).
[CrossRef] [PubMed]

Efremidis, N. K.

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature 422, 147-150 (2003).
[CrossRef] [PubMed]

Eisenberg, H. S.

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Observation of mutually trapped multiband optical breathers in waveguide arrays," Phys. Rev. Lett. 90, 253902 (2003).
[CrossRef] [PubMed]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Diffraction management," Phys. Rev. Lett. 85, 1863-1866 (2000).
[CrossRef] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726-2729 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
[CrossRef]

Flach, S.

P. Binder, D. Abraimov, A. V. Ustinov, S. Flach, and Y. Zolotaryuk, "Observation of breathers in Josephson ladders," Phys. Rev. Lett. 84, 745-748 (2000).
[CrossRef] [PubMed]

Fleischer, J. W.

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature 422, 147-150 (2003).
[CrossRef] [PubMed]

Gaididei, Y. B.

M. Johansson, S. Aubry, Y. B. Gaididei, P. L. Christiansen, and K. O. Rasmussen, "Dynamics of breathers in discrete nonlinear Schrödinger models," Physica D 119, 115--124 (1998).
[CrossRef]

Hubbard, B. E.

M. Sato, B. E. Hubbard, A. J. Sievers, B. Ilic, D. A. Czaplewski, and H. G. Craighead "Observation of locked intrinsic localized vibrational modes in a micromechanical oscillator array," Phys. Rev. Lett. 90, 044102 (2003).
[CrossRef] [PubMed]

Hudock, J.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Discrete vector solitons in Kerr nonlinear waveguide arrays," Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef] [PubMed]

Ilic, B.

M. Sato, B. E. Hubbard, A. J. Sievers, B. Ilic, D. A. Czaplewski, and H. G. Craighead "Observation of locked intrinsic localized vibrational modes in a micromechanical oscillator array," Phys. Rev. Lett. 90, 044102 (2003).
[CrossRef] [PubMed]

Jackel, J. L.

Johansson, M.

M. Johansson, S. Aubry, Y. B. Gaididei, P. L. Christiansen, and K. O. Rasmussen, "Dynamics of breathers in discrete nonlinear Schrödinger models," Physica D 119, 115--124 (1998).
[CrossRef]

Joseph, R. I.

Kivshar, Y. S.

Y. S. Kivshar, D. E. Pelinovsky, T. Cretegny, and M. Peyrard, "Internal modes of solitary waves," Phys. Rev. Lett. 80, 5032-5035 (1998).
[CrossRef]

Leaird, D. E.

Lederer, F.

T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, "Anomalous refraction and diffraction in discrete optical systems," Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef] [PubMed]

Mandelik, D.

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Observation of mutually trapped multiband optical breathers in waveguide arrays," Phys. Rev. Lett. 90, 253902 (2003).
[CrossRef] [PubMed]

Meier, J.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Discrete vector solitons in Kerr nonlinear waveguide arrays," Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef] [PubMed]

Morandotti, R.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Discrete vector solitons in Kerr nonlinear waveguide arrays," Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef] [PubMed]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Observation of mutually trapped multiband optical breathers in waveguide arrays," Phys. Rev. Lett. 90, 253902 (2003).
[CrossRef] [PubMed]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Diffraction management," Phys. Rev. Lett. 85, 1863-1866 (2000).
[CrossRef] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726-2729 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
[CrossRef]

Oliver, M. K.

Pelinovsky, D. E.

Y. S. Kivshar, D. E. Pelinovsky, T. Cretegny, and M. Peyrard, "Internal modes of solitary waves," Phys. Rev. Lett. 80, 5032-5035 (1998).
[CrossRef]

Pertsch, T.

T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, "Anomalous refraction and diffraction in discrete optical systems," Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef] [PubMed]

Peschel, U.

T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, "Anomalous refraction and diffraction in discrete optical systems," Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726-2729 (1999).
[CrossRef]

Peyrard, M.

Y. S. Kivshar, D. E. Pelinovsky, T. Cretegny, and M. Peyrard, "Internal modes of solitary waves," Phys. Rev. Lett. 80, 5032-5035 (1998).
[CrossRef]

Rasmussen, K. O.

M. Johansson, S. Aubry, Y. B. Gaididei, P. L. Christiansen, and K. O. Rasmussen, "Dynamics of breathers in discrete nonlinear Schrödinger models," Physica D 119, 115--124 (1998).
[CrossRef]

Sato, M.

M. Sato, B. E. Hubbard, A. J. Sievers, B. Ilic, D. A. Czaplewski, and H. G. Craighead "Observation of locked intrinsic localized vibrational modes in a micromechanical oscillator array," Phys. Rev. Lett. 90, 044102 (2003).
[CrossRef] [PubMed]

Segev, M.

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature 422, 147-150 (2003).
[CrossRef] [PubMed]

Sievers, A. J.

M. Sato, B. E. Hubbard, A. J. Sievers, B. Ilic, D. A. Czaplewski, and H. G. Craighead "Observation of locked intrinsic localized vibrational modes in a micromechanical oscillator array," Phys. Rev. Lett. 90, 044102 (2003).
[CrossRef] [PubMed]

Silberberg, Y.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Discrete vector solitons in Kerr nonlinear waveguide arrays," Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef] [PubMed]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Observation of mutually trapped multiband optical breathers in waveguide arrays," Phys. Rev. Lett. 90, 253902 (2003).
[CrossRef] [PubMed]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Diffraction management," Phys. Rev. Lett. 85, 1863-1866 (2000).
[CrossRef] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726-2729 (1999).
[CrossRef]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
[CrossRef]

J. S. Aitchison, Y. Silberberg, A. M. Weiner, D. E. Leaird, M. K. Oliver, J. L. Jackel, E. M. Vogel, P. W. E. Smith, "Spatial optical solitons in planar glass waveguides," J. Opt. Soc. Am. B 8, 1290-1297 (1991).
[CrossRef]

Y. Silberberg, "Solitons and two-photon absorption," Opt. Lett. 15, 1005-1007 (1990).
[CrossRef] [PubMed]

Smerzi, A.

A. Trobettoni and A. Smerzi, "Discrete solitons and breathers with dilute Bose-Einstein condensates," Phys. Rev. Lett. 86, 2353-2356 (2001).
[CrossRef]

Smith, P. W. E.

Stegeman, G.

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Discrete vector solitons in Kerr nonlinear waveguide arrays," Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef] [PubMed]

Trobettoni, A.

A. Trobettoni and A. Smerzi, "Discrete solitons and breathers with dilute Bose-Einstein condensates," Phys. Rev. Lett. 86, 2353-2356 (2001).
[CrossRef]

Ustinov, A. V.

P. Binder, D. Abraimov, A. V. Ustinov, S. Flach, and Y. Zolotaryuk, "Observation of breathers in Josephson ladders," Phys. Rev. Lett. 84, 745-748 (2000).
[CrossRef] [PubMed]

Vogel, E. M.

Weiner, A. M.

Zentgraf, T.

T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, "Anomalous refraction and diffraction in discrete optical systems," Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef] [PubMed]

Zolotaryuk, Y.

P. Binder, D. Abraimov, A. V. Ustinov, S. Flach, and Y. Zolotaryuk, "Observation of breathers in Josephson ladders," Phys. Rev. Lett. 84, 745-748 (2000).
[CrossRef] [PubMed]

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

Nature (1)

J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, "Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices," Nature 422, 147-150 (2003).
[CrossRef] [PubMed]

Opt. Lett. (2)

Phys. Rev. Lett. (10)

H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Diffraction management," Phys. Rev. Lett. 85, 1863-1866 (2000).
[CrossRef] [PubMed]

T. Pertsch, T. Zentgraf, U. Peschel, A. Bräuer, and F. Lederer, "Anomalous refraction and diffraction in discrete optical systems," Phys. Rev. Lett. 88, 093901 (2002).
[CrossRef] [PubMed]

H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, "Discrete spatial optical solitons in waveguide arrays," Phys. Rev. Lett. 81, 3383-3386 (1998).
[CrossRef]

J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Discrete vector solitons in Kerr nonlinear waveguide arrays," Phys. Rev. Lett. 91, 143907 (2003).
[CrossRef] [PubMed]

P. Binder, D. Abraimov, A. V. Ustinov, S. Flach, and Y. Zolotaryuk, "Observation of breathers in Josephson ladders," Phys. Rev. Lett. 84, 745-748 (2000).
[CrossRef] [PubMed]

A. Trobettoni and A. Smerzi, "Discrete solitons and breathers with dilute Bose-Einstein condensates," Phys. Rev. Lett. 86, 2353-2356 (2001).
[CrossRef]

M. Sato, B. E. Hubbard, A. J. Sievers, B. Ilic, D. A. Czaplewski, and H. G. Craighead "Observation of locked intrinsic localized vibrational modes in a micromechanical oscillator array," Phys. Rev. Lett. 90, 044102 (2003).
[CrossRef] [PubMed]

D. Mandelik, H. S. Eisenberg, Y. Silberberg, R. Morandotti, and J. S. Aitchison, "Observation of mutually trapped multiband optical breathers in waveguide arrays," Phys. Rev. Lett. 90, 253902 (2003).
[CrossRef] [PubMed]

R. Morandotti, U. Peschel, J. S. Aitchison, H. S. Eisenberg, and Y. Silberberg "Dynamics of discrete solitons in optical waveguide arrays," Phys. Rev. Lett. 83, 2726-2729 (1999).
[CrossRef]

Y. S. Kivshar, D. E. Pelinovsky, T. Cretegny, and M. Peyrard, "Internal modes of solitary waves," Phys. Rev. Lett. 80, 5032-5035 (1998).
[CrossRef]

Physica D (1)

M. Johansson, S. Aubry, Y. B. Gaididei, P. L. Christiansen, and K. O. Rasmussen, "Dynamics of breathers in discrete nonlinear Schrödinger models," Physica D 119, 115--124 (1998).
[CrossRef]

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Figures (5)

Fig. 1
Fig. 1

Properties of discrete solitons versus the propagation constant: (a) power and (b) spectrum of the linear modes (gray area, continuous spectrum; black curves, bound states; only the positive eigenvalues are plotted). Inset, linear modes of a discrete soliton with a propagation constant of 3.8 mm 1 (shaded area, discrete soliton; dashed curve, symmetric breathing mode; solid curve, antisymmetric quasi-translational mode. For both linear modes, only the localized field component is shown).

Fig. 2
Fig. 2

Field evolution for normal incidence and different values of the input power. (a) experimental traces of the field at the output facet of a waveguide array, (b) experimental traces of the field at the output facet of a respective film waveguide.

Fig. 3
Fig. 3

Numerical simulations of the field evolution in (a), (c) a lossless and in (b), (d) an array with three-photon absorption present. Initial beams with (a), (b) normal and (c), (d) oblique (angle in an AlGaAs film waveguide, 0.1°) incidence are used (a dashed line marks the propagation of a respective low-power beam).

Fig. 4
Fig. 4

Experimentally recorded output field distributions for varying in-coupled peak power (fixed angular tilt of 0.1° in an AlGaAs film waveguide; the dashed line acts as an input guide).

Fig. 5
Fig. 5

Experimentally recorded output field distribution for varying tilt of the exciting beam (fixed in coupled peak power of 2000 W ; the horizontal line represents the input waveguide and the vertical line represents the untilted input beam).

Equations (2)

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i d a n d z + γ a n 2 a n + i α 3 a n 4 a n + C ( a n + 1 + a n 1 ) = 0.
( i d d z β + 2 γ a n 0 2 ) δ a n + γ a n 0 2 δ a n * + C ( δ a n + 1 + δ a n 1 ) = 0 .

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