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

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

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

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

2000

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

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

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

1990

1988

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

Nature

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.

Phys. Rev. Lett.

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

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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