Surface lattice solitons.

We study theoretically nonlinear surface waves in optical lattices and show that solitons can exist at the heterointerface between two different semi-infinite 1D waveguide arrays, as well as at the boundaries of a 2D nonlinear lattice. The existence and properties of these surface soliton solutions are investigated in detail.

[1]  R. Morandotti,et al.  Observation of discrete surface solitons. , 2006, Physical review letters.

[2]  G. Stegeman,et al.  Calculations of nonlinear TE waves guided by thin dielectric films bounded by nonlinear media , 1985 .

[3]  J. S. Aitchison,et al.  Discrete Spatial Optical Solitons in Waveguide Arrays , 1998 .

[4]  Lluis Torner,et al.  Surface gap solitons. , 2006, Physical review letters.

[5]  P. Yeh,et al.  Optical surface waves in periodic layered media , 1978 .

[6]  Mordechai Segev,et al.  Two-dimensional optical lattice solitons. , 2003, Physical review letters.

[7]  Alain Hache,et al.  Discrete surface solitons. , 2005, Optics letters.

[8]  Yaron Silberberg,et al.  Discretizing light behaviour in linear and nonlinear waveguide lattices , 2003, Nature.

[9]  R. Morandotti,et al.  Experimental observation of discrete modulational instability. , 2004, Physical review letters.

[10]  M. Segev,et al.  Observation of random-phase lattice solitons , 2005, Nature.

[11]  D. Christodoulides,et al.  Discrete self-focusing in nonlinear arrays of coupled waveguides. , 1988, Optics letters.

[12]  Wolfgang Sohler,et al.  Observation of discrete quadratic surface solitons. , 2006, Optics express.

[13]  M. Segev,et al.  Multiband vector lattice solitons. , 2003, Physical review letters.

[14]  Falk Lederer,et al.  A new type of nonlinear slab-guided waves , 1983 .

[15]  S. G. Davison,et al.  Basic Theory of Surface States , 1996 .

[16]  M. Cronin-Golomb.  Photorefractive surface waves. , 1995, Optics letters.

[17]  F. Lederer,et al.  Observation of discrete quadratic solitons. , 2004, Physical review letters.

[18]  Demetrios N. Christodoulides,et al.  Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices , 2003, Nature.

[19]  J. Yang,et al.  Self-trapping of light in a two-dimensional photonic lattice , 2004 .