2010/07/21 by Yaroslav V. Kartashov, Vladimir V. Konotop, Victor A. Vysloukh
Physics and Astronomy · #physics.optics #nlin.PS
paper · pdf · doi:10.1209/0295-5075/91/34003
published as Europhysics Letters 91, 34003 (2010) · 5 pages, 3 figures, to appear in Europhysics Letters
arxiv created 2010/07/21 · arxiv updated 2015/05/19
We report dissipative surface solitons forming at the interface between a semi-infinite lattice and a homogeneous Kerr medium. The solitons exist due to balance between amplification in the near-surface lattice channel and two-photon absorption. The stable dissipative surface solitons exist in both focusing and defocusing media, when propagation constants of corresponding states fall into a total semi-infinite and or into one of total finite gaps of the spectrum (i.e. in a domain where propagation of linear waves is inhibited for the both media). In a general situation, the surface solitons form when amplification coefficient exceeds threshold value. When a soliton is formed in a total finite gap there exists also the upper limit for the linear gain.