Dissipative surface solitons in periodic structures

Abstract

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.

5 pages, 3 figures, to appear in Europhysics Letters

References in corpus (6)

• Observation of surface gap solitons in semi-infinite waveguide arrays
• Observation of two-dimensional surface solitons in anisotropic waveguide arrays
• Discrete surface solitons in semi-infinite binary waveguide arrays
• Observation of two-dimensional defect surface solitons
• Surface modes and breathers in finite arrays of nonlinear waveguides
• Soliton emission in amplifying optical lattice surfaces

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