Dissipative surface solitons in periodic structures
ICFO-Institut de Ciencies Fotoniques, and Universitat Politecnica de Catalunya, Mediterranean Technology Park 08860 Castelldefels (Barcelona), Spain, EU
2 Centro de Física Teórica e Computacional and Departamento de Física, Faculdade de Ciências, Universidade de Lisboa - Avenida Professor Gama Pinto 2, Lisboa 1649-003, Portugal, EU
3 Departamento de Fisica y Matematicas, Universidad de las Americas - Puebla, Santa Catarina Martir, 72820, Puebla, Mexico
Accepted: 31 July 2010
We report dissipative surface solitons forming at the interface between a semi-infinite lattice and a homogeneous Kerr medium. The solitons exist due to the 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 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 the amplification coefficient exceeds the threshold value. When a soliton is formed in a total finite gap there exists also the upper limit for the linear gain.
PACS: 42.65.Tg – Optical solitons; nonlinear guided waves / 42.65.Jx – Beam trapping, self-focusing and defocusing; self-phase modulation / 42.65.Wi – Nonlinear waveguides
© EPLA, 2010