Dissipative surface solitons in periodic structures

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 b...

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Bibliographic Details
Published in:Europhysics letters 2010-08, Vol.91 (3), p.34003
Main Authors: Kartashov, Y. V, Konotop, V. V, Vysloukh, V. A
Format: Article
Language:English
Subjects:
42.65.Jx
42.65.Tg
42.65.Wi
Amplification
Dissipation
Lattices
Mathematical analysis
Media
Solitons
Surface chemistry
Wave propagation
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Summary: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.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/91/34003