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Surface lattice solitons in diffusive nonlinear media with spatially modulated nonlinearity
Optics Express
|September 15, 2015
Summary
This study investigates lattice solitons in nonlinear periodic media. Spatially modulated nonlinearity critically affects soliton stability, with different behaviors observed for self-focusing and self-defocusing cases.
Area of Science:
- Nonlinear optics
- Condensed matter physics
- Mathematical physics
Background:
- Lattice solitons are crucial in nonlinear periodic media.
- Spatially modulated nonlinearity introduces complex behaviors.
- Understanding soliton stability is key for applications.
Purpose of the Study:
- To report two families of gap and twisted surface lattice solitons.
- To analyze the impact of spatially modulated nonlinearity on soliton existence and stability.
- To differentiate behaviors in self-focusing and self-defocusing nonlinear media.
Main Methods:
- Theoretical analysis of solitons in diffusive nonlinear periodic media.
- Investigation of gap and twisted surface lattice solitons.
- Examination of stability across varying modulated nonlinearity strengths.
Main Results:
- Soliton existence and stability are highly sensitive to modulated nonlinearity.
- In self-focusing media, gap solitons are stable; twisted solitons show stability at low modulation.
- In self-defocusing media, gap solitons are stable except near Bloch bands; twisted solitons are unstable.
Conclusions:
- Spatially modulated nonlinearity dictates soliton dynamics in these systems.
- Specific soliton types exhibit distinct stability regimes based on nonlinearity type and strength.
- The findings provide insights into controlling and predicting soliton behavior.
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