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Moving Bragg grating solitons in a cubic-quintic nonlinear medium with dispersive reflectivity
1School of Electrical and Information Engineering, The University of Sydney, NSW, 2006, Australia.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 17, 2013
Summary
Moving solitons in Bragg gratings exhibit complex dynamics. Their stability and collision outcomes depend on nonlinearity and reflectivity, leading to diverse interactions like merging or repulsion.
Area of Science:
- Nonlinear Optics
- Soliton Dynamics
- Photonic Crystals
Background:
- Solitons are self-reinforcing wave packets crucial in nonlinear systems.
- Bragg gratings are periodic structures used in optics to reflect specific wavelengths.
- Cubic-quintic nonlinearity and dispersive reflectivity introduce complex behaviors in optical systems.
Purpose of the Study:
- Investigate the stability of moving solitons in Bragg gratings.
- Analyze collision dynamics between different soliton types.
- Determine the influence of nonlinearity and reflectivity on soliton behavior.
Main Methods:
- Numerical stability analysis was performed.
- The (η,Ω(norm)) plane was used to map soliton families and stability regions.
- Systematic investigation of counterpropagating Type 1 and Type 2 soliton collisions.
Main Results:
- Two soliton families were identified based on nonlinearity and frequency.
- Stability regions were mapped, showing dependence on reflectivity (m) and velocity (v).
- Collisions yielded diverse outcomes: separation, merging, formation of quiescent or multiple solitons, and repulsion.
Conclusions:
- Soliton stability and collision outcomes are highly sensitive to dispersive reflectivity and velocity.
- Stronger reflectivity can lead to soliton repulsion or complex multi-soliton states.
- Understanding these dynamics is key for controlling light propagation in nonlinear media.
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