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Solitons supported by singular modulation of the cubic nonlinearity
Optics Express
|August 9, 2017
Summary
Symmetry breaking in optical media with structured Kerr nonlinearity is explored. Spontaneous symmetry breaking occurs with two peaks, while multiple peaks lead to stable or unstable symmetric modes and soliton interactions.
Area of Science:
- Nonlinear optics
- Optical media modeling
- Soliton dynamics
Background:
- Investigates optical media with spatially structured Kerr nonlinearity.
- Nonlinearity is modulated by singular peaks on a uniform background, potentially with linear potentials.
Purpose of the Study:
- To model and analyze spontaneous symmetry breaking (SSB) in optical media with structured nonlinearity.
- To investigate the stability of pinned modes and the dynamics of soliton collisions with modulation peaks.
Main Methods:
- Development of a theoretical model for optical media with structured Kerr nonlinearity.
- Analysis of mode stability for different peak configurations (two, three, and five peaks).
- Simulation of collisions between moving solitons and singular modulation peaks.
Main Results:
- A pair of symmetric peaks induces spontaneous symmetry breaking of pinned modes.
- Antisymmetric modes are unstable, transforming into spatially odd breathers.
- Three-peak structures support stable twisted modes, while five-peak structures yield unstable patterns.
- Soliton collisions show complex behavior: bouncing, quasi-elastic scattering, destruction, or capture via resonance.
Conclusions:
- The spatial arrangement of nonlinearity significantly influences mode stability and symmetry.
- Structured nonlinearity can lead to diverse soliton-peak interactions, including trapping.
- This model provides insights into controlling light propagation in complex optical systems.
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