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Chaotic spatial soliton rays in smooth two-dimensional optical lattices.
1Laboratoire de Physique Théorique et Astroparticules, CNRS-IN2P3-UMR 5207, Université Montpellier 2, 34095 Montpellier, France. khomeriki@hotmail.com
Optics Letters
|November 3, 2009
Summary
Light rays in optical films can exhibit chaotic propagation, behaving like a driven pendulum. This new understanding of spatial solitons reveals how nonlinearity compensates for diffraction.
Area of Science:
- Nonlinear optics
- Wave propagation physics
- Optical materials science
Background:
- Spatial solitons are self-reinforcing light beams that maintain their shape while propagating.
- Optical films with modulated refractive indices present complex environments for light propagation.
- Understanding light ray behavior in such media is crucial for optical device design.
Purpose of the Study:
- To investigate the propagation dynamics of spatial solitons in optical films with smoothly modulated refractive indices.
- To identify and characterize potential chaotic regimes in light ray trajectories.
- To develop a theoretical framework for understanding these chaotic behaviors.
Main Methods:
- A novel perturbative approach to Maxwell's equations was employed.
- The behavior of light rays was modeled as a parametric driven pendulum.
- Comparison with the eikonal law of light ray propagation was performed.
Main Results:
- Chaotic regimes were identified for spatial soliton propagation in modulated optical films.
- The chaotic propagation was successfully modeled as a parametric driven pendulum.
- The findings align with the eikonal law, where nonlinearity counteracts diffraction.
Conclusions:
- Spatial solitons in modulated optical films can exhibit erratic, chaotic propagation.
- A parametric driven pendulum model provides a new interpretation of these chaotic dynamics.
- The interplay between nonlinearity and diffraction governs light ray behavior in these systems.
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