Ray chaos in a photonic crystal
Laboratoire Charles Coulomb (L2C), UMR 5221 CNRS-Université de Montpellier - Montpellier, France
Received: 30 September 2016
Accepted: 30 January 2017
The ray dynamics in a photonic crystal was investigated. Chaos occurs for perfectly periodic crystals, the rays dynamics being very sensitive to the initial conditions. Depending on the filling factor, the ray dynamics can exhibit stable paths near (fully) chaotic motion. The degree of chaoticity is quantified through the computation of Lyapunov exponents. As a result, the more diluted is the geometry, the more chaotic is the dynamic. Therefore, despite the perfect periodicity of the geometry, light transport is a diffusive process which can be tuned from normal diffusion (Brownian motion) to anomalous diffusion because of the existence of Lévy flights.
PACS: 42.65.Sf – Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics / 42.15.-i – Geometrical optics / 78.67.Pt – Multilayers; superlattices; photonic structures; metamaterials
© EPLA, 2017