Propagation of rays in 2D and 3D waveguides: A stability analysis with Lyapunov and reversibility fast indicators

DOI10.1063/5.0043782zbMath1460.78016arXiv2101.04589OpenAlexW3119669790MaRDI QIDQ4989120

Gabriele Gradoni, Giorgio Turchetti, Federico Panichi

Publication date: 20 May 2021

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.04589

Mathematics Subject Classification ID

Antennas, waveguides in optics and electromagnetic theory (78A50) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Geometric optics (78A05)

Cites Work

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• Diffusive transport in highly corrugated channels
• Geometrical properties of local dynamics in Hamiltonian systems: the generalized alignment index (GALI) method
• On the ergodic properties of nowhere dispersing billiards
• Homoclinic chaos for ray optics in a fiber
• Introducing symplectic billiards
• Lyapunov and reversibility errors for Hamiltonian flows
• Predicting the statistics of wave transport through chaotic cavities by the random coupling model: a review and recent progress
• Scaling invariance for the escape of particles from a periodically corrugated waveguide
• Fidelity and reversibility in the restricted three body problem
• Stability of motion
• Positive topological entropy implies chaos DC2
• Capacity of Finite State Channels Based on Lyapunov Exponents of Random Matrices
• An inequality for the entropy of differentiable maps
• COMPARATIVE STUDY OF VARIATIONAL CHAOS INDICATORS AND ODEs' NUMERICAL INTEGRATORS
• ANALYSIS OF ROUND OFF ERRORS WITH REVERSIBILITY TEST AS A DYNAMICAL INDICATOR
• Geometric Numerical Integration
• On the structure of symplectic mappings. The fast Lyapunov indicator: A very sensitive tool

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