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Propagation of rays in 2D and 3D waveguides: a stability analysis with Lyapunov and Reversibility fast indicators
preprintposted on 2023-01-11, 21:46 authored by Gabriele Gradoni, Federico Panichi, Giorgio Turchetti
Propagation of rays in 2D and 3D corrugated waveguides is performed in the general framework of stability indicators. The analysis of stability is based on the Lyapunov and Reversibility error. It is found that the error growth follows a power law for regular orbits and an exponential law for chaotic orbits. A relation with the Shannon channel capacity is devised and an approximate scaling law found for the capacity increase with the corrugation depth.