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

Autor:	Gradoni, Gabriele, Panichi, Federico, Turchetti, Giorgio
Rok vydání:	2021
Předmět:	Nonlinear Sciences - Chaotic Dynamics Mathematics - Dynamical Systems Physics - Optics
Druh dokumentu:	Working Paper
DOI:	10.1063/5.0043782
Popis:	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. Comment: 16 pages, 10 figures, submitted to Chaos
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2101.04589 Zobrazit plný text záznamu View this record from Arxiv