Chaos in free electron laser oscillators
C. Bruni, R. Bachelard, D. Garzella, G. L. Orlandi, and M. E. Couprie
TL;DR
This paper investigates the chaotic behavior of storage-ring Free Electron Lasers, revealing low-dimensional dynamics and demonstrating chaos through Lyapunov exponents, period-doubling, and intermittence as parameters vary.
Contribution
It provides the first detailed analysis of chaos in FEL oscillators, identifying low embedding dimensions and routes to chaos in these systems.
Findings
Low embedding dimension of FEL dynamics
Positive Lyapunov exponent indicating chaos
Period-doubling cascade observed
Abstract
The chaotic nature of a storage-ring Free Electron Laser (FEL) is investigated. The derivation of a low embedding dimension for the dynamics allows the low-dimensionality of this complex system to be observed, whereas its unpredictability is demonstrated, in some ranges of parameters, by a positive Lyapounov exponent. The route to chaos is then explored by tuning a single control parameter, and a period-doubling cascade is evidenced, as well as intermittence.
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