Chaos in free electron laser oscillators
نویسندگان
چکیده
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. PACS. 05.45.-a Nonlinear dynamics and nonlinear dynamical systems – 82.40.Bj Oscillations, chaos, and bifurcations – 05.45.Pq Numerical simulations of chaotic systems – 42.65.Sf Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics – 41.60.Cr Free-electron lasers – 29.20.Dh Storage rings
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