Nonlinear Phenomena in Complex Systems, 2007, Vol.10, No.3, pp.297-302

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2007, Vol.10, No.3, pp.297-302

Volume Free Electron Laser (VFEL) as a Dynamical System.
S. Sytova

At the present time Volume Free Electron Lasers (VFEL) with volume distributed feedback (VDFB) are developed actively. It was shown that VFEL is a dynamical system that has different bifurcation points depending on various VDBF and other VFEL parameters. Nonlinear phenomena originating in VFEL are investigated by methods of mathematical modelling using computer code VOLC. Parametric map for beam current and detuning parameter from exact Cherenkov condition presents complicated root to chaos in two-wave VFEL in Bragg geometry and oscillator generation regime. This root is carried out via period-doubling cascade and quasiperiodicity.
Key words: Volume Free Electron Laser, quasi-Cherenkov instability, numerical modelling, nonlinear integro-differential system, bifurcations

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