Abstract
The numerical computation of Kolmogorov entropy is used to study the dynamical stability of a free-electron laser with a planar wiggler. Axial magnetic field and ion-channel guiding are examined as two different types of focusing mechanism for confinement of the electron beam against its self-fields. It was found that the dynamical stability of electron trajectories decreases profoundly near the resonance region. Self-fields increase the dynamical stability in group I orbits and decrease it in group II orbits. These orbits are defined according to their axial magnetic field or ion-channel density.
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