电磁波Wiggler中的电子轨迹与变γ特性

本文在将相对论因子γ考虑为变量情况下,分析了电磁波Wiggler并具有轴向导引场自由电子激光中的电子轨道特性。结果表明,对应不同条件,电子轨道将分别为不稳定、不规则或环状包络形。给出γ不变,得到圆状投影轨道时的条件。

Electron orbits and variation character of γ in electromag-netic wigglers

The electron trajectories in free-electron lassers with an electromagnetic wiggler and an axially guided magnetic field are analysed with the rolativistie factor variable γ, which were usually assumed to be constant and the equations were linearized. A solution of the nonlinear relativistic equations of motion for such a system is presented. The results show that the electron trajectories are unstable, irregular, ring-shaped, corresponding to Ω0/(γ0ω)=, ≈, or (1+υ30) respectively. The condition for constant γ and hence a circle projected trajectory is given.