Three-Dimensional Simulation of Free Electron Laser with Prebunching and Efficiency Enhancement

M. Chitsazi, B. Maraghechi, M. Rouhani
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Abstract

Three-dimensional simulation of harmonic up generation in free electron laser amplifier operating simultaneously with a cold and relativistic electron beam is presented in steady-state regime where the slippage of the electromagnetic wave with respect to the electron beam is ignored. By using slowly varying envelope approximation and applying the source-dependent expansion to wave equations, electromagnetic fields are represented in terms of the Hermit Gaussian modes which are well suited for the planar wiggler configuration. The electron dynamics is described by the fully three- dimensional Lorentz force equation in presence of the realistic planar magnetostatic wiggler and electromagnetic fields. A set of coupled nonlinear first-order differential equations is derived and solved numerically. The fundamental and third harmonic radiation of the beam is considered. In addition to uniform beam, prebunched electron beam has also been studied. For this effect of sinusoidal distribution of entry times for the electron beam on the evolution of radiation is compared with uniform distribution. It is shown that prebunching reduces the saturation length substantially. For efficiency enhancement the wiggler is set to decrease linearly when the radiation of the third harmonic saturates. The optimum starting point of tapering and the slope of radiation in the amplitude of wiggler are found by successive run of the code.
具有预聚束和增强效率的自由电子激光三维模拟
在忽略电磁波相对于电子束的滑移的稳态状态下,三维模拟了与冷电子束和相对论电子束同时工作的自由电子激光放大器的谐波上升过程。通过使用慢变包络近似,并将源相关展开应用于波动方程,电磁场以隐士高斯模式表示,这种模式非常适合于平面摆动结构。在实际的平面静磁摆振和电磁场存在下,用全三维洛伦兹力方程描述了电子动力学。导出了一组耦合非线性一阶微分方程,并对其进行了数值求解。考虑了光束的基频和三次谐波辐射。除均匀束外,还研究了预聚束电子束。为此,比较了电子束进入时间的正弦分布与均匀分布对辐射演化的影响。结果表明,预聚束大大减小了饱和长度。为了提高效率,当三次谐波的辐射达到饱和时,将摆动器设置为线性减小。通过对程序的逐次运行,找到了变细的最佳起始点和摆动幅值中辐射的斜率。
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