4MeV自由电子激光放大器电子轨迹的理论分析

计算物理 ›› 1989, Vol. 6 ›› Issue (4): 477-485.

4MeV自由电子激光放大器电子轨迹的理论分析

王泰春, 董志伟, 杨震华, 田世洪

北京应用物理与计算数学研究所

收稿日期:1988-12-07 出版日期:1989-12-25 发布日期:1989-12-25

THEORETICAL ANALYSIS OF THE ELECTRON TRAJECTORIES FOR 4MeV FEL AMPLIFIER

Wang Taichun, Dong Zhiwei, Yang Zhenhua, Tian Shihong

Institute of Applied Physics and Computational Mathematics, Beijing

Received:1988-12-07 Online:1989-12-25 Published:1989-12-25

摘要/Abstract

摘要： 本文用WKB目的推导了Wiggler磁场和电子能量γ(以m₀c²作单位)为变数情况下的电子betatron运动方程组的解析解。利用解析公式分析了电子逸出波导管外的原因,并把解析解的结果与WAGFEL程序的模拟结果进行了比较,在一定条件下两种结果符合较好。

Abstract: In this paper, the analytical solutions of equations of electron betatron motion are derived by W·K·B method for parameters of varyable B_wand γ. with the formula, the reasons that electrons run out of the waveguide are analyzed. Meanwhile, we have compared the analytical results with those which are simulated by WAGFEL code Under certain conditions, analytical results coincide with simulation results well.

Key words: rectangular waveguide, electron trajectories, betatron motion, W·K·B method

王泰春, 董志伟, 杨震华, 田世洪. 4MeV自由电子激光放大器电子轨迹的理论分析[J]. 计算物理, 1989, 6(4): 477-485.

Wang Taichun, Dong Zhiwei, Yang Zhenhua, Tian Shihong. THEORETICAL ANALYSIS OF THE ELECTRON TRAJECTORIES FOR 4MeV FEL AMPLIFIER[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1989, 6(4): 477-485.