摘要
用 Vlasov-Poisson 方程对相对论电子束在单板、双板间的传播过程进行了数值模拟,给出了单板模型空间电荷积累最大的位置,不同位置上的电流 J、电子数密度 n、电场 E 的振荡频率随入射电子数密度 n_0、入射速度 v_0的变化关系,双板模型空间电荷积累最大的位置,J、n、E 的振荡频率随入射流 J_0及两板间距离的变化关系。虚阴极位置的数值结果与稳态理论给出的结果相近,它的振荡频率符合经验公式(1~(2π)^(1/2))ω_(peb)。单板时入射电子数密度按速度服从高斯分布,能散△E_n/E_n<10%时的数值结果给出与单能情况基本相同的结论。
The Vlasov-Poisson equations are used to simulate the propagation processes of relativistic electron beam(REB) in one plate or two plates.The position of cumulative maximum space charge,the oscillating frequency,of current J,elrctron number density n and electric field E in different positions ver- sus injecting electron number density n_0 and injecting electron velocity v_0 in one plate model,and the inject- ing current J_0 and the distance between the two plates in two plates model are investigated.Numerical re- sults of virtual cathode position are closed to the results given by stable theory.Its oscillating frequency is in agreement with the empiric expresion(1~(2π)^(1/2))ω_(peb).Numerical simulation result for injecting elec- tron beam density having Guass distribution for volecity,spread of energy ΔE_n/E_n<10% appears to be in largely conformity with the conclusion of monoenergy case in one plate model.
出处
《计算物理》
CSCD
北大核心
1996年第1期38-42,共5页
Chinese Journal of Computational Physics
基金
中国工程物理研究院科学技术基金资助
关键词
相对论电子束
虚阴极
振荡
微波
relativistic electron beam
vircator
oscillation