回旋速调管放大器时域非线性理论与模拟

摘要

研究了一种回旋速调管放大器时域非线性理论模型．该模型由广义电报方程来表示回旋速调管内的电磁场，采用引导中心近似的电子运动方程来推动粒子，由粒子更新得到的电流密度为源激励电磁场．基于上述理论模型，从回旋速调管电子注横向速度满足高斯分布出发，建立了速度分散的分布模型．编写了相应的时域非线性注波互作用模拟程序，对回旋速调管放大器的注波互作用进行了深入的分析和研究，并应用粒子模拟软件与自洽非线性模拟程序进行对比验证，两者结果基本一致．%A time-dependent nonlinear theory for gyroklystron amplifier is presented. The theory includes a time-dependent description of the electromagnetic fields and a self-consistent analysis of the electrons. The generalized telegrapher equations represent the electro- magnetic fields. The equations of motion of the electrons are described in the framework of the guiding-center approximation. All trajectories are calculated and used as current sources for the fields. The nonlinear theory of interaction is investigated in which mode coupling is taken into account in varying wall radius. Transverse velocity of the electrons from the gyroklystron amplifier satisfies Gaussian distribution. Distribution model of the velocity spread in the gyroldystron amplifier beam-wave interaction is established. A code for the self-consistent nonlinear beam-wave interaction is developed based on the presented theory. The electron beam-wave interaction of a Kcr band gyroklystron amplifier is thoroughly studied and analyzed by the code. Numerical verification using MAGIC simulation is also given. The numerical results are in good agreement with the self-consistent nonlinear simulations.