Ka回旋行波管自洽非线性注-波互作用研究
Nonlinear Self-Consistent Beam-Wave Interaction Analysis of the Ka Band Gyro-Twt
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摘要: 通过利用场的正交模式展开法求解有源的Maxwell方程,给出了电子对行波场的激励方程,并结合回旋行波管的具体结构与小回旋电子注的特点,在引导中心系中展开场方程,耦合电子运动方程,从而给出了自洽的回旋行波管的非线性方程。给出了速度离散、介质加载、分布加载对回旋行波管自洽方程的修正。编制了非线性程序,通过数值计算给出电流、速度离散、介质加载、分布加载对回旋行波管输出功率的影响;结合小信号理论对自激振荡的研究,利用非线性理论,可以得出在稳定工作条件下回旋行波管的最优化参数,为制管实际提供理论指导与设计参数。Abstract: The performance of the Ka-band gyro-TWT has been evaluated using the self-consistent nonlinear particle-tracing. The normal mode expansion is used to solve the Maxwell equation with source. Through expand the electromagnetic field in guider-center coordinate, and combing with the electron motion equation, the self-consistent nonlinear equation is induced. The velocity spread, dielectric loading, distributed dielectric loading are taken into consideration to modify the self-consistent equation. The relation of output power with current, velocity spread, dielectric loading, and distributed dielectric loading is given through the numerical calculation. Combining the small signal analysis of self-oscillation, the optimum parameter under stable working point can be got from the nonlinear analysis.