研究了螺旋线行波管中电子注与高频场互作用的时域理论.电子对场的作用由高频场方程和空间电荷场方程模拟,场对电子注的作用由运动方程模拟.在螺旋导电面模型下利用安培环路定理和法拉第电磁感应定律得到了时域高频场方程.利用空间电荷波模型处理空间电荷场,得到了空间电荷场方程.将高频场和空间电荷场代入洛伦兹力方程,得到了运动方程.利用耦合阻抗处理高频场方程的激励源,使得高频场方程的求解能够借助诸如HFSS或HFCS等高频模拟软件来实现,增强了时域理论的灵活性.基于上述理论,编写软件数值模拟某螺旋线行波管,验证了时域理论的可行性.
A time-dependent theory for helix traveling wave tubes in beam-wave interaction is presented.The effect of wave on electrons is described by radio frequency(RF) field equations and space charge(SC) field equations,while the effect of electrons on waves is described by electron dynamic equations.The RF field equations are achieved from Ampere's law and Faraday law,combined with sheath helix model RF field.The SC field equations are achieved from a space charge wave model.The electron dynamic equations are achieved by substituting the RF field equations and the SC field equations into the Lorenz force equation.Using coupling impedance to treat exciting sources of RF field equations,the RF and the SC field equations can be solved with the help of high frequency simulation software,such as HFSS or HFCS,which makes this time-dependent theory more flexible.The feasibility of this theory is proved by numerical simulation.