扇形腔旭日型磁控管结构的理论分析与数字模拟

利用场分析法推导了扇形腔旭日型磁控管的色散关系, 通过CST模拟软件验证了理论推导的正确性, 分析了扇形腔旭日型磁控管的各项结构参数对π 模截止频率和模式分隔度的影响. 研究表明: 色散关系的理论值与模拟值之间的最大相对误差不到3%, π 模截止频率的理论值与模拟值之间的最大相对误差不到1%; π 模截止频率f_πc与阴极半径R_c, 阳极半径R_a, 大腔张角2θ₁成正比关系, 与小腔半径R_d0, 大腔半径R_d1, 小腔张角2θ₀成反比关系, 这一定性结论与同腔型磁控管的定性结论并不完全一致; 在径向比较上, 结构参数对频率的影响由大到小依次为: 阳极半径, 大腔半径, 小腔半径和阴极半径; 在角向比较上, 大腔张角对频率的影响较大, 小腔张角对频率的影响较小; 另外, 模式分隔度γ 与大腔半径R_d1成正比关系, 与阴极半径R_c, 小腔半径R_d0, 小腔张角2θ₀成反比关系, 随阳极半径R_a或大腔张角2θ₁的增大先增大后减小. 关键词： 旭日型磁控管 扇形谐振腔 色散关系 场分析法

Theoretical analysis and numerical simulation of rising sun magnetron with sector cavities

Field analysis method is used to deduce the dispersion relation of rising-sun magnetron with sector cavities, which is proved correct by the high frequency field analysis software, and the influence of each structure parameter of the magnetron on the cutoff frequency of π mode and the mode isolation is investigated. The results show that the relative errors between the theoretical values and the simulation values of the dispersion relation are less than 3%, and the relative errors between the theoretical and simulation cutoff frequencies of π mode are less than 1%. Cutoff frequency of π mode is in direct proportion to the cathode radius R_c, anode radius R_a and big cavity angle 2θ₁, but in inverse proportion to small cavity radius R_d0, big cavity radius R_d1 and small cavity angle 2θ₀. However, these qualitative relationships are not entirely consistent with those of the same cavity magnetron. In radial orientation, the structure parameters, the influence of which on frequency is sorted in descending order, are as follows: anode radius, big cavity radius, small cavity radius and cathode radius. In angular orientation, the influence of big cavity angle on frequency is greater than that of small cavity angle. In addition, mode isolation γ is in direct proportion to big cavity radius R_d1, but in inverse proportion to cathode radius R_c, small cavity radius R_d0, and small cavity angle 2θ₀, and it increases first and then decreases with the increase in anode radius R_a or big cavity angle 2θ₁.
Keywords： rising-sun magnetron sector cavity dispersion relation field analysis method