Self-consistent nonlinear numerical simulation of millimeter wave gyro-klystron amplifiers
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摘要: 为了实现回旋速调管放大器的快速设计，基于经典的回旋管的稳态单模非线性理论方法，开展了回旋速调管放大器的束波作用效率的理论模拟研究。由于单模理论无法匹配回旋速调管放大器的输入腔、中间腔两端的突变边界条件，所以输入腔与中间腔都只能采用给定场法进行求解。回旋速调管的输出腔的功率输出端通常采用缓变结构，这种腔体可以采用单模自洽理论进行求解。对两腔毫米波回旋速调管放大器进行了理论模拟，并与商业粒子模拟软件的结果进行对比，验证了该数值理论模拟方法的有效性。Abstract: To realize quick design of the gyro-klystron amplifiers, a kind of numerical simulation method based on the single mode self-consistent nonlinear theory of gyrotrons was investigated. The single mode theory can’t be used to match the disrupt boundary conditions of the input and the middle cavities of the gyro-klystrons, thus the input and the middle cavities can only be processed through single mode theory based on given field distributions. As for the output cavities with smooth boundaries at the power output ends, the single mode nonlinear simulation could be self-consistent. A millimeter wave two cavity gyro-klystron amplifier with reported detailed parameters was simulated using the developed single mode theory. The effectiveness of the numerical simulation was verified by comparing the simulation results with those obtained in a commercial particle in cell (PIC) simulation tool.
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图 2 Ka波段两腔二次谐波回旋速调管放大器PIC模型
Figure 2. PIC model of a Ka band two cavity second harmonic gyro-klystron amplifier
图 3 Ka波段两腔二次谐波回旋速调管放大器输入腔内的电子效率
Figure 3. Electronic efficiency in input cavity of the Ka band two cavity second harmonic gyro-klystron amplifier
图 4 Ka波段两腔二次谐波回旋速调管放大器不同位置处的电子相空间图
Figure 4. Electron phase space at different stage of the Ka band two cavity second harmonic gyro-klystron amplifier
表 1 Ka波段两腔二次谐波回旋速调管放大器参数
Table 1. Parameters of a Ka band two cavity second harmonic gyro-klystron amplifier
stage radius/mm length/mm Q frequency/GHz input 9.77 20.6 300 35.0 output 9.66 25.3 610 34.96 drift 7.0 122 
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