推导出了由两个无量纲量群聚系数与相位系数构成的非线性运动方程,并对其进行了数值计算分析.数值计算结果表明:通过优化设计参数,当谐波回旋速调管工作在放大区时,其基波、二次谐波、三次谐波、四次谐波的纵向互作用效率分别可达到55％,40％,30％,l5％；当其工作在振荡区时,其基波、二次谐波、三次谐波、四次谐波的纵向互作用效率最高分别可达到93.9％,88.2％,81.8％,62.7％.%This article investigates the efficiency optimization of harmonic gyroklystron. The electron beam-wave interaction is characterized by a nonlinear pendulum equation with two dimensionless parameters: a bunching parameter and a relative phase. The efficiencies for the gyroklystron operating at fundamental through fourth harmonic are presented. The numerical results show that the perpendicular efficiencies are higher than 55%, 40%. 30%, and 15% for the fundamental, second, third, and fourth harmonics, respectively, when the harmonic gyroklystron operates in amplifier region; and the perpendicular efficiencies are as high as 93. 9%, 88.2%, 81.8%, and 62.7% for the fundamental, second, third, and fourth harmonics, respectively, when the harmonic gyroklystron operates in oscillator region.
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