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利用场论的方法推导了6腔扇形腔结构相对论磁控管的色散关系,并用牛顿迭代法对色散关系进行了求解,得到了色散关系曲线.利用三维PIC粒子模拟,对该结构的相对论磁控管分别进行了冷腔和热腔研究,冷腔研究得到了兀模谐振频率为2.42GHz,与本文理论推导的色散关系有很好的一致性.在热腔情况下,电子能量为437keV,电子束流为12.2kA,外加磁场为0.6T,模拟得到了频率为4.5GHz,平均峰值功率为0.96GW的C波段的高功率微波输出,分别通过相空间图和不同腔内射频场随时间的变化曲线可以确定器件工作在2π模,效率约为18%,且频谱纯净.当进一步对参数进行优化后,在注入的电子能量和电子束流分别为1.05MeV和20.TkA,外加磁场为0.7T时,得到平均功率达到约4.4GW,频率为4.37GHz微波输出,效率约为20%.
The dispersion relation of relativistic magnetrons in a 6-cavity fan cavity was derived by using the field theory, and the dispersion relation was solved by the Newton iteration method, and the dispersion relation curve was obtained. Using the three-dimensional PIC particle simulation, the relativistic magnetron In the cold cavity, the resonant frequency of the Wu-mode resonator is 2.42 GHz, which is in good agreement with the theoretical dispersion derived from this paper. In the case of a thermal cavity, the electron energy is 437 keV and the electron The beam current is 12.2kA and the applied magnetic field is 0.6T. The C-band high-power microwave output with a frequency of 4.5GHz and an average peak power of 0.96GW is simulated. The phase-space and RF- The curve confirms that the device operates at 2π mode and the efficiency is about 18%, and the spectrum is pure.When the parameters are further optimized, the injected electron energy and electron beam current are 1.05MeV and 20.TkA, respectively, and the applied magnetic field is 0.7T When the average power to get about 4.4GW, the frequency of 4.37GHz microwave output, the efficiency of about 20%.