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在经典锁相理论Adler条件基础上,考虑到相对论磁控管互作用空间内高度非线性的束波互作用,用粒子模拟方法得出了磁控管注入式锁相模型的注入比和频率差的参数区域图,研究了注入比和频率差对锁相的影响。模拟结果表明,在相对论磁控管的谐振频率为2.4667GHz情况下,当注入比为0.25、频率差为35MHz或20MHz、注入比为0.15都可以实现稳定锁相。在此基础上对经典的Adler条件引入了非线性参数修正,其取值与器件工作时的非线性程度有关,基于本文模型得到的非线性参数约为7,可见修正后的理论结果比经典理论结果允许有更大的锁相范围。
Based on the classic phase-locked theory Adler condition, taking into account the highly nonlinear beam-wave interaction in the space of interaction of relativistic magnetrons, the injection ratio and frequency difference of magnetron-implanted phase locked model The parameters of the regional map to study the injection ratio and frequency difference on the phase-locked. The simulation results show that when the resonant frequency of the relativistic magnetron is 2.4667GHz, stable phase-locking can be achieved when the injection ratio is 0.25, the frequency difference is 35MHz or 20MHz and the injection ratio is 0.15. On the basis of this, a nonlinear parameter correction is introduced into the classical Adler condition, whose value is related to the degree of non-linearity of the device. Based on this model, the nonlinear parameter is about 7, which shows that the modified theoretical result is better than classical theory The result allows a larger range of lock-in.