磁绝缘传输线振荡器中辐射场的非线性行为
Nonlinear behavior of the radiation field in MILO
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摘要: 导出了磁绝缘传输线振荡器(MILO)中辐射场的非线性演化方程，并讨论了在临界值点附近可能出现非线性不稳定解的条件。结论是：(1)非线性增长速率与线性增长速率的比值g<1.2，且远离g+γ=1(γ为非线性相位增长率与线性相位增长率的比值)点时，出现非稳定解的失谐量临界值很小，而线性增长速率临界值临界值很大，容易出现非稳定解；(2)当g≥1.2时，任意小的失谐量都可以使场出现非稳定解；(3)线性增长速率越大，越不容易出现非稳定解。Abstract: A nonlinear evolution equation for the radiation field in magnetically insulated transmission line oscillator (MILO) is derived and the threshold conditions of the nonlinear unstable solution are studied. The results show: (1) The instability will arise when the ratio of the nonlinear growth rate to the linear growth rate is lower than 1.2 even if the detuning is arbitrarily slight. (2) If the value of g and γ (the ratio of the nonlinear growth rate to the linear growth rate for the phase) is far from g+γ=1, the instability arises easily because of the critical value of detuning becoming smaller and the critical value of linear growth rate becoming larger. (3) For the larger linear growth rate, the instability solution is relatively difficult.
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