The effect of delayed reflection on frequency stabilization and pulling in a gyrotron oscillator is studied. Simple theoretical formulas for start-oscillation current, oscillation frequency, and frequency stabilization rate are derived in the framework of the linear (or small-signal) theory and verified by numerical simulation for the gyrotron with fixed axial profile of the RF field. Capabilities of increasing frequency stability are analyzed. A possibility of expanding frequency tunability range owing to excitation of high-order axial modes is demonstrated.

中文翻译：

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延迟反射回旋加速器中频率稳定和牵引效应的理论分析

研究了延迟反射对回旋振荡器中频率稳定和牵引的影响。在线性（或小信号）理论的框架内，得出了有关起始振荡电流，振荡频率和频率稳定率的简单理论公式，并通过对具有固定射频场轴向分布的回旋管进行了数值模拟验证。分析了增加频率稳定性的能力。演示了由于激励高阶轴向模式而扩大频率可调范围的可能性。