Modeling of magnetron injection locking characteristics

Summary form only given. Phase-locking is utilized today in many important applications, ranging from small scale devices such as cardiac pacemakers to large scale devices such as radar. In the development of high power microwave sources, phase-locking of relativistic magnetrons has also been extensively studied. Conditions for phase-locking usually involve the well-known Adler's relation, which predicts the amount of input power required for phase-locking. A phase-locking model has been developed from circuit theory to qualitatively explain the various regimes observed in magnetron injection-locking experiments. The experiments utilize two continuous wave oven magnetrons; one functions as an oscillator and the other as a driver. The model includes both magnetron-specific electronic conductance and frequency pulling parameter. Both time and frequency domain solutions are developed from the model, allowing investigations into the growth and saturation as well as the frequency response of the output signal. This simplified model recovers qualitatively many of the phase-locking frequency characteristics observed in the experiments