Journal of Applied Physics · 2005 · 48 citations · 12 references
EngineeringElectrical EngineeringAnalog ElectronicsCircuit TheoryMicroelectronicsMagnetic Circuit AnalysisMicrowave OscillatorsExperimental StudiesInjection LockingPhase LockingPhase-locked OscillatorsPhase-locking MechanismsSimplified Models
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.
12
A study of locking phenomena in oscillators
R. Adler · Proceedings of the IEEE · 1973 · 956 citations
A 3(2) pair of Runge - Kutta formulas
P. Bogacki, L. F. Shampine · Applied Mathematics Letters · 1989 · 552 citations
The Nonlinear Theory of Electric Oscillations
Balth. van der Pol · Proceedings of the IRE · 1934 · 470 citations
Phase Locking of Relativistic Magnetrons
James Benford, H. Sze, W. Woo et al. · Physical Review Letters · 1989 · 167 citations