A magnetron-specific phase-locking model has been developed using the standard equivalent-circuit approach, which takes into account the unconventional magnetron growth characteristics as well as the frequency pushing effect. These effects owe their origin to the highly nonlinear electron-wave interaction; thus, they are believed to be more pronounced in relativistic magnetrons. The model predicts a wider locking bandwidth and a shorter locking time than those in conventional locking theory. The phase-locked amplitude resonance occurs, as the results indicate, at an injection frequency different from that of the free-running oscillator.
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