Mutual phase locking of two gyrotrons coupled with delay

Abstract

Mutual phase locking of gyrotrons is important for power combining applications, especially for electron-cyclotron-resonance plasma heating. In this paper, a model of two coupled gyrotron oscillators is developed and basic properties of the phase locking are studied. Time delay of the coupling signal traveling between two gyrotrons strongly affects the pattern of phase-locking regimes. The model is described by two delay-differential equations (DDEs). Domains of in-phase and anti-phase synchronization are calculated. The results of theoretical analysis are verified by numerical simulations of the DDEs.