The model of Josephson junction arrays embedded in resonant cavities and the phase-locking properties

We propose a new model of a Josephson junction array embedded in a resonant cavity. The model considers the excitation of the resonance mode by the array and the influence of the resonance mode on the array. The phase-locking properties of the junction array are investigated in the frame of the model. Resonant steps in the current-voltage characteristics due to the interaction between the array and the resonant cavity and many other features of the phase-locking behaviors have been produced. The results include the influence of the quality factor, the strength of the coupling, as well as the junction number of the array on the phase-locking properties. The model can successfully explain many features of the real situation and provide useful new predictions.