Synchronization of Self-Heated Josephson Junctions by a Superconducting Resonator

Experiments on emission of coherent radiation from thick mesa structures of high-temperature superconductors showed that the structure acts like a resonator and that there is strong self-heating of intrinsic Josephson junctions. We considered analytically basic conditions of synchronization of the self-heated stack of two junctions in a resonator using the method of slowly varying amplitudes. We calculated the changes of the temperatures of junctions and the changes of their IV-characteristics due to self-heating in the region of the resonance frequency.