Coherent phenomena in a layered superconducting metamaterial

The model of a superconducting metamaterial, which is a disordered lattice of Josephson junctions, has been studied theoretically and by computer simulation. The aim of this work is to reveal and analyze the conditions under which the generation frequencies of constituting junctions are locked in the system under study placed in a spatially nonuniform magnetic field. The main result is the demonstration of the possibility of locking of the generation frequencies of junctions in individual layers of the system under study. This result is particularly important in view of the possibility of the use of superconducting metamaterials for the creation of devices, in particular, generators capable of working in the terahertz frequency range.