Propagation of electromagnetic waves in periodic structures with superconducting layers having electrodynamic parameters in the nonlinearity range of the dynamic mixed state

The propagation of electromagnetic waves in type-II superconductor-insulator periodic structures is studied for the case when the superconductor falls into the nonlinearity range of the dynamic mixed state described in the framework of the Larkin-Ovchinnikov theory. A dispersion relation for waves propagating in different directions is derived. It is shown that the electromagnetic waves can be amplified via interaction with a moving lattice of Abrikosov vortexes.