Possibility of amplification of surface plasmon-polaritons by DC in the system with 2D photonic crystal

The possibility of surface waves amplification by direct electrical current is theoretically investigated in three-layered system with periodical structure at the surface. The analytical calculations were performed in the frame of the Green function method on the base of the concept of effective susceptibility. Numerical analysis clearly proves the presence of convective instability and it means that such a system can be considered as a surface waves' amplifier. Because of periodical structure the phase synchronism domain lies in the range of entirely accessible in practice values of wave vector and frequency. The increment of spatial growth amounts to several tens within the region of phase synchronism. It means that predicted effect of amplification can be applied on practice.