Possibility of surface plasmon-polaritons amplification by direct current in two-interface systems with 2D Bragg structure on the surface

The method for calculation of the local field factor that describes electrodynamical properties of three-layered systems with 2D photonic crystal is proposed. Analytical calculations are performed in the frame of Green function method on the base of the effective susceptibility concept. The possibility of surface waves amplification by direct electrical current in the systems under consideration is studied. Numerical analysis clearly proves the presence of convective instability. It means that three-layered systems 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 experimental setup and real systems parameters for observation of surface waves amplification effect are discussed.