Photonic Crystal Application for Microwaves Output Induced by the Beam-Plasma Instability in the Absence of Ions

In this paper we propose the application of photonic crystal structure for amplification of microwave oscillations in relativistic electron beam induced by the beam-plasma instability in the absence of ions. Previously, it has been shown that interaction between the electron beam and charged high-dense electron plasma represents a mechanism for microwaves generation in the range of 18-40 GHz depending on beam current and energy. From this point of viewpoint application of photonic crystal as an output electrodynamical structure seems to be a prospective way to gain the amplitude of longitudinal space-charge waves in the electron beam. So, this study aims at the model development and numerical particle-in-cell simulation of the described microwave system to consider its efficiency gain by means of photonic crystal.