Excitation of slow EM waves in a plasma-filled, dielectric lined waveguide

In this paper an excitation of Cherenkov radiation by a thin annular relativistic electron beam in a plasma-filled, dielectric-lined waveguide is analysed by use of the self-consistent linear theory. The effect of the thin annular electron beam on the beam-wave interaction is completely described by a jump condition. The dispersion equation and the simultaneous condition of the beam-wave interaction are derived. Finally, the growth rate of the wave, is obtained, and the effect of the background plasma density and the electron beam radius on the growth rate of the wave are presented.