Dispersion Relation of TM Mode Electromagnetic Waves in the Rippled-Wall Elliptical Plasma and Dielectric Waveguide in Presence of Elliptical Annular Electron Beam

The dispersion relation of electromagnetic waves in a rippled-wall elliptical waveguide with a degenerate plasma column protected by an elliptical annular dielectric layer is theoretically investigated. Using the linear field theory, the dispersion relation of electromagnetic waves in a rippled-wall elliptical waveguide with a plasma rod and an elliptical annular dielectric is obtained. In addition, by injecting a finite thick annular intense relativistic electron beam in this waveguide, the dispersion relation of these waves is investigated. In addition, a cold and uniform plasma-filled traveling wave tube with sinusoidally corrugated slow-wave structure is driven by a finite thick elliptical annular intense relativistic electron beam with the entire system immersed in a strong longitudinal magnetic field. Using the linear field theory, the dispersion relation for the elliptical relativistic traveling wave tube is derived.