Dispersion characteristics of TE waves in beam-loaded corrugated waveguides with losses

A universal method based on an eigenfunction expansion and the linearized Vlasov equation is used to study the dispersion relation and the field distributions of TE modes for beam-loaded circumferentially corrugated waveguides at the small-signal regime. The possible interaction regions are studied and the growth rate of the emerging modes is presented for geometries with and without losses. The effect of the losses is examined, whereas the possibility of the evolution of TE modes in a lossy structure like a gyrotron beam tunnel is discussed.