Linear and nonlinear analyses on gyropeniotron in a rectangular waveguide

The dispersion equation of the gyropeniotron using TE_n0 mode in a rectangular waveguide is derived in this paper. Through detailed numerical calculations of the dispersion equation using the TE₂₀ mode, dispersion curves of the peniotron are obtained. Some clear viewpoints are proposed here. In the nonlinear analysis, the model is assumed to be a rectangular cavity with two close ends, constant DC magnetic field and an axis-rotating electron beam. The analytical results of the peniotron using the TE₂₀₁ cavity mode assuming two operating conditions of ω = ω_c, and ω 3ω_c show 51% efficiency for to ω ω_c and 11% efficiency for ω3ω_c.