Traveling-wave tube with a dual-plate rippled-wall waveguide

The linearized Lorentz force equation, continuity equation, and Maxwell's equations are used to calculate the system dispersion relations for a traveling-wave tube with a dual-plate rippled-wall waveguide. The system also includes a relativistic electron beam of infinitesimal thickness propagating between the opposing plates. Using this theory, the influences of the system parameters on the beam-wave interaction, especially on the exponential growth rate of the wave, are discussed in detail. This theory is also used to design a large-diameter coaxial traveling-wave amplifier in the 3 cm waveband.