In the gyrotron traveling wave amplifier (gyro-TWA), high loss dielectric materials loaded in a cylindrical waveguide are adopted to suppress the unwanted parasitic oscillations. It is of great importance to accurately understand the relative permittivity r and tan δ for studying the microwave and millimeter wave dispersion, and loss properties of a specific mode. The high lossy dielectric loaded circuits of the gyro-TWAs made of the BeO-SiC ceramic are theoretical calculated, simulated, and measured. The field distribution, dispersion, and loss properties of three different dielectric loaded circular HE d 12 , HE d 22 , and TE d 02 modes (corresponding to the TE 11 , TE 21 , and TE 01 modes in the smooth hollow cylindrical waveguide respectively) in different frequency bands are respectively investigated. The theoretical analysis, simulation, and measurement results have a good agreement. This work has clear guiding significance for the stable work of gyro-TWAs.