Rigorous Mathematical Model and Simulation for TM Waves in Coaxial Cavity Gyrotron

For the first time rigorous mathematical model is developed for TM modes in a coaxial cavity gyrotron. This theory has no restrictions and can be applied for any corrugation parameters and mode numbers. Simulation software has been developed to find eigen cut-off wave numbers and calculate electromagnetic field components for TM modes. Novel results of the simulations are presented for the ITER relevant 170GHz coaxial cavity gyrotron with the TE_34,19 operating mode