Standing waves in a coaxial cavity gyrotron with a corrugated insert

For the first time rigorous mathematical model is developed for standing TE and TM waves in the longitudinal direction in coaxial cavity gyrotron with a corrugated insert. Based on this theory simulations are performed and novel numerical results are presented in particular for the ITER relevant gyrotron developed in FZK Karlsruhe, Germany. Connection between eigenvalues of the traveling waves and eigenfrequencies of the longitudinal standing ones is discussed. Rigorous method to study standing waves in the azimuthal direction is proposed. This technique can be used to design and develop more efficient gyrotrons resonators.