Slow Wave Nonlinear Multi-Mode Time Dependent Theory of Coaxial Cavity Gyrotrons Based on Singular Integral Equation Method

Inhalt:
The self-consistent nonlinear theory of RF generation in a coaxial gyrotron cavity with a corrugated insert is developed. The obtained system of nonlinear equations in slow variables is useful for analysis of the mode competition scenario in coaxial gyrotron cavities with corrugated inner conductors. It takes into account multi-frequency content of the field as well as higher spatial harmonics of the field which occur at each frequency. The beam-wave coupling coefficients are investigated numerically for parameters of the ITER relevant 2 MW, CW 170 GHz coaxial cavity gyrotron designed for operation on the T?-34,19 mode. Results of the analysis show that the strongest concurrence may occur between T?-34,19 and T?-33,19 modes, what is in a good agreement with experimental data.