Study on transient nonlinear theory of beam-wave interaction for gyroklystron

A transient analysis in time domain of beam-wave interaction for gyroklystron is made with self-consistent field theory in this paper. A nonlinear theory for gyroklystron with multiple cavities is established, but also electron motion equations and transient electromagnetic field equations with a complex form are given. For example a gyroklystron with four cavities,Some numerical results of beam-wave interaction are given,and analyzed at last. The numerical results are compared with the experimental data, which showed that good agreements were obtained in the condition of failure to take into speedspread.