The three-dimensional whole tube model for an X-band coaxial multi-beam relativistic klystron amplifier is designed.With the integrated model
the high frequency characteristic analysis and the tube are presented.A three-dimensional full electromagnetic particle in cell code is used to simulate the absorption of injected microwave
and the fundamental harmonic modulated current when electron beams propagate through the input cavity and idler cavity gaps have also been simulated.A 1.3GW averaged microwave power over the oscillator period is generated by simulation with 600kV electron beam voltage
5kA current and 0.6T leading magnetic induction intensity
the frequency is 9.37GHz and the efficiency is 43%.