Gyrotrons as an important power of microwave are applied in radar, commercial sintered,ECRH and so on. Because their broad applications for military and civil, they are took seriously by many countries. This paper based on the linear theory of electron cyclotron, research the theory of coaxial gyrotron which operated at 170GHz, TE3 4,19-mode, analyze and compare the coaxial gyrotron with single electron beam and the coaxial gyrotron with two electron beams.This paper based on the kinetics of electron cyclotron maser,associated with the linear theory of gyrotrons we study the high frequency structure of coaxial cavity for high power gyrotron. Using large volume coaxial cavities can solve the cavity heat but also , an effective way to curb the mode of competition. Due to the inner conductor in cylindrical cavity,mode spectrum will turn to be thinning near operating mode. At first this paper discussed the influence of the ratio of the outer to inner radii to the mode competition in a coaxial gyrotron Giving the dependence of the eigenvalueχmn on the C in a coaxial gyrotron operated at TE3 4,19-mode Second discussing the coupling coefficient, calculating the coupling coefficient of a coaxial gyrotron operated at TE3 4,19-mode and giving the desired radius of beam. The mode of competition in a coaxial gyrotron with single electron beam and with two electron beams is researched. The results of the numerical calculations show that the coaxial gyrotron with two beam have a better performance in mode competition than the coaxial gyrotron with single beam.This paper gave the some parameters of the cavity and beams and applied Magic process simulation work on the coaxial gyrotron with single beam and with two beams. The graphs of the planar and three-dimensional models, output power, operating frequency, voltage and so on are given. The result showed that the operating frequency of the coaxial gyrotron with single beam and with two beams is 170GHz. The coaxial gyrotron with single beam had a 1WM output power. And the coaxial gyrotron with two beam had a output power to be twice as much as the coaxial gyrotron with single beam. Finally the influence of the magnetic field, the beam radius and the velocity ratio of the beam to the power are discussed. |