Numerical calculation of conversion region in cyclotron wave converter

The motion of the electron in the conversion region has been analysed. The equations of the electron motion are given and calculated. The effects of the beam radius, the initial energy ratio, the length of the conversion region and the magnetic field are taken into account in the numerical simulation. When the ratio of the beam radius to the cyclotron radius is 0.25, the ratio of the transversal energy to the longitudinal energy is 2.83, the unitary length is 3 and the nonlinearity coefficient is -0.1, and the conversion efficiency can reach 90%.