This article establishes a physical model of the interaction between surface electron beams and plasma. The dispersion relationship of beam plasma interaction was derived using perturbation method and field matching method respectively, and the influence of different parameters on radiation frequency and bandwidth was studied. The results show that the higher the electron beam velocity, the greater the kinetic energy, and the maximum radiation frequency and radiation bandwidth in the high-frequency part also increase accordingly, while the radiation width in the low-frequency part decreases. The higher the plasma density, the greater the maximum value of the generated radiation frequency, but the radiation bandwidth of the high-frequency part correspondingly decreases, while the radiation bandwidth of the low-frequency part increases. When the electron density and electron velocity of the electron beam remain constant, although increasing the plasma density can increase the microwave radiation frequency, there exists a threshold for the plasma density. When the threshold is exceeded, high-frequency electromagnetic waves will not be radiated.