利用自洽线性场理论，普遍讨论了扰动电磁场作用下的电子三维扰动，然后就介质切伦可夫脉塞中常用的两种相对论电子注，即环形相对论电子注和实心相对论电子注的注波互作用进行了详细的分析，分别导出了对应于这两种相对论电子注的注波互作用色散方程，并求得了波增长率，计算和分析了这两种相对论电子注的半径对互作用波增长率的影响．本文的工作为此类器件的工程设计提供了一定的理论依据． Using the self-consistent linear field theory, the three-dimensional perturbations of the electron under perturbed electromagnetic fields are discussed in general. Then, two relativistic electron-impulses, the relativistic electron annotation and the solid relativistic electron annotation The interaction between these two relativistic electron annihilates has been deduced. The wave propagation rates of these two relativistic electron annihilates have been deduced, and the wave growth rates have been calculated. Effect of growth rate. The work in this paper provides a theoretical basis for the engineering design of such devices.