从势和场的观点出发,考虑电子多重散射和晶格热振动的影响,在经典力学框架内,把粒子的运动方程化为广义摆方程;在线性近似下,把摆方程化为带有阻尼项的Mathieu方程。用变形参数方法求出了Mathieu方程的过渡曲线,讨论系统阻尼对稳定性的影响。结果表明,系统的稳定性与阻尼有关,阻尼越大稳定性越好。为晶体摆动场辐射的获得提供了较为宽松的物理条件。 From the viewpoint of potential and field, considering the influence of electron multiple scattering and lattice thermal vibration, the motion equations of particles are transformed into generalized pendulum equations in the framework of classical mechanics. Under linear approximation, Mathieu equation of item. The transition curve of Mathieu equation is obtained by the method of deformation parameters, and the influence of system damping on stability is discussed. The results show that the stability of the system is related to the damping, and the greater the damping, the better the stability. The crystal oscillator field radiation provides a more relaxed physical conditions.