运动阻尼对晶体摆动场辐射稳定性的影响

Effects of Motion Damping on the Stability for Crystalline Undulator Radiation

摘要:

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。

Abstract:

From the views of potential and field, taking into account the effects of electron multiple scattering and lattice thermal vibration, the motion equation of particles is reduced into the generalized pendulum equation within the framework of classical mechanics;under the linear approximation, the pendulum equation is reduced furtherly into Mathieu equation with a damping term. By using the method of strained parameters, the transition curves of Mathieu equation are obtained, and the system damping effects on a stability are discussed. The results show that the stability of the system related to damping, and greater damping results in better stability.The results provid a relaxed physical conditions to obtain crystalline undulator radiation.