参数激励与大振幅近似下晶体摆动场的转动解  

Parametric Excitation and Rotation Solution for Crystalline Undulator Field in Large Amplitude Approximation

作　　者：李广明[1] 

机构地区：[1]东莞理工学院计算机学院,广东东莞523808

出　　处：《半导体光电》2015年第2期240-244,249,共6页Semiconductor Optoelectronics

摘　　要：在经典力学框架内和偶极近似下,从势和场的观点出发,把晶体摆动场中的粒子运动方程化为了具有阻尼项和参数激励项的广义Mathieu方程,并对特殊情况下的Mathieu方程、摆方程和倒置摆方程进行了讨论。导出Mathieu方程的三种标准形式,分析了摆方程的三类轨道以及倒置摆的稳定区和不稳定区。用多尺度法找到了纯转动态的近似解和系统的临界曲线。指出了粒子的纯转动态就是准沟道态,准沟道粒子的电磁辐射就是准沟道辐射。From the views of potential and field,the equations of particle motions in the crystalline undulator is reduced to a generalized Mathieu equation with a damping and parametric excitation term in the framework of classical mechanics and dipole approximation.The Mathieu equation,the pnedulum equation and the inverted pendulum equation under special cases are discussed.The three standard forms of Mathieu equation are derived,the three orbits of pendulum equation,stable region and unstable region for inverted pendulum equation are analyzed.The approximate solutions of the pure rotational state and the critical curve for the system are found by using multi-scale method.It is pointed out that the pure rotation states are quasi-channel states,and the electromagnetic radiation of the quasi-channel particle is quasichanneling radiation.

关 键 词：晶体摆动场辐射 准沟道辐射 倒置摆 共振 

分 类 号：O313[理学—一般力学与力学基础] O411[理学—力学]