半导体光电, 2016, 37 (1): 68, 网络出版: 2016-03-22
平均法与晶体摆动场辐射的次共振行为
Average Method and Behavior of Second Resonance for Crystalline Undulator Radiation
晶体摆动场辐射 广义Duffing 方程 平均法 次共振 crystalline undulator radiation generalized Duffing equation average method second resonance
摘要
试图用传统方法把自由电子激光推向更短波长在技术上遇到了严重挑战。利用晶体摆动场辐射作为短波长相干光源引起了人们的广泛注意。利用Lindhard势, 在经典力学框架内把粒子运动方程化为广义Duffing方程, 利用平均法分析了粒子在次共振附近的运动行为; 并对系统的跳跃现象和临界特征进行了讨论。结果表明, 系统的稳定性与其参数有关, 只需适当调节这些参数, 稳定性就可以在原则上得到保证。
Abstract
Serious challenges are encountered in trying to put free-electron laser to shorter wavelengths by traditional methods. Using crystalline undulator radiation as the coherence light source with short-wavelength has aroused widespread attention. The particle motion equation is reduced the generalized Duffing equation within the framework of classical mechanics by Lindhard potential, the behavior of particle motion in the vicinity of the second resonance is analyzed by using the average method, and jumping phenomenon and the critical properties of the system are discussed. The results show that the stability of the system relates to its parameters, this appropriate adjustment of these parameters can guarantee the stability in principle.
李广明. 平均法与晶体摆动场辐射的次共振行为[J]. 半导体光电, 2016, 37(1): 68. LI Guangming. Average Method and Behavior of Second Resonance for Crystalline Undulator Radiation[J]. Semiconductor Optoelectronics, 2016, 37(1): 68.