摘要
由于晶体弯曲,系统可能变得不稳定,从而对粒子的沟道效应、沟道辐射以及相关的参数X-射线辐射的稳定性产生影响。在经典力学框架内和偶极近似下,引入正弦平方势,把粒子在弯晶中的运动方程化为具有常数力矩的摆方程。利用系统Ham ilton ian分析了它的稳定性。结果表明,系统的稳定性与弯晶曲率Q有关,当条件0≤Q<1满足时,系统是稳定的。
The system possibly becomes unstable owing to the crystal bend and influence on the stabilities for the channeling effect,the channeling radiation as well as the related parameter X-ray radiation.By introducing sine-squared potential under the classical mechanics frame and dipole approximation,the particle motion equation in the bent crystal is reduced to the pendulum equation with the constant moment.System＇s stability is analyzed by using system Hamiltonian.The result indicates that system＇s stability is related to bent crystal curvature Q,and when the condition 0≤Q1 is met,the system is stable.
出处
《东莞理工学院学报》
2011年第3期34-37,共4页
Journal of Dongguan University of Technology
关键词
弯晶
摆方程
相面积
分支轨道
哈密顿
bent crystal
pendulum equation
phase area
separatrix orbit
Hamiltonian
