晶体摆动场辐射与共振线附近的动力学行为

在人们寻找新光源,特别是短波长激光光源的探索中弯晶起到了十分重要的作用,参数X-射线辐射射和晶体摆动场辐射引起了人们极大注意。为了成功获得参数X-射线辐射和晶体摆动场辐射,系统必须是稳定的。分析了晶体弯曲、辐射衰减、晶格热振动、电子多重散射和相互作用的非线性等因素对系统稳定性的影响。在经典力学框架内和小振幅近似下,把粒子运动方程化为了具有阻尼项、受迫项和固定力矩的广义摆方程。用摄动法讨论系统在1/2和1/3超共振附近的运动行为,发现了共振曲线的后弯和跳跃现象。临界条件的分析表明,系统的稳定性与它的参数有关,适当调节系统参数,就可以保证系统是稳定的。

Crystalline Undulator Radiation and Dynamic Stabilities Near Superharmonic Resonance

Bent crystals play an important role in searching for new light sources,particularly for short-wavelength laser light source.The parametric X-ray radiation and the crystalline undulator radiation have aroused great attention.In this paper,the effects on stabilities of the system by the factors of crystal bending,radiation attenuation,lattice thermal vibrations,electron multiple scattering and the nonlinearity were analyzed.In the framework of classical mechanics and the small amplitude approximation,the equation of particle motion was reduced to the generalized pendulum equation with damping term,forced term and fixed moments.The motion behavior of the system near the 1/2 and 1/3 superharmonic resonance by using the perturbation method was discussed,and the bend and jump phenomena of the resonance curve were found.The analysis on the critical conditions shows that the system stability relates to its parameters,so appropriate adjustment of system parameters can ensure the stability of the system.