弯晶的引出效率与同步加速器的束流动力学稳定性

近年来，弯晶的束流控制技术得到了迅速发展．在加速器物理中，粒子能量和束流强度一直是人们追求的目标，而引出技术和引出效率则是保证柬流强度的关键．在经典力学框架内和偶极近似下，导出了粒子在弯晶中的一般运动方程．在准静态近似下，利用哈密顿原理分析了系统的稳定性；在相空间密度均匀分布假设下，利用相面积概念讨论了弯晶的引出效率．用Melnikov方法描述了系统的混沌行为及临界性质，给出了常曲率和变曲率弯晶的退道长度．

The extraction efficiency of bent crystal and beam dynamic stability for synchrotron

In recent years, the control technology of beam by bent crystal has been developed rapidly. In accelerator physics, the particle energy and the beam intensity are looked into one goal, and extraction technology and extraction efficiency are the keys to ensure the beam intensity. Within the framework of classical mechanics and in the dipole approximation, the general motion equation of the particles in the bent crystal is derived. In the quasi-static approximation, the stability of the system by using Hamilton＇s principle is analysed. In the uniform distribution assumption of the phase space density, the extraction efficiency in the bent crystal by the concept of phase area is discussed. We describe the chaotic behavior and the critical properties of the system by Melnikov method and give the dechannelling length of the bent crystal with the constant curvature and variable curvature.