一维晶化束的辐射能损与束流冷却  

Radiation energy loss and cooling of one-dimensional crystallization beam

作　　者：罗诗裕[1] 胡西多[1] 邵明珠[1] 吴木营[1] 陈少文[1] 

机构地区：[1]东莞理工学院计算机系,广东东莞523106

出　　处：《强激光与粒子束》2003年第7期713-716,共4页High Power Laser and Particle Beams

摘　　要：　用Jacobian椭圆函数求解了一维晶化束的非线性动力学方程,并用第一类全椭圆积分表示了粒子振动周期。在经典物理学框架内,讨论了储存环中作相对论运动的带电粒子的辐射能损,以及由于辐射能损导致的束流冷却。结果表明,由于辐射损失束流将进一步冷却。Suppose only the focussing and the Coulomb force act on an ion, where the focussing force is linear and the Coulomb force is nonlinear. When the two forces are balanced, the critical spacing between ions can be obtained. In this paper the radiation energy loss and the cooling of the onedimensional crystallization beam are discussed. The coherent transverse equation of particle motion has been reduced to Duffing equation with the hardspring properties in the frame of Newton mechanics. This nonlinear equation has been solved exactly by a Jacobian elliptical function, and the motion period of a particle has been expressed exactly by the firstkind complete elliptical integral. The energy loss and the beam cooling by the electromagnetic radiation of a charged particle in a storage ring have been discussed in a superrelativistic case. It is that the radiation energy loss of the onedimensional crystallization beam will result further in the beam cooling.

关 键 词：一维晶化束 非线性动力学方程 第一类全椭圆积分 带电粒子 储存环 相对论运动 辐射能损 束流冷却 

分 类 号：TL501[核科学技术—核技术及应用] TL594