强激光与粒子束, 2003, 15 (7): 713, 网络出版: 2006-04-28   

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
作者单位
东莞理工学院,计算机系,广东,东莞,523106
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.
Abstract
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.
参考文献

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罗诗裕, 胡西多, 邵明珠, 吴木营, 陈少文. 一维晶化束的辐射能损与束流冷却[J]. 强激光与粒子束, 2003, 15(7): 713. 罗诗裕, 胡西多, 邵明珠, 吴木营, 陈少文. Radiation energy loss and cooling of one-dimensional crystallization beam[J]. High Power Laser and Particle Beams, 2003, 15(7): 713.

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