arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1404.0923physics.acc-ph
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横梁动力学导论

Introduction to Transverse Beam Dynamics

B. J. Holzer

摘要:

在这一章中,我们将介绍同步加速器或储存环中粒子的横向动力学。重点是更多的定性理解,而不是在数学上的正确性,和一些模拟被用来证明粒子的物理行为。从设计储存环几何的基本原则出发,讨论了储存环中粒子的横向运动,推导了运动方程,并给出了典型储存环单元的解。按照通常的治疗在文献中,我们提出了第二种方式来描述粒子束,使用的概念的粒子系综和β函数,它反映了整体的聚焦性能的环的发射度。绝热收缩由于刘维尔定理进行了讨论,以及在最简单的情况下的色散效应。

英文摘要:

In this chapter we give an introduction to the transverse dynamics of the particles in a synchrotron or storage ring. The emphasis is more on qualitative understanding rather than on mathematical correctness, and a number of simulations are used to demonstrate the physical behaviour of the particles. Starting from the basic principles of how to design the geometry of the ring, we review the transverse motion of the particles, motivate the equation of motion, and show the solutions for typical storage ring elements. Following the usual treatment in the literature, we present a second way to describe the particle beam, using the concept of the emittance of the particle ensemble and the beta function, which reflects the overall focusing properties of the ring. The adiabatic shrinking due to Liouville's theorem is discussed as well as dispersive effects in the most simple case.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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