论文标题
非线性光束动力学的首次味道
A first taste of nonlinear beam dynamics
论文作者
论文摘要
非线性动力学可以以多种不同方式影响粒子加速器的性能，具体取决于加速器的类型和其操作的参数制度。效果的范围从梁特性或行为的微小变化到对梁稳定性和机器性能的严重限制。在这些注释中，我们简要介绍了加速器中的非线性动态。在回顾了线性动力学的一些相关结果之后，我们概述了非线性动力学的一些主要思想，并在两个不同类型的加速器示例的上下文中构建了讨论：一个单个通道系统（一个束压缩机）和一个定期系统（存储环）。我们展示了对非线性行为的起源和性质的理解，以及使用适当的分析工具，可以证明对预测不同系统中非线性动态的影响有用，并允许设计适当的校正或缓解。
Nonlinear dynamics can impact the performance of a particle accelerator in a number of different ways, depending on the type of the accelerator and the parameter regime in which it operates. Effects can range from minor changes in beam properties or behaviour, to serious limitations on beam stability and machine performance. In these notes, we provide a brief introduction to nonlinear dynamics in accelerators. After a review of some relevant results from linear dynamics, we outline some of the main ideas of nonlinear dynamics, framing the discussion in the context of two examples of different types of accelerator: a single-pass system (a bunch compressor) and a periodic system (a storage ring). We show how an understanding of the origins and nature of the nonlinear behaviour, together with the use of appropriate analysis tools, can prove useful in predicting the effects of nonlinear dynamics in different systems, and allow the design of appropriate corrections or mitigations.
