论文标题
通过同步加速器运动在存储环中平均不变性
Averaged Invariants in Storage Rings with Synchrotron Motion
论文作者
论文摘要
在理想的加速器中，单粒子动力学可以将其分解为横向运动 - betatron振荡和纵向运动 - 同步基因振荡。色和分散效应引入了这些动力学（即所谓的同步 - 贝特子耦合）之间的耦合。我们对单个同步振荡进行了对完全耦合的动力学的分析，该动力学在通用晶格中导致与同步 - 贝特子耦合的平均不变性。 We apply this analysis to two problems: first, a toy lattice where the computations are analytically tractable, then a design for a rapid cycling synchrotron built using the integrable optics described by Danilov and Nagaitsev, showing that although there is fairly complex behavior over the course of a synchrotron oscillation, the Danilov-Nagaitsev invariants are nevertheless periodic with the synchrotron motion.
In an ideal accelerator, the single-particle dynamics can be decoupled into transverse motion -- the betatron oscillations -- and longitudinal motion -- the synchrotron oscillations. Chromatic and dispersive effects introduce a coupling between these dynamics, the so-called synchro-betatron coupling. We present an analysis of the fully coupled dynamics over a single synchrotron oscillation that leads to an averaged invariant with synchro-betatron coupling in a generic lattice. We apply this analysis to two problems: first, a toy lattice where the computations are analytically tractable, then a design for a rapid cycling synchrotron built using the integrable optics described by Danilov and Nagaitsev, showing that although there is fairly complex behavior over the course of a synchrotron oscillation, the Danilov-Nagaitsev invariants are nevertheless periodic with the synchrotron motion.
