Poincare Map, LIE Generator Nonlinear Invariant, Parameter Dependance, Dynamic Aperture for Rings.

Bengtsson, J.

Technical Information Center Oak Ridge Tennessee

关键词: Beam dynamics;    Storage rings;    Algorithms;    Optimization;    Optics;   

RP-ID  :  DE2007913420

学科分类：工程和技术（综合）

美国|英语

来源: National Technical Reports Library

【 摘 要 】

In earlier work related to the NSLS-II project we have outlined a control theory approach for the dynamic aperture problem. In particular, an algorithm for the joint optimization of the Lie generator and the working point for the Poincark map. This time we report on how the Lie generator provides guidelines on acceptable magnitudes for e.g. the intrinsic nonlinear effects from insertion devices, and the nonlinear pseudo-invariant from the map normal form can be used to optimize the dynamic aperture. We also show how a polymorphic beam line class can be used to study the parameter dependence and rank conditions for control of optics and dynamic aperture.