Online regularization of Poincar\'e map of storage rings with Shannon entropy

Autor:	Li, Yongjun, Anderson, Kelly, Xu, Derong, Hao, Yue, Ha, Kiman, Hidaka, Yoshiteru, Song, Minghao, Rainer, Robert, Smaluk, Victor, Shaftan, Timur
Rok vydání:	2024
Předmět:	Physics - Accelerator Physics Nonlinear Sciences - Chaotic Dynamics
Druh dokumentu:	Working Paper
Popis:	Shannon Entropy is adopted to quantify the chaos of measured Poincar\'e maps in the National Synchrotron Light Source-II (NSLS-II) storage ring. The recurrent Poincar\'e maps, constructed from beam position monitor's turn-by-turn readings, are commonly used to observe the nonlinearity in ring-based accelerators. However, these observations typically only provide a qualitative observation. With some canonical transformations on Poincar\'e maps, not only can the commonly used nonlinear characterizations be extracted, but more importantly, the chaos can be quantitatively measured with entropy. Entropy, therefore as a chaos indicator, is used for online Poincar\'e map regularization and dynamic aperture optimization in the NSLS-II ring. Comment: 5 pages, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.14333 Zobrazit plný text záznamu View this record from Arxiv