New Method for Regularizing Poincaré Maps in Storage Rings Using Shannon Entropy

Recent research has introduced a method for online regularization of Poincaré maps in storage rings, utilizing Shannon entropy as a quantitative measure of chaos. The study, conducted by Yongjun Li and colleagues, focuses on the National Synchrotron Light Source-II (NSLS-II) storage ring, where Poincaré maps are constructed from turn-by-turn readings of beam position monitors. Traditionally, these maps have provided only qualitative insights into the nonlinearity of ring-based accelerators.

By applying canonical transformations to the Poincaré maps, the researchers were able to extract commonly used nonlinear characterizations and quantitatively measure chaos through entropy. This approach allows for the online regularization of Poincaré maps, which can enhance dynamic aperture optimization in the NSLS-II ring.

The implications of this research are significant for the field of accelerator physics, as it offers a more precise method for analyzing chaotic behavior in particle accelerators. This could lead to improved performance and stability in future accelerator designs. The findings are detailed in the paper titled "Online regularization of Poincaré map of storage rings with Shannon entropy" by Yongjun Li et al., available on arXiv at arXiv:2408.14333.