IPAC'26 - the 17th International Particle Accelerator Conference

Approximate invariant analysis -- a new framework for nonlinear beam dynamics

Not scheduled

20m

C.I.D

Contributed Oral Presentation MC5.D02: Nonlinear Single Particle Dynamics Resonances, Tracking, Higher Order, Dynamic Aperture, Code Developments

Speaker

Yongjun Li (Brookhaven National Laboratory)

Description

We present a new nonlinear beam dynamics analysis framework -- Approximate Invariant Analysis (AIA) -- which is based upon the construction of approximate invariants [Y. Li, D. Xu, and Y. Hao, Phys. Rev. Accel. Beams 28, 074001 (2025)] and the extraction of the betatron frequency using the Poincar\'e rotation number [S. Nagaitsev and T. Zolkin, Phys. Rev. Accel. Beams 23, 054001 (2020)]. The method is demonstrated using the National Synchrotron Light Source II (NSLS-II) storage ring as an example.