JACoW is a publisher in Geneva, Switzerland that publishes the proceedings of accelerator conferences held around the world by an international collaboration of editors.
TY - CONF AU - Titze, M. ED - Zimmermann, Frank ED - Tanaka, Hitoshi ED - Sudmuang, Porntip ED - Klysubun, Prapong ED - Sunwong, Prapaiwan ED - Chanwattana, Thakonwat ED - Petit-Jean-Genaz, Christine ED - Schaa, Volker R.W. TI - On a Framework to Analyze Single-Particle Non-Linear Beam Dynamics: Normal Form on a Critical Point J2 - Proc. of IPAC2022, Bangkok, Thailand, 12-17 June 2022 CY - Bangkok, Thailand T2 - International Particle Accelerator Conference T3 - 13 LA - english AB - Normal form analysis around a stable fixed point is a well-established tool in accelerator physics and has proven to be invaluable for an understanding of non-linear beam dynamics. In this work we present progress in developing a modular Python framework to analyze some of the non-linear aspects of a storage ring, by directly operating with the given Hamiltonians. Hereby we have implemented Birkhoff’s normal form and Magnus expansion. This leads to a flexible framework to perform calculations to high order and, moreover, to relax the constraint of stability to also include certain unstable fixed points in the analysis. PB - JACoW Publishing CP - Geneva, Switzerland SP - 160 EP - 163 KW - lattice KW - operation KW - framework KW - status KW - resonance DA - 2022/07 PY - 2022 SN - 2673-5490 SN - 978-3-95450-227-1 DO - doi:10.18429/JACoW-IPAC2022-MOPOST040 UR - https://jacow.org/ipac2022/papers/mopost040.pdf ER -