| Title |
On a Framework to Analyze Single-Particle Non-Linear Beam Dynamics: Normal Form on a Critical Point |
| Authors |
- M. Titze
HZB, Berlin, Germany
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| Abstract |
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.
|
| Funding |
Work supported by German Bundesministerium für Bildung und Forschung, Land Berlin, and grants of Helmholtz Association. |
| Paper |
download MOPOST040.PDF [1.225 MB / 4 pages] |
| Cite |
download ※ BibTeX
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※ EndNote |
| Conference |
IPAC2022 |
| Series |
International Particle Accelerator Conference (13th) |
| Location |
Bangkok, Thailand |
| Date |
12-17 June 2022 |
| Publisher |
JACoW Publishing, Geneva, Switzerland |
| Editorial Board |
Frank Zimmermann (CERN, Meyrin, Switzerland); Hitoshi Tanaka (RIKEN, Hyogo, Japan); Porntip Sudmuang (SRLI, Nakhon, Thailand); Prapong Klysubun (SRLI, Nakhon, Thailand); Prapaiwan Sunwong (SRLI, Nakhon, Thailand); Thakonwat Chanwattana (SRLI, Nakhon, Thailand); Christine Petit-Jean-Genaz (CERN, Meyrin, Switzerland); Volker R.W. Schaa (GSI, Darmstadt, Germany) |
| Online ISBN |
978-3-95450-227-1 |
| Online ISSN |
2673-5490 |
| Received |
31 May 2022 |
| Revised |
13 June 2022 |
| Accepted |
14 June 2022 |
| Issue Date |
25 June 2022 |
| DOI |
doi:10.18429/JACoW-IPAC2022-MOPOST040 |
| Pages |
160-163 |
| Copyright |
 Published by JACoW Publishing under the terms of the Creative Commons Attribution 3.0 International license. Any further distribution of this work must maintain attribution to the author(s), the published article's title, publisher, and DOI. |
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