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Title: Singularity and stability in a periodic system of particle accelerators

Abstract

We study the single-particle dynamics in a general and parametrized alternating-gradient cell with zero chromaticity using the Lie algebra method. To our surprise, the first-order perturbation of the sextupoles largely determines the dynamics away from the major resonances. The dynamic aperture can be estimated from the topology and geometry of the phase space. In the linearly normalized phase space, it is scaled according to $$\bar{A}$$∝ Φ √L, where Φ is the bending angle and L the length of the cell. Finally, for the 2 degrees of freedom with equal betatron tunes, the analytical perturbation theory leads us to the invariant or quasi-invariant tori, which play an important role in determining the stable volume in the four-dimensional phase space.

Authors:
 [1]
  1. SLAC National Accelerator Lab., Menlo Park, CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1438520
Alternate Identifier(s):
OSTI ID: 1458460
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Published Article
Journal Name:
Physical Review Accelerators and Beams
Additional Journal Information:
Journal Volume: 21; Journal Issue: 5; Journal ID: ISSN 2469-9888
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS

Citation Formats

Cai, Yunhai. Singularity and stability in a periodic system of particle accelerators. United States: N. p., 2018. Web. doi:10.1103/physrevaccelbeams.21.054002.
Cai, Yunhai. Singularity and stability in a periodic system of particle accelerators. United States. doi:10.1103/physrevaccelbeams.21.054002.
Cai, Yunhai. Wed . "Singularity and stability in a periodic system of particle accelerators". United States. doi:10.1103/physrevaccelbeams.21.054002.
@article{osti_1438520,
title = {Singularity and stability in a periodic system of particle accelerators},
author = {Cai, Yunhai},
abstractNote = {We study the single-particle dynamics in a general and parametrized alternating-gradient cell with zero chromaticity using the Lie algebra method. To our surprise, the first-order perturbation of the sextupoles largely determines the dynamics away from the major resonances. The dynamic aperture can be estimated from the topology and geometry of the phase space. In the linearly normalized phase space, it is scaled according to $\bar{A}$∝ Φ √L, where Φ is the bending angle and L the length of the cell. Finally, for the 2 degrees of freedom with equal betatron tunes, the analytical perturbation theory leads us to the invariant or quasi-invariant tori, which play an important role in determining the stable volume in the four-dimensional phase space.},
doi = {10.1103/physrevaccelbeams.21.054002},
journal = {Physical Review Accelerators and Beams},
number = 5,
volume = 21,
place = {United States},
year = {2018},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/physrevaccelbeams.21.054002

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Cited by: 1 work
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