Singleparticle dynamics in theoretical minimum emittance cell
Abstract
Here, we have developed a parametrization of the linear optics in a theoretical minimum emittance cell with three quadrupoles. It consists of five independent parameters: two phase advances, a dimensionless horizontal beta function at the center of the dipole, and a bending angle Φ and a length L of the dipole. For the zero chromaticity cell, we again find that the dynamic aperture in the normalized phase space is scaled according to, ¯A∝Φ√L. Moreover, we study nonlinear dynamics near the thirdorder coupled resonances in the framework of the resonance normal form. In particular, we derive the effective Hamiltonians using the Lie algebra method and show that the periodic orbits in tracking can be interpreted as solutions of the Hamilton’s equations. Surprisingly, we discover that the scheme is not only applicable to the single resonance but also to the double resonances.
 Authors:

 SLAC National Accelerator Lab., Menlo Park, CA (United States)
 Publication Date:
 Research Org.:
 SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1482768
 Alternate Identifier(s):
 OSTI ID: 1490065
 Grant/Contract Number:
 AC0276SF00515
 Resource Type:
 Published Article
 Journal Name:
 Physical Review Accelerators and Beams
 Additional Journal Information:
 Journal Volume: 21; Journal Issue: 11; Journal ID: ISSN 24699888
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Cai, Yunhai. Singleparticle dynamics in theoretical minimum emittance cell. United States: N. p., 2018.
Web. doi:10.1103/physrevaccelbeams.21.114002.
Cai, Yunhai. Singleparticle dynamics in theoretical minimum emittance cell. United States. https://doi.org/10.1103/physrevaccelbeams.21.114002
Cai, Yunhai. Mon .
"Singleparticle dynamics in theoretical minimum emittance cell". United States. https://doi.org/10.1103/physrevaccelbeams.21.114002.
@article{osti_1482768,
title = {Singleparticle dynamics in theoretical minimum emittance cell},
author = {Cai, Yunhai},
abstractNote = {Here, we have developed a parametrization of the linear optics in a theoretical minimum emittance cell with three quadrupoles. It consists of five independent parameters: two phase advances, a dimensionless horizontal beta function at the center of the dipole, and a bending angle Φ and a length L of the dipole. For the zero chromaticity cell, we again find that the dynamic aperture in the normalized phase space is scaled according to, ¯A∝Φ√L. Moreover, we study nonlinear dynamics near the thirdorder coupled resonances in the framework of the resonance normal form. In particular, we derive the effective Hamiltonians using the Lie algebra method and show that the periodic orbits in tracking can be interpreted as solutions of the Hamilton’s equations. Surprisingly, we discover that the scheme is not only applicable to the single resonance but also to the double resonances.},
doi = {10.1103/physrevaccelbeams.21.114002},
journal = {Physical Review Accelerators and Beams},
number = 11,
volume = 21,
place = {United States},
year = {2018},
month = {11}
}
https://doi.org/10.1103/physrevaccelbeams.21.114002
Web of Science
Figures / Tables:
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