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Title: Single-particle 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 third-order 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:
 [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:
1482768
Alternate Identifier(s):
OSTI ID: 1490065
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Published Article
Journal Name:
Physical Review Accelerators and Beams
Additional Journal Information:
Journal Volume: 21; Journal Issue: 11; Journal ID: ISSN 2469-9888
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Cai, Yunhai. Single-particle dynamics in theoretical minimum emittance cell. United States: N. p., 2018. Web. doi:10.1103/physrevaccelbeams.21.114002.
Cai, Yunhai. Single-particle dynamics in theoretical minimum emittance cell. United States. doi:10.1103/physrevaccelbeams.21.114002.
Cai, Yunhai. Mon . "Single-particle dynamics in theoretical minimum emittance cell". United States. doi:10.1103/physrevaccelbeams.21.114002.
@article{osti_1482768,
title = {Single-particle 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 third-order 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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/physrevaccelbeams.21.114002

Figures / Tables:

FIG. 1 FIG. 1: Geometrical parameters in a conventional optical system. F1,2 are the focus points, PP1,2 the principal planes, and f the focus length of the optical system.

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