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Generalized parametrization methods for centroid and envelope dynamics of charged particle beams in coupled lattices

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.5018426· OSTI ID:1464463
 [1];  [2]
  1. Ulsan National Inst. of Science and Technology, Ulsan (South Korea). Dept. of Physics
  2. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Univ. of Science and Technology of China, Hefei (China). Dept. of Modern Physics
+ Show Author Affiliations
For almost 60 years, the well-known Courant-Snyder (CS) theory has been employed as the standard method to describe the uncoupled dynamics of charged particle beams in electromagnetic focusing lattices. Meanwhile, the generalization of the CS theory to coupled dynamics with two or more degrees of freedom has been attempted in numerous directions. The parametrization method developed by Qin and Davidson is particularly noteworthy, because their method enables the treatment of complicated coupled beam dynamics using a remarkably similar mathematical structure to that of the original CS theory. Here in this paper, we revisit the Qin-Davidson parametrization method and extend it to include beam centroid motions. The linear terms in the quadratic Hamiltonian for the coupled dynamics are handled by introducing a special time-dependent canonical transformation. In this manner, we show that the centroid dynamics is decoupled from the envelope dynamics, even for the cases of coupled lattice, and all formulations of the Qin-Davidson method can be applied in a straightforward manner.
Research Organization:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Organization:
National Research Foundation of Korea (NRF); USDOE
Grant/Contract Number:
AC02-09CH11466
OSTI ID:
1464463
Alternate ID(s):
OSTI ID: 1414617
Journal Information:
Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 1 Vol. 25; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (2)

A necessary and sufficient condition for the stability of linear Hamiltonian systems with periodic coefficients journal February 2019
A necessary and sufficient condition for the stability of linear Hamiltonian systems with periodic coefficients text January 2018

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43 PARTICLE ACCELERATORS
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