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

Abstract

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.

Authors:
 [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
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE; National Research Foundation of Korea (NRF)
OSTI Identifier:
1464463
Alternate Identifier(s):
OSTI ID: 1414617
Grant/Contract Number:  
NRF-2015R1D1A1A01061074; NRF-2017M1A7A1A02016413; AC02-09CH11466
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 25; Journal Issue: 1; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 43 PARTICLE ACCELERATORS

Citation Formats

Chung, Moses, and Qin, Hong. Generalized parametrization methods for centroid and envelope dynamics of charged particle beams in coupled lattices. United States: N. p., 2017. Web. doi:10.1063/1.5018426.
Chung, Moses, & Qin, Hong. Generalized parametrization methods for centroid and envelope dynamics of charged particle beams in coupled lattices. United States. doi:10.1063/1.5018426.
Chung, Moses, and Qin, Hong. Fri . "Generalized parametrization methods for centroid and envelope dynamics of charged particle beams in coupled lattices". United States. doi:10.1063/1.5018426. https://www.osti.gov/servlets/purl/1464463.
@article{osti_1464463,
title = {Generalized parametrization methods for centroid and envelope dynamics of charged particle beams in coupled lattices},
author = {Chung, Moses and Qin, Hong},
abstractNote = {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.},
doi = {10.1063/1.5018426},
journal = {Physics of Plasmas},
number = 1,
volume = 25,
place = {United States},
year = {2017},
month = {12}
}

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Works referenced in this record:

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