Generalized parametrization methods for centroid and envelope dynamics of charged particle beams in coupled lattices
Abstract
For almost 60 years, the wellknown CourantSnyder (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 QinDavidson 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 timedependent 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 QinDavidson method can be applied in a straightforward manner.
 Authors:

 Ulsan National Inst. of Science and Technology, Ulsan (South Korea). Dept. of Physics
 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:
 NRF2015R1D1A1A01061074; NRF2017M1A7A1A02016413; AC0209CH11466
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 25; Journal Issue: 1; Journal ID: ISSN 1070664X
 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 wellknown CourantSnyder (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 QinDavidson 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 timedependent 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 QinDavidson 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}
}
Web of Science
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