BROWSE

Related Researcher

Author

Chung, Moses
Intense Beam and Accelerator Laboratory (IBAL)
Research Interests
  • Accelerator, beam physics and diagnostics, plasma

ITEM VIEW & DOWNLOAD

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

Cited 0 times inthomson ciCited 0 times inthomson ci
Title
Generalized parametrization methods for centroid and envelope dynamics of charged particle beams in coupled lattices
Author
Chung, MosesQin, Hong
Keywords
Particle neams; Accelerated beams; Hamiltonian mechanics; Electrorheological; Dielectrics
Issue Date
201801
Publisher
AMER INST PHYSICS
Citation
PHYSICS OF PLASMAS, v.25, no.1, pp.011605 -
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. 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.
URI
Go to Link
DOI
http://dx.doi.org/10.1063/1.5018426
ISSN
1070-664X
Appears in Collections:
SNS_Journal Papers

find_unist can give you direct access to the published full text of this article. (UNISTARs only)

Show full item record

qr_code

  • mendeley

    citeulike

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

MENU