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

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Generalized Courant-Snyder Theory for Charged-Particle Dynamics in General Focusing Lattices

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Title
Generalized Courant-Snyder Theory for Charged-Particle Dynamics in General Focusing Lattices
Author
Qin, HongDavidson, Ronald C.Chung, MosesBurby, Joshua W.
Keywords
Beam energies; Degree of freedom; Envelope equations; Envelope functions; Generalized theory; Phase advance; Quadrupoles; Transverse dynamics
Issue Date
2013-09
Publisher
AMER PHYSICAL SOC
Citation
PHYSICAL REVIEW LETTERS, v.111, no.10, pp. -
Abstract
The Courant-Snyder (CS) theory for one degree of freedom is generalized to the case of coupled transverse dynamics in general linear focusing lattices with quadrupole, skew-quadrupole, dipole, and solenoidal components, as well as torsion of the fiducial orbit and variation of beam energy. The envelope function is generalized into an envelope matrix, and the phase advance is generalized into a 4D sympletic rotation. The envelope equation, the transfer matrix, and the CS invariant of the original CS theory all have their counterparts, with remarkably similar expressions, in the generalized theory.
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DOI
10.1103/PhysRevLett.111.104801
ISSN
0031-9007
Appears in Collections:
PHY_Journal Papers
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