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

Hong Qin, Ronald C. Davidson, Moses Chung, and Joshua W. Burby
Phys. Rev. Lett. 111, 104801 – Published 5 September 2013

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.

  • Received 10 June 2013

DOI:https://doi.org/10.1103/PhysRevLett.111.104801

© 2013 American Physical Society

Authors & Affiliations

Hong Qin1,2, Ronald C. Davidson1, Moses Chung3, and Joshua W. Burby1

  • 1Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543, USA
  • 2Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, China
  • 3Accelerator Physics Center, Fermi National Accelerator Laboratory, Batavia, Illinois 60510, USA

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 111, Iss. 10 — 6 September 2013

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×