TY - JOUR
T1 - Generalized courant-snyder theory for charged-particle dynamics in general focusing lattices
AU - Qin, Hong
AU - Davidson, Ronald C.
AU - Chung, Moses
AU - Burby, Joshua W.
PY - 2013/9/5
Y1 - 2013/9/5
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/84884254960
UR - https://www.scopus.com/inward/citedby.url?scp=84884254960&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.111.104801
DO - 10.1103/PhysRevLett.111.104801
M3 - Article
C2 - 25166673
AN - SCOPUS:84884254960
SN - 0031-9007
VL - 111
JO - Physical review letters
JF - Physical review letters
IS - 10
M1 - 104801
ER -