Efficient computation of matched solutions of the KV envelopeequation for periodic focusing lattices

Journal Article · Tue Jan 03 04:00:00 EST 2006 · Physical Review Special Topics -- Accelerators andBeams

OSTI ID:901671

Lund, Steven M; Chilton, Sven H; Lee, Edward P

A new iterative method is developed to numerically calculate the periodic, matched beam envelope solution of the coupled Kapchinskij-Vladimirskij (KV) equations describing the transverse evolution of a beam in a periodic, linear focusing lattice of arbitrary complexity. Implementation of the method is straightforward. It is highly convergent and can be applied to all usual parameterizations of the matched envelope solutions. The method is applicable to all classes of linear focusing lattices without skew couplings, and also applies to parameters where the matched beam envelope is strongly unstable. Example applications are presented for periodic solenoidal and quadrupole focusing lattices. Convergence properties are summarized over a wide range of system parameters.

• Research Organization: Ernest Orlando Lawrence Berkeley NationalLaboratory, Berkeley, CA (US)
• Sponsoring Organization: USDOE Director. Office of Science. Office of Fusion EnergySciences, Lawrence Livermore National Laboratory
• DOE Contract Number: AC02-05CH11231
• OSTI ID: 901671
• Report Number(s): LBNL--59350; HIFAN 1515; BnR: AT5015031
• Journal Information: Physical Review Special Topics -- Accelerators andBeams, Journal Name: Physical Review Special Topics -- Accelerators andBeams Journal Issue: 6 Vol. 9
• Country of Publication: United States
• Language: English

Related Subjects

32 ENERGY CONSERVATION, CONSUMPTION, AND UTILIZATION
CONVERGENCE
FOCUSING
IMPLEMENTATION
ITERATIVE METHODS
QUADRUPOLES