Efficient computation of matched solutions of the KV envelope equations for periodic focusing lattices.

Journal Article · Tue Jan 17 04:00:00 EST 2006 · Physical Review Special Topics-Accelerators and Beams, vol. 9, N/A, June 20, 2006, pp. 15

OSTI ID:936495

Lund, S M; Chilton, S H; Lee, E 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: Lawrence Livermore National Laboratory (LLNL), Livermore, CA
• Sponsoring Organization: USDOE
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 936495
• Report Number(s): UCRL-JRNL-218253
• Journal Information: Physical Review Special Topics-Accelerators and Beams, vol. 9, N/A, June 20, 2006, pp. 15, Journal Name: Physical Review Special Topics-Accelerators and Beams, vol. 9, N/A, June 20, 2006, pp. 15 Vol. 9
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
CONVERGENCE
FOCUSING
IMPLEMENTATION
ITERATIVE METHODS
QUADRUPOLES