Physics – Accelerator Physics
Scientific paper
2006-02-22
Physics
Accelerator Physics
20 pages, 5 figures, Mathematica source code provided
Scientific paper
10.1103/PhysRevSTAB.9.064201
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 all physically achievable system parameters -- including 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.
Chilton Sven H.
Lee Edward P.
Lund Steven M.
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