High-order map treatment of superimposed cavities, absorbers, and magnetic multipole and solenoid fields

Various modern systems for the transport and manipulation of large acceptance beams of rare and short-lived particles require the treatment of nonlinear optics of acceleration, absorption, and focusing in a combined approach. We describe a differential algebraic method for the treatment of such nonlinear dynamics via high-order transfer maps. We include the processes of scattering and straggling through absorbing material, which are inherently nondeterministic and hence not representable in the map formalism, in a split operator approach. Some examples of simulations of muon beam ionization cooling channels are provided. r 2003 Elsevier B.V. All rights reserved. PACS: 02.50.Ey; 02.60.Cb; 02.60.Gf; 02.60.Lj; 05.45. a; 11.80.La; 29.27. a; 29.27.Eg; 41.75.Lx; 41.85. p; 41.85.Ja; 41.85.Lc