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High Order Map Treatment of Superimposed Cavities, Absorbers, and Magnetic Multipole and Solenoid Fields

Abstract

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.

K. Makino, M. Berz, C. J. Johnstone, D. Errede, Nuclear Instruments and Methods A519 (2004) 162-174

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