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Neutrino Factory/Muon Collider Document 510-v1

Solenoidal ionization cooling lattices

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Document type:
MuCool Note
Submitted by:
Richard C Fernow
Updated by:
Richard C Fernow
Document Created:
26 Feb 2007, 16:13
Contents Revised:
26 Feb 2007, 16:13
Metadata Revised:
26 Feb 2007, 16:13
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We explore a practical approach for designing ionization cooling channels with periodic solenoidal
focusing. We examine the lattice characteristics in terms of the properties of the coils and the cell
geometry. The peak magnetic field in the coils is an important engineering constraint in lattice
design. We examine the dependence of the peak field, momentum pass band locations, and the
beta function on the coil parameters. We make a systematic examination of all allowed lattice
configurations taking into account the symmetry properties of the current densities and the beta
function. We introduce a unique nomenclature for comparing cooling lattice configurations. While
solutions with a single coil per cell illustrate most of the effects that are important for cooling
channel design, the introduction of additional coils allows more flexibility in selecting the lattice
properties. We look at example solutions for the problem of the initial transverse cooling stage of
a neutrino factory or muon collider and compare our results with the properties of some published
cooling lattice designs. Scaling laws are used to compare solutions from different symmetry classes.
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