Dynamics of particles in non scaling fixed field alternating gradient accelerators

Non scaling Fixed-Field Alternating Gradient (FFAG) accelerators have an unprecedented potential for muon acceleration, as well as for medical purposes based on carbon and proton hadron therapy. They also represent a possible active element for an Accelerator Driven Subcritical Reactor (ADSR). Start...

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Published inProgress in physics (Rehoboth, N.M.) Vol. 2010; no. 1; pp. 72 - 82
Main Authors Jones, James K, Muratori, Bruno D, Smith, Susan L, Tzenov, Stephan I
Format Journal Article
LanguageEnglish
Published Progress in Physics 01.01.2010
Subjects
Machinery
Magneto-electric machines
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Summary:Non scaling Fixed-Field Alternating Gradient (FFAG) accelerators have an unprecedented potential for muon acceleration, as well as for medical purposes based on carbon and proton hadron therapy. They also represent a possible active element for an Accelerator Driven Subcritical Reactor (ADSR). Starting from first principle the Hamiltonian formalism for the description of the dynamics of particles in non-scaling FFAG machines has been developed. The stationary reference (closed) orbit has been found within the Hamiltonian framework. The dependence of the path length on the energy deviation has been described in terms of higher order dispersion functions. The latter have been used subsequently to specify the longitudinal part of the Hamiltonian. It has been shown that higher order phase slip coefficients should be taken into account to adequately describe the acceleration in non-scaling FFAG accelerators. A complete theory of the fast (serpentine) acceleration in non-scaling FFAGs has been developed.
ISSN:1555-5534
1555-5615