Abstract
A new approach to the analysis of charge particle motion in periodic resonant RF accelerators is suggested. A three-dimensional equation of motion in the Hamiltonian form is derived. This equation makes it possible to carefully study the relationship between the transverse and the longitudinal dynamics of the ion beams at low initial energies. General conditions for RF focusing in ion linacs are formulated. Basic results are compared with numerical simulation data for the beam dynamics in the polyharmonic field of the accelerating cavity. A version of an RF-focusing proton accelerator in which the current transmission coefficient is close to that in an accelerator with radio frequency quadrupole is described.
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