3 papers
physics.acc-ph2024
Cleaning the beam halo using nonlinear AC magnets
F. Capoani, A. Bazzani, M. Giovannozzi
Recently, nonlinear effects have been utilized to cool a special beam represented by an annular distribution in a 2D phase space. This outcome was accomplished using an AC dipole c…
math.DS2024
Analysis of double-resonance crossing in adiabatic trapping phenomena for quasi-integrable area-preserving maps with time-dependent exciters
A. Bazzani, F. Capoani, M. Giovannozzi
In this paper, we analyze the adiabatic crossing of a resonance for Hamiltonian systems when a double-resonance condition is satisfied by the linear frequency at an elliptic fixed…
physics.acc-ph2022
Hamiltonian theory of the crossing of the nonlinear coupling resonance
A. Bazzani, F. Capoani, M. Giovannozzi
In a recent paper, the adiabatic theory of Hamiltonian systems was successfully applied to study the crossing of the linear coupling resonance, . A detailed explanation…