Speaker
Description
Transverse resonance island buckets (TRIBs) near a third-order resonance are observed at the Cornell Electron Storage Ring with a newly-designed lattice. Hamiltonian perturbation theory and map-based PTC method have been successfully implemented to design the TRIBs lattice and find the fixed points near the third-order resonance. For even higher order resonances which are intrinsically weaker, the effects of radiation damping and excitation may not be negligible in the lepton machine such that the Hamiltonian approach could break down. In this paper, we study TRIBs near the fourth-order resonance with tracking simulations, which predict the existence of islands. Then experimental observations confirmed the islands formation near the fourth-order resonance. The positions of the fixed points extracted from experimental results agree reasonably well with those predictions from both tracking and PTC calculations. A unique method to push all particles into a single island is also demonstrated and discussed.
Funding Agency
Work supported by NSF DMR-1829070
Region represented | North America |
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Paper preparation format | LaTeX |