III.5 — Non-linear beam manipulations in the transverse space

In recent years, high-energy particle accelerators utilizing superconducting magnets, which inherently possess non-linear field errors, have significantly advanced the field of non-linear beam dynamics. While non-linear dynamics can introduce detrimental effects on the behavior of charged particles, they also offer opportunities for innovation. Non-linear beam dynamics provides the potential for novel approaches to beam manipulation. This contribution explores and examines the central concepts underpinning these advanced manipulations.