Single-particle Non-linear Beam Dynamics

TL;DR

This paper reviews recent advances in non-linear beam dynamics in circular accelerators, highlighting new concepts and methods that leverage non-linear effects for improved beam control and accelerator performance.

Contribution

It provides a comprehensive review of innovative approaches and recent developments in the modeling and utilization of non-linear beam dynamics.

Findings

New concepts for modeling non-linear dynamics

Enhanced control techniques for charged particle beams

Reconsideration of non-linear effects in accelerator design

Abstract

The investigation of single-particle dynamics in circular particle accelerators can be traced back to pioneering works in the 1950s. Traditionally, the design of new circular accelerators has focused on optimising linear dynamics, striving to minimise non-linear effects. When encountered, these effects were managed using suitable correction techniques. However, in recent years, this methodology has undergone significant reconsideration, leading to a more favourable view of non-linear beam dynamics. Notably, several new concepts have been promoted to improve the description and modelling of non-linear beam dynamics. Furthermore, new proposals have emerged that leverage the extensive potential of non-linear beam dynamics to enhance the control and manipulation of the characteristic features of charged particle beams. This article provides a detailed review and discussion of all these innovative approaches.