Sympletic tracking methods for insertion devices: a Robinson wiggler example

TL;DR

This paper compares four symplectic tracking methods to analyze nonlinear beam distortions caused by insertion devices, exemplified through a Robinson wiggler in synchrotron light sources.

Contribution

It introduces a universal analytical magnetic field representation and evaluates four symplectic tracking methods for insertion device analysis.

Findings

All four methods effectively model nonlinear beam distortions.

The analytical magnetic field representation simplifies insertion device analysis.

Symplectic tracking is essential for accurate beam dynamics in low- and medium-energy rings.

Abstract

Modern synchrotron light sources are often characterized with high-brightness synchrotron radiation from insertion devices. Inevitably, insertion devices introduce nonlinear distortion to the beam motion. Symplectic tracking is crucial to study the impact, especially for the low- and medium-energy storage rings. This paper uses a Robinson wiggler as an example to illustrate an universally applicable analytical representation of the magnetic field and to summarizes four different symplectic tracking methods.