Extended 1D Method for Coherent Synchrotron Radiation including Shielding

TL;DR

This paper extends a 1D formalism for simulating Coherent Synchrotron Radiation to lower energies, shorter bunch lengths, and complex bend configurations, improving accuracy in high-brightness accelerator designs.

Contribution

The authors develop an extended 1D formalism incorporating shielding effects and multiple bends, implemented in the Bmad code for more accurate CSR simulations.

Findings

Extended formalism matches analytical and numerical solutions

Improved simulation accuracy for low-energy, short-bunch scenarios

Validated results against elegant code simulations

Abstract

Coherent Synchrotron Radiation can severely limit the performance of accelerators designed for high brightness and short bunch length. Examples include light sources based on ERLs or FELs, and bunch compressors for linear colliders. In order to better simulate Coherent Synchrotron Radiation, the established 1-dimensional formalism is extended to work at lower energies, at shorter bunch lengths, and for an arbitrary configuration of multiple bends. Wide vacuum chambers are simulated by means of vertical image charges. This formalism has been implemented in the general beam dynamics code "Bmad" and its results are here compared to analytical approximations, to numerical solutions of the Maxwell equations, and to the simulation code "elegant".