Symplectic Modeling of Beam Loading in Electromagnetic Cavities

TL;DR

This paper introduces a symplectic, self-consistent modeling algorithm for beam loading in electromagnetic cavities that efficiently captures complex physics across multiple modes and beam distributions.

Contribution

It develops a novel symplectic algorithm based on the least-action principle capable of modeling multiple cavity modes and arbitrary beam distributions.

Findings

Efficient simulation of beam loading effects.

Accurate modeling of higher-order mode interactions.

Applicable to diverse beam and cavity configurations.

Abstract

Simulating beam loading in radiofrequency accelerating structures is critical for understanding higher-order mode effects on beam dynamics, such as beam break-up instability in energy recovery linacs. Full wave simulations of beam loading in radiofrequency structures are computationally expensive, while reduced models can ignore essential physics and can be difficult to generalize. We present a self-consistent algorithm derived from the least-action principle which can model an arbitrary number of cavity eigenmodes and with a generic beam distribution.