A Symplectic Multi-Particle Tracking Model for Self-Consistent Space-Charge Simulation

TL;DR

This paper introduces a novel self-consistent symplectic multi-particle spectral model for space-charge simulation in accelerators, preserving phase space structure and reducing numerical emittance growth compared to traditional models.

Contribution

It presents the first self-consistent symplectic space-charge tracking model in accelerator physics, combining external and self-fields using a split-operator method.

Findings

Model preserves phase space structure.

Shows less numerical emittance growth.

Applicable to 2D and 3D simulations.

Abstract

Symplectic tracking is important in accelerator beam dynamics simulation. So far, to the best of our knowledge, there is no self-consistent symplectic space-charge tracking model available in the accelerator community. In this paper, we present a two-dimensional and a three-dimensional symplectic multi-particle spectral model for space-charge tracking simulation. This model includes both the effect from external fields and the effect of self-consistent space-charge fields using a split-operator method. Such a model preserves the phase space structure and shows much less numerical emittance growth than the particle-in-cell model in the illustrative examples.