Differentiable self-consistent space-charge simulation for accelerator design

TL;DR

This paper introduces a differentiable simulation model for space-charge effects in accelerators, enabling efficient sensitivity analysis and optimization with a single simulation run, improving accelerator design processes.

Contribution

The paper presents a novel differentiable self-consistent space-charge simulation model that allows for gradient-based optimization in accelerator design.

Findings

Enables sensitivity analysis with one simulation

Facilitates gradient-based optimization

Reduces computational cost for accelerator design

Abstract

The nonlinear space-charge effects in a high intensity or high brightness accelerator can have a significant impact on the beam properties through the accelerator. These effects are included in the accelerator design via self-consistent multi-particle tracking simulations. In order to study the sensitivity of the final beam's properties with respect to the accelerator design parameters, one has to carry out the time-consuming space-charge simulation multiple times. In this paper, we propose a differentiable self-consistent space-charge simulation model that enables the study of the beam sensitivity through only one simulation. Such a model can also be used with gradient-based numerical optimizers for accelerator design optimizations including the self-consistent space-charge effects.