Transverse Beam Dynamics including Aberration Effects in the Thermal Wave Model using a Functional Method

TL;DR

This paper extends the thermal wave model to include aberration effects in transverse beam dynamics using a functional integration method, successfully matching simulation results for proton beams in a FODO lattice.

Contribution

It introduces a functional method to incorporate aberration effects into the thermal wave model for transverse beam dynamics.

Findings

Model accurately predicts aberration effects in proton beam dynamics.

First-order perturbation effects are effectively calculated using the functional integration method.

Results align with PARMILA simulation data for specific beam configurations.

Abstract

We studied the transverse beam dynamics including aberration effects of sextupole and octupole perturbations in a thermal wave model. A functional integration method was used to calculate the first-order perturbation effects. We found that the model successfully explains a PARMILA simulation results for proton beams without space-charge effects in a FODO lattice.