Analytical model of a 3D beam dynamics in a wakefield device

TL;DR

This paper presents an analytical model with simple formulas to describe 3D beam dynamics in wakefield devices, aiding in estimating beam size limits and applicable to various beam slice distributions.

Contribution

It introduces a novel analytic formalism for 3D beam dynamics in wakefield structures of arbitrary cross-section, extending applicability to complex beam slice distributions.

Findings

Derived formulas for beam size estimation in wakefield devices.

Applicable to arbitrary cross-section and beam slice distributions.

Provides a tool for design and analysis of wakefield-based beam manipulation devices.

Abstract

In this paper we suggest an analytic model, and derive simple formulas, for the beam dynamics in a wakefield structure of arbitrary cross-section. The results could be applied to estimate an upper limit of the projected beam size in devices such as the dechirper and the wakefield streaking device. The suggested formalism is also applicable to the case when slices of the beam are distributed along an arbitrary line in 3D.