2D structures of electron bunches in relativistic plasma cavities

TL;DR

This paper investigates the detailed spatial structure of ultra-low emittance electron bunches in plasma wakefield regimes, revealing equilibrium configurations with hexagonal lattice features and topological defects, using a quasi-static model and scaling laws.

Contribution

It introduces an equilibrium slice model incorporating full Li9nard-Wiechert potentials to analyze electron bunch structures in plasma cavities, highlighting topological defects and scaling behaviors.

Findings

Equilibrium structures resemble hexagonal lattices with defects.

Scaling laws for interparticle distances are established.

Full electromagnetic interactions are considered in the model.

Abstract

The spatial structure of an ultra-low emittance electron bunch in a plasma wakefield blowout regime is studied. The full Li\'{e}nard-Wiechert potentials are considered for mutual inter-particle interactions in the framework of the equilibrium slice model (ESM). This model uses the quasi-static theory which allows to solve the Li\'{e}nard-Wiechert potentials without knowledge of the electrons' history. The equilibrium structure we find is similar to already observed hexagonal lattices but shows topological defects. Scaling laws for interparticle distances are obtained from numerical simulations and analytical estimations.