Relation between particle beam eigen-emittances and canonical vorticity flux

TL;DR

This paper explores the relationship between particle beam eigen-emittances and canonical vorticity flux, revealing that changes in one correspond to changes in the other, with implications for beam dynamics modeling.

Contribution

It establishes a theoretical link between eigen-emittances and canonical vorticity flux in particle beams, a novel insight for accelerator physics.

Findings

Eigen-emittances are related to canonical vorticity flux.

Changes in eigen-emittances correspond to changes in vorticity flux.

Provides a new perspective on beam dynamics modeling.

Abstract

Particle beams provided by accelerators occupy a finite volume of the four dimensional transverse phase space. The latter is spanned by the four degrees of freedom, i.e., horizontal/vertical position and momentum. This volume is referred to as emittance. Horizontal and vertical emittances are obtained through projections onto the two transverse sub-phase spaces. Eigen-emittances are obtained from the latter by removing all horizontal-vertical correlations through an appropriate beam optics section. Canonical vorticity flux is used for instance for modelling dynamics of tubes formed by magnetic field lines and particle currents embedded into plasmas. This report is on the relation of eigen-emittances and canonical vorticity flux. Change of beam eigen-emittances is equivalent to change of beam canonical vorticity flux.