Twiss Parameters of Coupled Particle Beams with Equal Eigenemittances

TL;DR

This paper extends the 1D Courant-Snyder theory to a multidimensional framework for coupled particle beams with equal eigenemittances, providing a broader theoretical foundation.

Contribution

It demonstrates that the 1D Courant-Snyder theory is a special case within the more general multidimensional coupled beam theory for equal eigenemittances.

Findings

Unified multidimensional theory of coupled beams

Reduction of multidimensional theory to 1D case

Enhanced understanding of beam coupling dynamics

Abstract

We show that the 1D Courant-Snyder theory can be considered as a partial case of the multidimensional theory of coupled particle beams with equal eigenemittances.