Coupled beam motion in a storage ring with crab cavities

TL;DR

This paper analyzes how crab cavities induce coupled transverse and longitudinal beam motion in storage rings, deriving a linear decoupling transformation and examining effects on beam distribution and eigen-emittance.

Contribution

It provides an analytic form of the linear decoupling transformation and models the equilibrium bunch distribution considering crab cavity effects.

Findings

Derived the linear decoupling transformation analytically.

Modeled the equilibrium bunch distribution with crab cavity influence.

Discussed application to short pulse generation schemes.

Abstract

We studied the coupled beam motion in a storage ring between the transverse and longitudinal directions introduced by crab cavities. Analytic form of the linear decoupling transformation is derived. The equilibrium bunch distribution in an electron storage ring with a crab cavity is given, including contribution to the eigen-emittance induced by the crab cavity. Application to the short pulse generation scheme using crab cavities is considered.