Two-Stream Instability Model With Electrons Trapped in Quadrupoles

TL;DR

This paper develops a linear instability model for e-clouds trapped in quadrupoles, showing growth rates are smaller than in drift spaces but align with observed data, advancing understanding of two-stream instability.

Contribution

It introduces a linear instability theory specifically for electrons trapped in quadrupoles, a novel approach in modeling e-cloud instabilities.

Findings

Growth rates are smaller than in drift space models.

Predicted growth rates closely match observed data.

The model provides a new framework for analyzing e-cloud instabilities.

Abstract

We formulate the theory of the two-stream instability (e-cloud instability) with electrons trapped in quadrupole magnets. We show that a linear instability theory can be sensibly formulated and analyzed. The growth rates are considerably smaller than the linear growth rates for the two-stream instability in drift spaces and are close to those actually observed.