On the Electromagnetic Field of a Focusing Charged Particle Beam and Its Two-Dimensional Approximation

TL;DR

This paper reviews the analytical expressions for the electromagnetic potential of a focusing charged particle beam, emphasizing the assumptions involved, which are crucial for applications in beam physics.

Contribution

It provides a detailed review of the theory and assumptions behind the electromagnetic potential of focusing charged particle beams, including a two-dimensional approximation.

Findings

Clarifies the assumptions in deriving electromagnetic potentials.

Highlights the importance of the two-dimensional approximation.

Provides insights for beam physics applications.

Abstract

The analytical expressions for the electromagnetic potential generated from a focusing charged particle beam are indispensable in various beam physics problems. In this article, we review the theory in detail and point out the necessary assumptions made in the derivation.