Description of electromagnetic fields in inhomogeneous accelerating sections. III Beam loading

TL;DR

This paper develops a semi-analytical theory for beam loading in inhomogeneous accelerating structures, accounting for complex field distributions excited by relativistic electron beams, using a generalized coupled mode approach.

Contribution

It introduces a self-consistent semi-analytical model based on coupled modes, extending previous theories to inhomogeneous structures with complex field behaviors.

Findings

Calculated electric field distributions for relativistic electron beams

Demonstrated complex spatial field patterns in inhomogeneous structures

Provided insights into beam-structure interactions in accelerating sections

Abstract

A self-consistent semi-analytical theory of beam loading in inhomogeneous accelerating structures based on the generalized theory of coupled modes is proposed. A single-mode approximation was used when the fields are represented as a sum of two components, one of which is associated with the right travelling eigen wave, and the second with the left. However, this second component is not always a left travelling. When a field is excited by an electron beam it can have complex spatial distribution. The results of calculation of the distribution of electric fields excited by a relativistic electron beam are presented.