Description of electromagnetic fields in inhomogeneous accelerating sections. II Fields in the regular part

TL;DR

This paper presents a calculation method for electromagnetic field distribution in inhomogeneous accelerating sections using generalized coupled modes theory, demonstrating its accuracy in describing fields in the regular part of the section.

Contribution

It introduces a set of coupled differential equations that accurately model electromagnetic fields in inhomogeneous accelerating sections, extending previous theoretical frameworks.

Findings

Correctly describes electromagnetic field distribution in the regular part of the section

Validates the coupled differential equations against existing models

Applicable to inhomogeneous accelerating sections similar to CERN designs

Abstract

In this work we present the results of calculation of the electric field distribution in the inhomogeneous accelerating section on the base of generalized coupled modes theory. It was shown that the proposed coupled differential equations correctly describe electromagnetic field distribution in the regular part of the section under consideration, which is an analogue of the one being developed at CERN.