Radiation of a particle performing helical motion in a multilayer cylindrical waveguide

TL;DR

This paper presents an algorithm to calculate the radiation field of a charged particle in a multilayer cylindrical waveguide with arbitrary layers, providing explicit modal frequency distributions and resonant frequency equations.

Contribution

It introduces a novel algorithm for modeling radiation from a particle in multilayer cylindrical waveguides with explicit modal and resonant frequency formulas.

Findings

Explicit modal frequency distributions for various multilayer configurations

Resonant frequency equations for single and double-layer waveguides

Graphical examples illustrating mode distributions in different waveguide setups

Abstract

- An algorithm for calculating the radiation field of a charged point particle performing a spiral motion in an infinite cylindrical waveguide with a multilayer side wall is found. The number of layers and their filling is arbitrary. The axis of the spiral is aligned with the axis of the waveguide, so that the geometry of the problem has cylindrical symmetry. Explicit expressions for modal frequency distributions and equations for resonant frequencies for single-layer and double-layer waveguides are given. Examples of graphical constructions of modal frequency distributions of modes for single-layer (resistive), double-layer (metal-dielectric) and triple-layer (metal-dielectric with internal NEG coating) waveguides are presented.