Radiation processes in dielectric cylindrical waveguides

TL;DR

This paper develops a recurrence method for calculating the electromagnetic Green function in dielectric cylindrical waveguides and applies it to analyze various radiation processes, including synchrotron-Cherenkov and surface polaritonic radiations.

Contribution

It introduces a generalized recurrence procedure for Green function evaluation in multilayer cylindrical structures and provides explicit formulas for radiation analysis.

Findings

Explicit Green tensor expressions for inside and outside the cylinder

Formulas for spectral-angular densities of different radiation types

Numerical analysis comparing radiation intensities and modes

Abstract

Dielectric cylindrical waveguides are widely used for confining and guiding of electromagnetic waves in relatively wide range of frequencies. They have found numerous technological and scientific applications in telecommunications, medicine, material science, photonics and quantum optics. The electromagnetic field Green function is the central object in investigations of different types of radiation processes in those structures. In this paper, we review and further develop the recurrence procedure for evaluating the electromagnetic field Green function in a medium made of any number of homogeneous cylindrical layers. The general results are specified for a cylindrical waveguide immersed in a homogeneous medium. Expressions are provided for all the components of the Green tensor in both regions inside and outside the cylinder. As an application of the results for the Green function, we consider the radiation of a charged particle rotating around a dielectric cylinder. The intensities for all types of radiation processes are discussed. They include the synchrotron-Cherenkov radiation at large distances from the cylinder and the radiation on guided and surface polaritonic modes confined inside or near the surface of the cylinder. The paper provides explicit formulas for the electromagnetic fields and the spectral-angular densities of those radiations. It also includes a numerical and comparative analysis.