Radiation from a charged particle flying through a dielectric ball

TL;DR

This paper derives analytical expressions for the spectral and angular distribution of radiation emitted by a relativistic charged particle moving through a dielectric ball, highlighting the boundary's influence on Cherenkov radiation spectrum.

Contribution

It provides new analytical formulas for radiation distributions and numerical results, emphasizing boundary effects on Cherenkov radiation inside a dielectric sphere.

Findings

Spectral distribution is strongly affected by the dielectric ball boundary.

Analytical expressions for spectral and angular distributions are derived.

Numerical results illustrate the boundary influence on Cherenkov radiation spectrum.

Abstract

The radiation from a relativistic charged particle uniformly moving through the centre of a dielectric ball is investigated. Analytical expressions for spectral and spectral-angular distributions of the radiated energy are derived and numerical results for the spectrum of radiation are given. It is shown, that the spectral distribution of Cherenkov radiation generated by the relativistic particle inside a dielectric ball at specified frequencies is strongly influenced by the ballvacuum boundary.