Radiation of a charge moving at an angle to the face of a dielectric prism

TL;DR

This paper analyzes Cherenkov radiation emitted by a charge moving at an angle to a dielectric prism face, using a new aperture method to derive analytical expressions for the radiation field.

Contribution

It introduces a novel aperture method with plane wave expansion to analyze off-parallel charge trajectories in dielectric prisms, extending previous work.

Findings

Analytical expressions for radiation fields in the Fraunhofer region

Influence of charge trajectory inclination on radiation characteristics

Application of a new aperture method for complex geometries

Abstract

Cherenkov radiation which generates by a charge moving in presence of a dielectric prism from the base to the top is analyzed. Unlike our previous works, here we consider the case when the charge trajectory is not parallel to the prism face. We apply a new version of the aperture method which uses the expansion in terms of plane waves in the prism material and on the aperture. The integrals for the radiation field are calculated analytically in the Fraunhofer region where the field components are written as single integrals. The influence of the incline of the charge trajectory on the radiation characteristics is discussed.