Diffraction and Smith-Purcell radiation on the hemispherical bulges in a metal plate

TL;DR

This paper analyzes diffraction and Smith-Purcell radiation caused by a charged particle moving near hemispherical bulges on a metal plate, using the method of images for non-relativistic particles and discussing extensions to relativistic cases.

Contribution

It develops a method to compute diffraction and Smith-Purcell radiation on hemispherical bulges in a metal plate, applicable to non-relativistic particles and extendable to relativistic scenarios.

Findings

Spectral-angular densities of diffraction radiation are calculated.

Spectral densities of Smith-Purcell radiation on periodic bulges are obtained.

The approach's applicability to relativistic particles is discussed.

Abstract

The radiation resulting from the uniform motion of a charged particle near a hemispheric bulge in a metal plane is considered. The description of the radiation process based on the method of images is developed for the case of non-relativistic particle and perfectly conducting target. The spectral-angular and spectral densities of the diffraction radiation on the single bulge (as well as the Smith-Purcell radiation on the periodic string of bulges) are computed. The possibility of application of the developed approach to the case of relativistic incident particle is discussed.