Radiation of a point charge uniformly moving along the axis of the circular disc-loaded waveguide

TL;DR

This paper analyzes the electromagnetic radiation emitted by a point charge moving at constant velocity along the axis of a circular disc-loaded waveguide, focusing on mode saturation and limit spectrum characteristics.

Contribution

It provides a detailed analysis of the space-charge distribution and energy losses, introducing new insights into the limit radiation spectrum and mode saturation in such waveguides.

Findings

Mode amplitudes saturate at high charge energies

Energy losses per structure period reach finite limits

Identifies features of the limit radiation spectrum

Abstract

The space-charge distribution of the electromagnetic field excited by point charge moving with a constant velocity on the axis of the circular disc-loaded waveguide was analyzed. The energy losses per structure period numerically were calculated. With increasing charge energy main features of the waveguide modes reach some finite values and, so way, define the limit radiation spectrum. The saturation of the amplitudes of modes (which belongs to the lower part of the limit spectrum) was observed. The analytical techniques and results of calculations were discussed with the use of translation symmetry and the problems that should be noticed were pointed out.