Radiation of a bunch in a waveguide having areas with deeply corrugated and smooth walls

TL;DR

This paper investigates the electromagnetic radiation emitted by a charged bunch moving through a waveguide with regions of deeply corrugated and smooth walls, analyzing boundary effects and field behavior.

Contribution

It provides analytical expressions for electromagnetic fields in waveguides with deep corrugations and boundary transitions, extending previous models to larger corrugation depths.

Findings

Corrugation significantly affects radiation patterns.

Boundary transitions alter electromagnetic field distributions.

Analytical solutions reveal key physical effects of corrugation depth.

Abstract

We analyze radiation from a bunch that uniformly moves in a circular waveguide and crosses the boundary between two areas: with a corrugated wall and with a smooth wall. It is assumed that the corrugation period is much less than the wavelengths under consideration. However, in difference with our pervious works, the corrugation depth is of the same order as the wavelength. The influence of corrugation on the electromagnetic field is investigated using the method of equivalent boundary conditions. At first, we consider a regular corrugated waveguide. Then two cases of the waveguides with boundaries between the corrugated and smooth regions is studied: first, when the bunch flies out of the corrugated part into the smooth one, and second, when the bunch flies into the corrugated part from the smooth one. We obtain and analyze the analytical expressions for the field components in both areas and reveal the main physical peculiarities of the bunch radiation.