# Radiation of a charge moving along a corrugated surface with a relatively small period

## TL;DR

This paper investigates electromagnetic radiation emitted by a relativistic charged bunch moving along a corrugated metallic surface, revealing surface wave excitation and absence of volume radiation under certain wavelength conditions.

## Contribution

It introduces a method to analyze surface wave excitation and energy losses for a charge moving on a corrugated surface with small period and depth.

## Key findings

- Surface waves are excited by an ultra-relativistic bunch.
- Volume radiation is absent for wavelengths larger than the corrugation period.
- Spectral density of energy losses is derived and analyzed.

## Abstract

We consider electromagnetic radiation of a charged particle bunch moving uniformly along a corrugated planar metallic surface. It is assumed that the wavelengths under consideration are much larger than the period and the depth of corrugation. Using the method of the equivalent boundary conditions we obtain the Fourier-transform of the Hertz vector. It is demonstrated that the ultra-relativistic bunch excites the surface waves, whereas the volume radiation is absent. Fourier-transforms of the surface wave components and spectral density of energy losses are obtained and analyzed.