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

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 an ultrarelativistic bunch excites the surface waves, whereas volume radiation is absent. Fourier transforms of the surface wave components and spectral density of energy losses are obtained and analyzed.