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

Evgeniy S Simakov,Andrey V Tyukhtin,Sergey N Galyamin

doi:10.1103/physrevaccelbeams.22.061301

Evgeniy S Simakov, Andrey V Tyukhtin + Show 1 more

Open Access

https://doi.org/10.1103/physrevaccelbeams.22.061301

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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.

Highlights

Electromagnetic interaction of charged particle beams with corrugated structures is of essential interest nowadays for a number of reasons
The last section is devoted to the description of the main physical effect, which consists in generation of surface waves
We have investigated radiation of the charged particle bunch moving along the corrugated metallic surface

Summary

INTRODUCTION

Electromagnetic interaction of charged particle beams with corrugated structures is of essential interest nowadays for a number of reasons. We study theoretically the situation, which is principally different from the Smith-Purcell case: the wavelengths under consideration are supposed to be much larger than periods of the structure, i.e., we consider so-called “long-wave” (or “low-frequency”) approximation. In this case, the periodic structure can be described by so-called equivalent boundary conditions (EBC), which. The “long-wave” radiation from the bunch moving along the planar periodic wire structure has been studied in papers [17,18] Under this approximation, the structure is described by so-called averaged boundary conditions. The last section is devoted to the description of the main physical effect, which consists in generation of surface waves

EQUIVALENT BOUNDARY CONDITIONS

GENERAL SOLUTION OF THE PROBLEM

ANALYSIS OF SINGULARITIES IN THE FOURIER-INTEGRALS

SURFACE WAVES

CONCLUSION