Radiation field of an ideal thin Gaussian bunch moving in a periodic conducting wire structure

Abstract

A theoretical approach for describing the electromagnetic radiation produced by a prolonged electron bunch propagating in the lattice of metallic wires of finite length is presented. This approach is based on the vibrator antenna theory and involves the approximate solving of Hallen's integral equation. For a single wire, it is also supposed that a wire is sufficiently thin and charge motion is relativistic. For many-wire structures, the approximation similar to the kinematic approach of the parametric x-ray radiation theory is additionally applied. The validity of the method is verified by numerical simulations with COMSOL Multiphysics. Possible applications of the interaction between charged particle bunches and artificial wire structures are discussed.

Frequency-domain calculation of Smith-Purcell radiation for metallic and dielectric gratings

“…[17,37,42]; however, none of these papers describes the method of simulation, and it is hard to deduce how radiation energy was calculated. A description of the simulation method can be found in papers which report frequency-domain calculations of Cherenkov radiation [43][44][45], but these papers do not compute radiated energy. All of the Refs.…”