Radiation from a charge circulating inside a waveguide with dielectric filling

TL;DR

This paper analyzes the radiation emitted by a charge moving in a circle inside a dielectric-filled cylindrical waveguide, deriving energy flux expressions for TE and TM modes and comparing results with synchrotron radiation.

Contribution

It provides new formulas for radiation energy flux in a waveguide with dielectric filling and compares these with synchrotron radiation in homogeneous media.

Findings

Radiation power depends on waveguide radius, charge orbit radius, and dielectric permittivity.

Numerical results show how emitted quanta vary with system parameters.

Comparison indicates differences between waveguide radiation and free-space synchrotron radiation.

Abstract

The emitted power of the radiation from a charged particle moving uniformly on a circle inside a cylindrical waveguide is considered. The expressions for the energy flux of the radiation passing through the waveguide cross-section are derived for both TE and TM waves. The results of the numerical evaluation are presented for the number of emitted quanta depending on the waveguide radius, the radius of the charge rotation orbit and dielectric permittivity of the filling medium. These results are compared with the corresponding quantities for the synchrotron radiation in a homogeneous medium.