Effective spectrum width of the synchrotron radiation

TL;DR

This paper introduces the concept of effective spectrum width for synchrotron radiation, providing precise spectral descriptions, especially in the ultrarelativistic limit, including new results for circular polarization within classical theory.

Contribution

It defines and calculates the effective spectrum width for SR, including the first classical derivation of the circular polarization spectral distribution in the upper half-space.

Findings

Effective spectrum width is quantitatively characterized.

Spectral distribution for circular polarization in SR is derived.

New insights into spectral structure in the ultrarelativistic limit.

Abstract

For an exact quantitative description of spectral properties of synchrotron radiation (SR), the concept of effective width of the spectrum is introduced. In the most interesting case, which corresponds to the ultrarelativistic limit of SR, the effective width of the spectrum is calculated for the polarization components, and new physically important quantitative information on the structure of spectral distributions is obtained. For the first time, the spectral distribution for the circular polarization component of the SR for the upper half-space is obtained within classical theory.