# Dependence of effective spectrum width of synchrotron radiation on particle energy

## TL;DR

This paper introduces the concept of effective spectral width in synchrotron radiation, providing numerical calculations and analyzing how it depends on particle energy and initial harmonic, enhancing the quantitative understanding of spectral properties.

## Contribution

It presents a new concept of effective spectral width and offers detailed numerical calculations for polarization components in classical synchrotron radiation theory.

## Key findings

- Effective spectral width is numerically calculated for polarization components.
- The dependence of spectral width and initial harmonic on particle energy is established.
- Effective spectral width does not exceed 100 harmonics.

## Abstract

For an exact quantitative description of spectral properties in the theory of synchrotron radiation, the concept of effective spectral width is introduced. In the classical theory, numeric calculations of effective spectral width (using an effective width not exceeding 100 harmonics) for polarization components of synchrotron radiation are carried out. The dependence of the effective spectral width and initial harmonic on the energy of a radiating particle is established.