Dependence of effective spectrum width of synchrotron radiation on particle energy

Abstract

In the classical theory of synchrotron radiation, for the exact quantitative characterization of spectral properties, the concept of effective spectral width is introduced. In the first part of our work, published in EJPC 75 (2015), the effective spectral width as a function of the energy E of the radiating particle was obtained only in the ultra-relativistic approximation. In this article, which can be considered as a natural continuation of this work, a complete investigation is presented of the dependence of the effective width of the synchrotron radiation spectrum on energy for any values of E and for all the polarization components of the radiation. Numerical calculations were carried out for an effective width not exceeding 100 harmonics.

The Features Radiation of a Charged Particle Moving Along an Arc of a Circle

“…Recently discovered new properties of synchrotron radiation (SR) (see [1] and subsequent works [2][3][4][5]) gave a new impulse to the development of the SR theory. One of the questions of the SR theory is the study of the radiation characteristics of an electron moving along an arc of a circle.…”