Effective spectrum width of the synchrotron radiation

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.

Numerical Analysis of the Location of Spectral Maxima of Synchrotron Radiation Polarization Components in Classical Theory

“…It is also easy to see from where a s -numbers, approximate values of ones are equal (see [16]) to a 3 ≈ 0, 215881 , a 1 ≈ 0, 372875 , a 0 ≈ 0, 428718 , a 2 ≈ 0, 503287 , a −1 ≈ 0, 783608 . (3.…”

“…To reveal these differences, a new form of expression (2. 1)) has been proposed in [16] It can be represented as…”

On elastic scattering amplitude of planar charged fermions in a constant magnetic field

“…As regards low initial Landau levels n = 0 the calculations are not so simple and can be performed numerically. Here, it will be noted that photons emission of charged massive particles (electrons) in low initial Landau levels in an external magnetic field was analyzed in [49][50][51] (see, also, references therein).…”

Dependence of effective spectrum width of synchrotron radiation on particle energy

“…In this case, the analytical study of effective spectral width and other physically interesting quantitative characteristics for spectral distributions of SR polarization components can be significantly extended. This study was carried out in [13].…”