Features of relativistic electron radiation in storage rings

The formulation of the problem is due to the fact that the spectral properties of radiation in alternating magnetic fields, as compared with homogeneous fields, differ little, but the angular characteristics depend significantly on betatron oscillations. Because the dynamics of an electron in the magnetic systems of accelerators is rather complicated, a number of simplifications has been made here. The asymptotic formulas for the spectral and angular distributions of the radiation intensity with the first quantum correction have been obtained by Schwinger's operator method. For them, as well as for the angular characteristics of synchrotron light, approximate expressions are given, allowing researchers to determine the desired properties of photon emission at certain points of the electron orbit.