SADDLE-POINT METHOD IN THE RADIATION PROBLEM

A new method of calculation of power spectra emitted by relativistic e lectrons has been developed. It has been shown, that one can avoid dif ficulties, connected with the rapidly oscillating integrands in the ra diation problem. The method permits one to discover the general featur es of the radiation spectra at high electron energies such as: nonsync hrotron nature of the radiation process, the saw like shape of the spe ctrum etc. A few different particular cases are considered.