Determining the divergence of an ultra-relativistic electron beam from the diffracted transition radiation in a single-crystal target

We have studied the possibilities of using diffracted transition radiation excited by a relativistic electron beam in a single-crystal target to determine the beam divergence. For this purpose, we investigated the expressions we had previously derived that describe the angular density of diffracted transition radiation excited by a relativistic electron beam crossing a thin single-crystal plate. In our calculations, we used the two-parameter model distribution function to represent the angular distribution of ultra-relativistic electrons in the beam. For determining the beam divergence parameters, the methods of two-dimensional objective function minimization were used. The model calculations we performed confirm the efficiency of the above-mentioned methods for determining the divergence of a relativistic electron beam.