Influence of the reflectivity of a crystal on the angular distribution of diffracted transition radiation of relativistic electrons

Abstract

The influence of the angular profile of crystal reflectivity on the assessment of the divergence of a beam of relativistic electrons is studied through measurements of the angular distribution of diffracted transition radiation. The results show that, when the angular distribution of reflectivity is taken into account, the obtained divergence values are close to the true values. Failure to take this effect into account leads to systematic errors in determining the horizontal divergence. The magnitude of the error depends on the beam divergence and is inversely proportional to the square of the energy of the reflected photons.