On antiparaxial factorization for axisymmetrical relativistic electron beams

The highest antiparaxial approximation is achieved for relativistic beams, taking into account the intrinsic anguetic field and in the absence of the external magnetic field. The solution of external problem on the basis of simplification of K.Harker's results is given. The issue of factorization accuracy is investigated and the results of applying nonlinear D.Shanks transformation to the series which describe flux parameters, are presented