The Structure of the Singularity Involved in the Problem of Formation of Paraxial Quasi-Axially Symmetric Relativistic Electron Beams

摘要

Relativistic beams formed in the ρ and T emission modes are considered. The structure of the singularity involved in the analysis of such beams is revealed and described by a single power function or a linear combination of two power functions. These functions correspond to one or two branch points, respectively. The asymptotic decompositions of solutions to the interior and exterior problems for a spatial paraxial beam with a circular cross section are regularized in the general case.