Method of eigenfunctions and noneigenfunctions in the theory of the beam-plasma instability of a spatially bounded electron beam
Popkov N. G.
It is shown by numerical calculations that it is possible to transform an arbitrary initial perturbation in a plasma with a bounded electron beam into an eigenfunction. The physical reasons for the establishment of this solution and the conditions for the applicability of the method of eigenfunctions and noneigenfunctions in the theory of the beam-plasma instability of bounded electron beams are studied.