Effects of relativistic electrons and spatial non-uniformities of density on periodic absolute parametric instability in a plasma waveguide

The proposal approach (Ȝseparation methodȝ) is significantly simpler that the method ordinarily employed in the theory of parametric resonance in nonuniform plasma. Therefore, it is of special interest to apply the separation method to solution of different problems involving parametric excitation of electrostatic waves in bounded nonuniform plasma.