Beam stability in strongly magnetized pair plasmas. Part 1

Abstract

We present a detailed ab initio calculation of wave modes in a strongly magnetized pair-plasma slab (which we shall refer to as a beam) embedded in a pair plasma of different number density. We consider a planar geometry and treat the case of small beam thickness, for which approximate analytical results can be obtained and compared with numerical calculations. We briefly compare our results with those found by others in the case of cylindrical geometry as applied in the context of radio pulsars.