Abstract
The return current and the electric and magnetic fields are investigated that result from injection of a relativistic electron beam of arbitrary radial and axial density profile into a plasma. It is found that, in general, the radial step function profile used in previous calculations overestimates the resulting Bphi -field by a factor r omega p/c. Radial density profiles with slow variation over one skin depth c/ omega p yield a Bphi field screening of order (c/r omega p)2, where r is the scale length of the radial inhomogeneity. The results apply to the first (inertial) stages of beam injection, where collisions can be ignored.
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