Abstract
A theoretical description of the wakefield effect is presented for a relativistic electron beam propagating through a tenuous background plasma. In terms of plasma density, beam current, beam current risetime and geometrical factor of the system, the theory determines several critically important wakefield quantities, including radial profile of the induced axial electric field and its strength. It is found from the theory and simulation that the strength of the wakefield effects increases with beam current and plasma density. However, the wakefield strength decreases significantly as the beam current risetime increases.
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