The plasma wake field accelerator

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Abstract
A new scheme of electron acceleration, employing relativistic electron bunches in a cold plasma, is analyzed. The wake field of a leading bunch is derived in a single‐particle model. We then extend the model to include finite bunch length effect. In particular, we discuss the relation between the charge distributions of the driving bunch and the energies transformable to the trailing electrons. It is shown that for symmetric charge distribution of the driving bunches, the maximum energy gain for a driven electron is 2γ0 m c 2. This limitation can be overcome by introducing asymmetric charge distributions, in which case energy gains up to √1̄+(1−π/2+k p ‖ζ0‖)2 γ0 m c 2 are possible.

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