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Abstract

Relativistic electron motion in a time varying, uniform, uni-directional electric field is examined. The information obtained is applied to study the dynamics of an electron beam which is injected uniformly at low energy into a high field intensity, long transit angle pre-accelerator cavity. Numerical calculations are made for a particular cavity, and the results are presented in graphical form. The equations of motion of an electron in a travelling wave are derived and used to obtain numerical data on a particular main accelerator. This data is presented in graphical form and is designed to be used in conjunction with the pre-accelerator results to supply information on the joint operation of the pre-accelerator and the main accelerator.