Matching beams from relativistic electron guns into solenoidal transport systems

In this paper we develop a new approach for controlling the electron trajectories in a relativistic electron beam diode which is based on appropriately contouring an externally generated, axial magnetic field. The technique provides a convenient method of matching a beam produced by a shielded source injector into a uniform solenoidal transport system of a linear induction accelerator. To illustrate the method, we analyze a simple diode geometry and compare the analytical results with trajectory code calculations.