A Relativistically Corrected Three Dimensional Space Charge Analysis of Electron Bunching

A technique for evaluating the radial and longitudinal forces present within a moving volume of charge is presented. For an assigned array, based on a given set of initial conditions, the bunch is replaced by a volume mesh comprising a series of cylinders and surrounding annulii. The coordinates of these elements are monitored to provide changing charge distribution and bunch shape information during the trajectory. Owing to the rigorous design requirements of the MIT high dutyfactor linear accelerator, studies have concentrated on the problems of attaining monochromatic bunches of small dimensions suitable for injection into the accelerator waveguide system. 1 Concomitantly, voltage depression effects and reduction of space charge fields due to the presence of conducting walls are included in this presentation.