Resonant Excitation of Selected Modes by a Train of Electron Bunches in a Rectangular Dielectric Wakefield Accelerator

By analysis and simulation, the effect of wakefield superposition to high amplitude is demonstrated for an arbitrary rectangular geometry which is more realizable in experiment compared with the planar slab geometry. Obtaining an intense peaked wake field in a rectangular dielectric waveguide involves the resonant excitation of only the equally spaced modes within the entire set of waveguide eigen modes which occurs when there is a coincidence between the repetition frequency of the bunch sequence and the frequency difference between selected modes.