Effect of transition radiation and dispersion spreading at achievement of a large transformer ratio of driver-bunch energy into wakefield in a dielectric resonator accelerator

PROBLEMS OF ATOMIC SCIENCE AND TECHNOLOGY ISSN 1562-6016 v4 2019 pp. 48-54 Possibility of increase of transformer ratio TR in the case of the profiled sequence of bunches at their injection in a two-beam electron-positron dielectric-resonator collider is considered. Unlike considered earlier the waveguide case, for which TR is equal to the doubled number of bunches of sequence which provide a contribution to the total wakefield, and which is limited by the effect of the group velocity, in a resonator this limitation is absent. For deri-vation in the case of resonator of TR, proportional to the number of bunches, as well as in the waveguide, the ratio of bunch charges is selected to be equal 1:3:5: ..., lengths of bunches, equal to the half of wavelength, interval be-tween bunches is multiple to the wavelength. The effect of transition radiation and dispersion spreading on the transformer ratio is studied by numerical simulation.