Abstract
Rectangular waveguides with dielectric filling and vacuum channel are actively investigated in recent years in connection with dielectric wakefield acceleration method. Vavilov-Cerenkov radiation generated by a high current relativistic electron bunch in a rectangular waveguide is used for acceleration of a small bunch passing through the waveguide. Stability of the generating bunch is the main task that is necessary to solve for realization of this acceleration technique. The wake field generated by the electron bunch leads to attraction of bunch particles to a waveguide dielectric wall. The idea of the bunch stabilization is to add a quadrupole structure, to suppress the defocusing part of the wake field and keep focusing part of it. We combined solution for the fields generated by the relativistic electron beam propagating in the rectangular dielectric waveguide and added quadrupole focusing structure. Developed model is capable to increase the flying range for bunch particles.
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