“…The electromagnetic radiation of a charge particle as well as a charge distribution within a waveguide region or a resonator cavity has been extensively treated in the literature. Several authors have investigated the radiation of electron beams in metallic waveguides and cavities for the study of RF photo-injectors [1,2]. Other classical problem related with this topic is the evaluation of the wakefields generated by particles moving linearly at constant velocity [3,4,5,6,7,8,9,10,11,12,13,14].…”