Assessment of the efficiency of sphere and torus recharging to achieve ultra-high quasi-electrostatic potentials
An important component of the quasi-electrostatic acceleration method to determine the optimal configuration of a macroscopic body is considered. An analytical solution of the scattering problem on a macroscopic body taking into account its charging is presented. The process of scattering and absorption of relativistic positrons on a charged sphere and torus in Comsol Multiphysics is visualized. The dependence of absorption efficiency on the beam radius for each body is obtained. It is concluded that for given parameters in the case of a cylindrical beam the absorption efficiency for a sphere is 7 % higher than for a torus, and when a circular beam is used the absorption efficiency for a torus increases by 14 %. The results obtained could be used in further research on achieving ultra-high quasi-electrostatic potential and the development of a new type of accelerator, the operation of which is based on this principle.