On the Calculation of the Force Acting Upon a Moving Charge in a Cylindrical Drift Tube

Abstract

The Green function method in the Coulomb verification were used to calculate analytically the scalar potential and the density of charges on the walls of a perfectly conducting cylindrical drift tube, induced by a moving low relativistic point charge. In the quasi-electrostatic approximation, the force acting on the point charge from the charges induced by it on the drift tube walls, was obtained as a function of the radial distance from the axis of the tube. Interpolation expressions for the force were built. The obtained results allow to estimate the influence of cylindrical drift tube walls, when studying the dynamics of charged particle beams moving in complex electromagnetic fields by the particle-in-cell method.