Improved calculation of space charge forces in nonstationary electron beams

The method of space charge forces calculation in nonstationary electron beams using boundary elements equations are proposed. For 1D task the consistent scheme of distribution between mesh points of particle charges and calculation of electric field acting on particle is considered. This scheme eliminates effect «self-action» of particles but decreases the accuracy of force acting between two particles placed in one cell of mesh. Upon well known equation for potential in calculated area for integral equation method the radial and axial components of electric field from ring particle is founded for 2D axial model by differentiation of this equation.