“…The basic Equation (32) can be reduced to the scalar equation (Sapogin et al, 1984(Sapogin et al, , 1988(Sapogin et al, , 1991 for the density of the space charge of the space charge of the bunch, which represents the particles: (Sapogin et al, 1984(Sapogin et al, , 1988(Sapogin et al, , 1991:…”