Exact charge conservation scheme for Particle-in-Cell simulation with an arbitrary form-factor

The new method of local electric current density assignment in the Particle -in-Cell code in Cartesian geometry is presented. The method is valid for a n arbitrary quasi-particle form-factor assuming that quasi-particle traject ory over time step is a straight line. The method allows one to implement t he PIC code without solving Poisson equation. The presented formula for the current density associated with the motion of a single quasi-particle is t he unique linear combination of form-factor differences in consistency with the discrete continuity equation. The computation scheme is demonstrated i n 20D and 3D. (C) 2001 Elsevier Science B.V. All rights reserved.