Transient analysis of a magnetized plasma in three-dimensional space

The time-domain formation, in terms of unified nodal equations, of a magnetized cold plasma in three-dimensional space using the Bergeron method is described. The validity of this treatment is shown by simulations of both transverse propagation and longitudinal propagation. In the formulation of the characteristic equation in the time domain, the authors introduce variables corresponding to the first and second derivates of the electric polarization. Thus the iterative computation can be performed by using only the values obtained at the previous time step. This procedure very closely matches the architecture for high-speed computation in the vector processor of a supercomputer. This property can render practical the simulation of three-dimensional fields involving gyroelectric anisotropic media and expand the generality of the numerical vector analysis method in the time domain.<>