Simplified FDTD model of electromagnetic wave propagation in magnetized plasma

A new finite-difference time-domain (FDTD) model of electromagnetic wave propagation in magnetized ionospheric plasma is presented that is simple to implement. This new anisotropic model permits the use of two time steps, one for Maxwell's equations and the second for the Lorentz equation of motion. This is particularly useful for scenarios in which a high collision frequency or a high background magnetic field intensity is present, in which case the Lorentz equation of motion may require a significantly smaller time step than Maxwell's equations. A major advantage of this algorithm is its ability to update the current density equation with a single update even when the current density time step increment is smaller than the time step increment for Maxwell's equations.