Extremely Low Dispersion Higher Order (2,4) 2-D-FDTD Scheme for Maxwell-Boltzmann System

An extremely low dispersive algorithm based on two-dimensional higher-order (2,4) (H(2,4)) finite-difference time-domain method is developed for calculating a Maxwell-Boltzmann system. To minimize large numerical errors near the plasma frequency, a two-step process is proposed. In the first step, the weighted sum of the H(2,4) and Yee schemes is obtained, and correction of the electron density and collision frequency of weakly ionized plasma is implemented in the second step. With this process, the proposed scheme accurately estimates the electron density and collision frequency of weakly ionized plasma. Lastly, two plasma problems are solved to verify the validity of the proposed scheme.