Accurate and Efficient Finite-Difference Time-Domain Formulation of Dusty Plasma

Abstract

The finite-difference time-domain (FDTD) method has been widely used for the electromagnetic analysis of complex dispersive media. The shift-operator (SO)-FDTD or auxiliary differential equation (ADE)-FDTD formulation has been mainly employed for dusty plasma. Each FDTD formulation has its own pros and cons. SO-FDTD is accurate but not computationally efficient. ADE-FDTD needs less computational resources but its accuracy is poor. Here we propose an accurate and efficient FDTD formulation for dusty plasma, based on the bilinear transformation (BT). We perform a comprehensive study on the numerical permittivity and the computational efficiency for three FDTD formulations. Numerical examples are employed to illustrate that the proposed BT-FDTD outperforms the previously reported FDTD formulations for dusty plasma. In addition, based on the proposed BT-FDTD simulations, the effect of dust particles on EM wave propagation is investigated in the GHz band and THz band.