Error-Optimized ADE-ADI FDTD for Plasma

An error-optimized auxiliary differential equation-alternating direction implicit (ADE-ADI) finite-difference time domain (FDTD) method for isotropic nonmagnetized plasma is proposed based on the ADE technique. The error-optimized technique based on the Crank-Nicolson scheme is more tractable than the previous published methods. The iteration method is implemented to solve the equation set for computational efficiency improvement. The error-optimized ADI FDTD for 3-D problems is not unconditionally stable, and a comprehensible numerical method is presented to illustrate the reasons. The proposed method under two-dimensional (2-D) condition is unconditionally stable. The numerical results on a 2-D cylinder coated by plasma obtained through the proposed method indicate that the proposed method achieves high accuracy at a low cost of time and memory.