Tridiagonalized WLP-FDTD Implementation for Wave Propagation in Magnetized Plasma

We present an efficient implementation of the unconditionally stable finite-difference time-domain (FDTD) algorithm based on the weighted Laguerre polynomials (WLPs) for the modeling of wave propagation in magnetized plasmas. The sparse matrix equation is tri-diagonalized by using a factorization-splitting (FS) scheme, leading to a significant reduction in computational time. The algorithm is validated by numerical experiments.