Stochastic WLP-FDTD Method Using MC-CC Scheme for Simulating EM Wave Propagation in Random Magnetized Plasma

In this article, an unconditionally stable (US) stochastic weighted Laguerre polynomials (WLPs)-based finite-difference time-domain (S-WLP-FDTD) method is presented to model electromagnetic (EM) wave propagation in random magnetized plasma media. The Monte Carlo correlation coefficients (MC-CC) scheme is employed to obtain correlation coefficients between the electrical properties of the plasma materials in the model and the fields propagating in them. This procedure significantly improves the accuracy of the S-WLP-FDTD method. The variabilities of plasma frequency and collision frequency of the plasma are both considered in the proposed method. The accuracy and efficiency of the proposed MC-CC S-WLP-FDTD method are validated by numerical examples. Moreover, the effects of random variation of plasma frequency and collision frequency on EM wave propagation in plasma are analyzed. Finally, we demonstrate the transient evolution of the mean and standard deviation fields in random magnetized plasma.