A Stochastic HIE-FDTD Algorithm for Modified Lorentz Model

In this paper, a stochastic hybrid implicit-explicit finite-difference time-domain (S-HIE-FDTD) method is proposed for calculating electromagnetic wave propagation in random dispersive media described by modified Lorentz model. The stability condition of the proposed method is proven not to be restricted by the grid size in the direction of fine structures. Numerical results of a multilayer biological tissue model and frequency selective surface (FSS) show good accuracy and efficiency of the proposed S-HIE-FDTD method when compared to traditional stochastic FDTD and Monte Carlo method for problems with fine structures in one direction. This algorithm will have wide potential applications in biomedicine, electromagnetism, geophysical exploration, and other related fields.