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This letter presents a modified stochastic finite-difference timedomain (S-FDTD) method and its perfectly matched layer (PML) implementation. In the modified algorithm, the electric field variance equation is derived from a D-H form. By using the bilinear Z transform, the algorithm is applicable for different types of dispersive materials. Based on the stretched coordinate (SC) system, the PML implementation is also proposed. Numerical examples are presented to show the effectiveness of the proposed method.

A D-H scheme stochastic FDTD method and its SC-PML implementation