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

Jiang-Fan Liu; Hao Lv; Yun Fang; Yu-Chen Zhao; Xiao-Li Xi

doi:10.1587/elex.15.20180606

LETTER

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

Jiang-Fan Liu, Hao Lv, Yun Fang, Yu-Chen Zhao, Xiao-Li Xi

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Keywords: stochastic finite-difference time-domain (S-FDTD), uncertainty, dispersive materials, perfectly matched layer (PML)

JOURNAL FREE ACCESS

2018 Volume 15 Issue 15 Pages 20180606

DOI https://doi.org/10.1587/elex.15.20180606

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Abstract

This letter presents a modified stochastic finite-difference time-domain (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.

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