Extraordinary optical transmission through periodic Drude-like graphene sheets using FDTD algorithms and its unconditionally stable approximate Crank-Nicolson implementation

Shihong Wu; Yumei Sun; Mingmei Chi; Xiangguang Chen

doi:10.1038/s41598-020-74552-5

Extraordinary optical transmission through periodic Drude-like graphene sheets using FDTD algorithms and its unconditionally stable approximate Crank-Nicolson implementation

Sci Rep. 2020 Oct 15;10(1):17462. doi: 10.1038/s41598-020-74552-5.

Authors

Shihong Wu¹, Yumei Sun², Mingmei Chi², Xiangguang Chen^{2

3}

Affiliations

¹ Department of Electrical and Electronic Engineering, College of Engineering, Yantai Nanshan University, Longkou, 265713, China. shihongwu@hotmail.co.jp.
² Department of Electrical and Electronic Engineering, College of Engineering, Yantai Nanshan University, Longkou, 265713, China.
³ School of Chemistry and Chemical Engineering, Beijing Institute of Technology, Beijing, 100081, China.

Abstract

Based upon the approximate Crank-Nicolson (CN) finite-difference time-domain method implementation, the unconditionally stable algorithm is proposed to investigate the wave propagation and transmission through extremely thin graphene layers. More precisely, by incorporating the CN Douglas-Gunn algorithm, the piecewise linear recursive convolution method and the auxiliary differential equation method, the analytical model is proposed for Drude-like graphene model. To obtain the solution of the governing equations, the perfectly matched layer and the periodic boundary condition are applied to the graphene structure with two dimensional nano-materials. Numerical examples are carried out for further investigation. During the simulation, the influences of the parameters such as the grating slit and its thickness on the wave transmission are investigated and discussed. The result shows that not only the graphene grating has high transmission performance but also the proposed methods have considerable performance and accuracy.