Extraordinary optical transmission through periodic Drude-like graphene sheets using FDTD algorithms and its unconditionally stable approximate Crank-Nicolson implementation
Autor: | Shihong Wu, Xiangguang Chen, Chi Mingmei, Yumei Sun |
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Rok vydání: | 2020 |
Předmět: |
Differential equation
Mathematics and computing lcsh:Medicine Physics::Optics Extraordinary optical transmission 02 engineering and technology Grating Article law.invention Engineering law 0202 electrical engineering electronic engineering information engineering Crank–Nicolson method Periodic boundary conditions lcsh:Science Physics Multidisciplinary Graphene lcsh:R Finite-difference time-domain method 020206 networking & telecommunications 021001 nanoscience & nanotechnology Perfectly matched layer Optics and photonics lcsh:Q 0210 nano-technology Algorithm |
Zdroj: | Scientific Reports Scientific Reports, Vol 10, Iss 1, Pp 1-16 (2020) |
ISSN: | 2045-2322 |
Popis: | 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. |
Databáze: | OpenAIRE |
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