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Hybrid sub-gridding ADE-FDTD method of modeling periodic metallic nanoparticle arrays |
| Tu-Lu Liang(梁图禄), Wei Shao(邵维), Xiao-Kun Wei(魏晓琨), Mu-Sheng Liang(梁木生) |
| School of Physics, University of Electronic Science and Technology of China, Chengdu 610054, China |
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Abstract In this paper, a modified sub-gridding scheme that hybridizes the conventional finite-difference time-domain (FDTD) method and the unconditionally stable locally one-dimensional (LOD) FDTD is developed for analyzing the periodic metallic nanoparticle arrays. The dispersion of the metal, caused by the evanescent wave propagating along the metal-dielectric interface, is expressed by the Drude model and solved with a generalized auxiliary differential equation (ADE) technique. In the sub-gridding scheme, the ADE-FDTD is applied to the global coarse grids while the ADE-LOD-FDTD is applied to the local fine grids. The time step sizes in the fine-grid region and coarse-grid region can be synchronized, and thus obviating the temporal interpolation of the fields in the time-marching process. Numerical examples about extraordinary optical transmission through the periodic metallic nanoparticle array are provided to show the accuracy and efficiency of the proposed method.
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Received: 27 April 2018
Revised: 30 July 2018
Accepted manuscript online:
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PACS:
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02.70.Bf
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(Finite-difference methods)
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02.60.Cb
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(Numerical simulation; solution of equations)
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92.60.Ta
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(Electromagnetic wave propagation)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61471105 and 61331007). |
Corresponding Authors:
Wei Shao
E-mail: weishao@uestc.edu.cn
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Cite this article:
Tu-Lu Liang(梁图禄), Wei Shao(邵维), Xiao-Kun Wei(魏晓琨), Mu-Sheng Liang(梁木生) Hybrid sub-gridding ADE-FDTD method of modeling periodic metallic nanoparticle arrays 2018 Chin. Phys. B 27 100204
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