中国物理B ›› 2018, Vol. 27 ›› Issue (10): 100204-100204.doi: 10.1088/1674-1056/27/10/100204

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇    下一篇

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)   

  1. School of Physics, University of Electronic Science and Technology of China, Chengdu 610054, China
  • 收稿日期:2018-04-27 修回日期:2018-07-30 出版日期:2018-10-05 发布日期:2018-10-05
  • 通讯作者: Wei Shao E-mail:weishao@uestc.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 61471105 and 61331007).

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)   

  1. School of Physics, University of Electronic Science and Technology of China, Chengdu 610054, China
  • Received:2018-04-27 Revised:2018-07-30 Online:2018-10-05 Published:2018-10-05
  • Contact: Wei Shao E-mail:weishao@uestc.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 61471105 and 61331007).

摘要:

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.

关键词: locally one-dimensional finite-difference time-domain, metallic nanoparticle, sub-gridding, surface plasmon polaritons

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.

Key words: locally one-dimensional finite-difference time-domain, metallic nanoparticle, sub-gridding, surface plasmon polaritons

中图分类号:  (Finite-difference methods)

  • 02.70.Bf
02.60.Cb (Numerical simulation; solution of equations) 92.60.Ta (Electromagnetic wave propagation)