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 ...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.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant Nos.61471105 and 61331007)
文摘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.
