Extension of the LOD-FDTD Method to Accurately Investigate the Transmission Properties of the Magnetized Graphene-based Structures

In this paper, we make an extension of the conventional two-step locally one-dimensional finite-difference time-domain method (LOD-FDTD) to simulate the magnetostatic field biased graphene sheet. Unlike the LOD-FDTD method developed recently, the proposed one calculates the isotropic part of the surface conductivity of the graphene with the two-step LOD-FDTD method and a simple extra computation process for the anisotropic part. To check the accuracy and efficiency, we carried out numerical experiments and the total transmission coefficient of the magnetized graphene sheet were calculated. It is found that the results computed by our proposed LOD-FDTD method are more accurate than the conventional two-step LOD-FDTD method with almost the same computational time.