ELECTRIC FIELD DISCONTINUITY-CONSIDERED EFFECTIVE-PERMITTIVITIES AND INTEGRATION-TENSORS FOR THE THREE-DIMENSIONAL FINITE-DIFFERENCE TIME-DOMAIN METHOD

Electric field Discontinuity-Considered Effective-Permittivities and Integration-Tensors (DC-EP&IT) for the three-dimensional Finite-Difference Time-Domain (FDTD) method are derived using a contour-path approach that considers the jump in the electric field at the interface of two dielectric materials. This is a natural but not so obvious extension to the work by Mohammandi et al. [1] from two to three-dimensions. Proposed method is verified by comparing with the exact Mie theory as well as the staircase, volume-averaged and subpixel methods.