A Novel Low-Dispersive Collocated FDTD Method: 3-D Case

A novel optimally accurate second-order finite-difference time-domain method was previously presented for the 1D and 2D cases. In this paper that approach is extended to the 3D case. The dispersion relation and convergence of a modified finite-difference time-domain method (MFDTD) which has fourth order convergence and excellent broadband characteristics, are presented. The accuracy of FDTD, Fang(4,4) are compared with that of the MFDTD, via direct evaluation of the dispersion relation. Convergence of the FDTD and the MFDTD are also examined