A 3D modified FDTD (2,4) algorithm for improving phase accuracy with low resolution

Abstract

A finite difference time domain method with low dispersion for time harmonic waves in 3D is presented. The method uses finite difference operators which are second order in time and fourth order in space with two independent optimization factors. The factors are used to minimize the phase error of the wave which enables the use of low resolution grids thus reduces the required memory. Good results for the phase accuracy are obtained compared with the second order Yee algorithm for the case of radiation from time-harmonic infinitesimal dipole.