P. Thoma et T. Weiland, A CONSISTENT SUBGRIDDING SCHEME FOR THE FINITE-DIFFERENCE TIME-DOMAINMETHOD, International journal of numerical modelling, 9(5), 1996, pp. 359-374
Recently, the simulation of high frequency devices has become of incre
asing importance due to the demand for faster development processes. T
he Finite Difference Time Domain (FDTD) method has been proved to be a
n efficient tool for the simulation of electromagnetic phenomena. In t
he paper we derive a new consistent three-dimensional subgridding sche
me for the Finite Integration Technique. In the time domain the latter
method reduces to FDTD when only cubical cells are used. The subgridd
ing extension can help to achieve accurate models of small structure d
etails without heavily decreasing numerical efficiency while the prope
rties of continuous Maxwell equations are still conserved in the grid
space. After studying numerical dispersion and stability, the applicab
ility of the method is demonstrated by regarding an example studying s
cattering at a small post in a rectangular waveguide.