Analysis of electromagnetic wave propagation considering continuity of polarization current by using vector facet elements

A method for calculating the electromagnetic wave propagation considering continuity of polarization current is presented. An electric field integral equation is used along with the moment method to develop an efficient procedure for numerical analysis of thin dielectric slabs such as the printed circuit boards (PCBs). In order to accurately treat the polarization charge and current conditions, the basic function of facet elements is used, by which it is possible for divergence of polarization current in a subdivided volume element to be exactly zero. The internal electric field of the dielectric sphere agrees with the theoretical value. The calculated impedance characteristic of the PCBs is in good agreement with prediction of the patch antenna theory.