Method of moment for dielectric scatterers by using block modeling with Galerkin's method

The scattering characteristics of dielectric bodies are of great interest in many problems, e.g., design of printed antenna on a dielectric substrate and the power absorption by human bodies. The finite difference time domain (FDTD) is a powerful numerical technique and has been applied to many problems including the dielectric bodies. However, the FDTD method cannot be applied to problems including antennas of curved structures such as helical and spiral antennas. The method of moment (MoM) is the most suitable method for such problems. However, for the case including the dielectric material, the integral equation is expressed by a volume integral equation and the CPU time for calculating the mutual impedance between the dielectric blocks could be enormous. Therefore, the point matching technique has been used to reduce the CPU time, but it is difficult to obtain an accurate solution especially when this technique is applied to a problem of antennas near and on the dielectric body. In this paper, the mutual impedance between dielectric blocks for the Galerkin-MoM analysis is expressed as a triple integral form instead of the the double volume integral. Numerical results are shown to demonstrate the accuracy and the short CPU time of the proposed procedure.