Chapter 5 - Dielectric Bodies: TDIE Solution

Abstract

This chapter develops the numerical solution methods to solve the time domain (TD) integral equations involving dielectric bodies. We consider the solution schemes for infinite cylinders of arbitrary cross-section (two-dimensional problems) and also finite-sized, arbitrary-shaped bodies (three-dimensional problems). The chapter considers the explicit solution schemes only as implicit solution schemes are currently not available for dielectric bodies. However, it should be a relatively easy task to extend the explicit solution schemes to develop implicit algorithms. There exist many situations in which the scattering from dielectric material bodies is important. Most of the present-day antenna structures involve some kind of dielectric material for the purpose of either feed support or ground plane coverage. Furthermore, many conducting scatterers are either selectively or entirely coated with radar-absorbing materials to reduce the electromagnetic visibility. Lastly, almost all the biological applications involve dielectric bodies. The formulation of the integral equations is also presented using the equivalence principle. Also, the chapter provides a solution to two- and three-dimensional problems along with some representative examples.