The Method of Moments in Electromagnetics, 3rd Edition

Chapter 6

Two-Dimensional Problems

In this chapter we will investigate scattering problems in the context of two-dimensional structures. The discussion and examples here will serve to illustrate the approach outlined in Section 3.6.3.1, practical computation of the matrix elements (3.185–3.190), and the choice of basis and testing functions. We will first consider conducting objects, and discuss the implementation of the $ℒ$ and $\widehat{n}$ × $\kappa$ operators in the EFIE and nMFIE. We will then consider dielectric objects and the $\kappa$ operator in the EFIE/MFIE, and the $\widehat{n}$ × $ℒ$ operator in the nMFIE. Because general two-dimensional problems can be split into TM- and TE-polarized sub-problems, we will consider each of these individually.

6.1 Conducting Objects ...