In this chapter we will investigate scattering problems in the context of twodimensional structures. The discussion and examples here will serve to illustrate the approach outlined in Section 184.108.40.206, as well as practical implementation 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 nˆ × K operators in the EFIE and nMFIE. We will then consider dielectric objects and the K operator in the EFIE/MFIE, and the nˆ× 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.