ANALYSIS OF COMPOSITE DIELECTRIC METAMATERIALS USING INTEGRAL EQUATION TECHNIQUES

Abstract

We study numerically the electromagnetic scattering properties of three dimensional (3D), arbitrary shaped composite dielectric metamaterials. Using integral equation techniques, we first derive a surface integral equation formulation which produces well-conditioned matrix equation. To solve the obtained integral equations, we apply a Galerkin scheme and choose the basis and testing functions as Rao-Wilton-Glisson defined on planar patches. We then develop an algorithm to speed up the matrix-vector multiplications by employing the well-known method of moments (MoM) and the multilevel fast multipole algorithm on personal computer (PC) clusters. Some 3D numerical examples are presented to demonstrate the validity and accuracy of the proposed approach.