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SURFACE INTEGRAL EQUATION FORMULATION FOR THE ANALYSIS OF SINGLE AND MULTI-LAYER DIELECTRIC ANTENNAS

This article studies numerically the electromagnetic scattering properties of three dimensional (3D), arbitrary shaped dielectric resonator antennas which are composed of single and multi-layered (composite) dielectric materials. Using the equivalence principle and the integral equation techniques, we first derive a surface integral equation (SIE) formulation which produces well-conditioned matrix equation. 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 method (MLFMM) on personal computer (PC) clusters. To solve the obtained integral equations, we apply a Galerkin scheme and choose the basis and testing functions as Rao-Wilton-Glisson (RWG) defined on planar patches. Finally, we present some 3D numerical examples to demonstrate the validity and accuracy of the proposed approach.