2D Green’s tensor for the analysis of dielectric structures with translational geometries

Abstract

In this work we present simulations of dielectric structures based on the volume integral method. The formalism is based on the solution of Helmholtz equation using the Green’s tensor technique. By using this technique, the second order differential equation (Helmholtz equation) is transformed into an implicit integral equation. In this work the two dimensional Green tensor will be derived in order to study dielectric structures with translational symmetry. The method is firstly compared with other methods existing in the literature for homogeneous circular dielectric cylinders in order to test the validity of the method proposed. Then numerical simulations of other structures such as dielectric cylinders with elliptical base are performed.