Integral Equation Formulation for Planar Plasmonic Nano Structures in Layered Media

In this paper, an integral equation formulation for planar plasmonic structures in layered media is developed. First, closed-form spatial domain Green's functions arc obtained using the discrete complex images method. Then, the boundary conditions along the localized plasmonic structures are applied and written in the form of an integral equation. Finally, the Method of Moments (MoM) is applied where the integral equation is transformed into a matrix equation, which is solved using traditional matrix routines. The developed solver is applied on a square patch nano antenna fed with a plasmonic transmission line. Its accuracy is compared with CST microwave studio and a very good agreement between the results is observed. The proposed solver has a number of appealing features such as the small number of unknowns and the absence of truncation boundaries, which makes it suitable for nano antennas.