FDTD Simulations of Surface Plasmons Using the Effective Permittivity Applied to the Dispersive Media

This paper presents the analysis of electromagnetic fields in random metallic materials for plasmonics applications. In this context, the two-dimensional finite- difference time-domain (2D-FDTD) method is used to simulate the surface Plasmons (SPs), with the perfectly matched layer (PML). To solve the problem, the idea of effective permittivity for the curved surface is applied to the dispersive media, while the Z-transform method is applied to the Drude model. The numerical results obtained by 2D -FDTD for circular silver cylinders are given and discussed.