Second Harmonic Generation from Metallic 2-D Scatterers

We have developed a model based on a Green function approach to numerically investigate the second harmonic generation process in two dimensional metallic nano-objects. The linear optical response of metals in the visible regime is modeled by taking into account both free and bound electrons contributions. On the other hand, at this stage, only the contribution of free electrons is considered for the nonlinear response. Both bulk and surface nonlinear polarization source terms have been evaluated for objects of arbitrary shape. We show that our model has the potential for further improvements and could be a useful tool to investigate second harmonic emission by single or periodically arranged metallic sub-wavelength objects in a dielectric host material.