Modelling of photonic bandgap devices using Green’s Function

In this paper, a new model for simulating wave propagation in photonic crystal structures (PhC or Photonic Band-Gap, PBG) is presented. The devices, composed by two-dimensional periodic grating, have been rigorously analyzed using Green’s Function (GF), rearranged to fit on the geometrical properties of the structure. The model is able to define all the physical effects occurring when a wave propagates inside the periodic structure, taking into account several physical and geometrical parameters, such as the lattice constant and the refractive index of the media. The results of the implemented model show a very good agreement with those expected with some significant advantages as fast determination of the electromagnetic field distribution and band diagram and capability to analyze the effect of in-plane scattering produced when the implemented structure is illuminated by a plane wave.