Fast and Accurate Investigation of 2-D Multilayered Photonic Crystals by a 3-D Model Based on the Green's Function

In this paper, a 3-D model based on the Green's function for analyzing wave propagation in 2-D guided-wave photonic crystals (PhCs) is proposed. The model allows analysis all the physical effects occurring when a source field propagates in a multilayered structure with a periodic arrangement of scatterers, by taking into account both physical and geometrical parameters. Numerical results for PhC waveguides are compared with those obtained using the well-known finite-difference time-domain algorithm and the 3-D multiple-scattering technique already proposed in the literature, showing a very good agreement and some remarkable advantages, in terms of faster determination of electromagnetic field distributions and band diagrams and capability to analyze both in-plane and out-of-plane scattering losses.