Analysis of focusing effects of 3D photonic crystal lens by the method of moments

Photonic crystals, which are artificial periodic structures in which dielectric particles are arranged with a periodicity of the order of the optical wavelength, have received great attention as they are expected to play an important role in optoelectronic applications. It has been proven, both theoretically and experimentally, that photonic crystals possess the attractive property of bandgap effect, allowing propagation of light in one frequency range while stopping propagation in another range. We use the method of moments (MoM) to analyze 3D finite photonic crystals for a new application, namely the focusing effect. The number of dielectric particles forming the photonic crystal is of the order of several thousands and the total number of unknowns is of the order of hundred thousands. For this large-scale electromagnetic simulation, we recourse to a low-cost Beowulf parallel computing system.