Well-Conditioned 2D Models of Rod Arrays for Accelerating 3D Simulations of Photonic Crystals and Plasmonic Structures

Rod arrays consisting of finite-length cylinders are commonly used in the design of high-frequency resonance scattering assemblies, such as plasmonic, photonic-crystal, and near-zero-index structures. During the optimization of these three-dimensional structures by means of genetic algorithms, analyses with three-dimensional solvers, such as the multilevel fast multipole algorithm, create a time bottleneck. On the other hand, simulation results in many applications show features that are independent of longitudinal dimensions. For this reason, the idea of using well-conditioned solvers in two dimensions is found worth being evaluated and it is aimed to compare the two types of solvers in this study.