A T?Matrix Based Approach to Homogenize Artificial Materials

The accurate and efficient computation of the electromagnetic response objects made from artificial materials is crucial for designing photonic functionalities interpreting experiments. Advanced fabrication techniques can nowadays produce new as 3D lattices scattering unit cells. Computing arbitrary shape such typically computationally prohibitive unless an effective homogeneous medium approximates discrete material. In here, a homogenization method based on transition (T-)matrix, T e f ${T_{eff}}$ introduced. Such matrix captures exact material, determined by T-matrix isolated cell material lattice vectors, free spatial dispersion. truncation to dipolar order determines common bi-anisotropic constitutive relations. When combined with quantum-chemical Maxwell solvers, allows one compute arbitrarily-shaped volumetric patchworks structured molecular metamaterials.