A T-matrix Based Approach to Homogenize Artificial Materials

Abstract

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

References in corpus (8)

• Nonlocal Homogenization Model for a Periodic Array of Epsilon-Negative Rods
• CELES: CUDA-accelerated simulation of electromagnetic scattering by large ensembles of spheres
• Calculation of the T-matrix: general considerations and application of the point-matching method
• Nonlocal homogenization theory in metamaterials: effective electromagnetic spatial dispersion and artificial chirality
• A Comprehensive Multipolar Theory for Periodic Metasurfaces
• Hollow-core infrared fiber incorporating metal-wire metamaterial
• Retrieval of material parameters for uniaxial metamaterials
• Mesoscopic magnetism in dielectric photonic crystal meta materials: topology and inhomogeneous broadening

Cited by in corpus (3)

• A General and Transferable Local Hybrid Functional for Electronic Structure Theory and Many-Fermion Approaches
• Separating the Material and Geometry Contribution to the Circular Dichroism of Chiral Objects Made from Chiral Media
• Singular value decomposition to describe bound states in the continuum in periodic metasurfaces