Homogenization of composites using full-wave point-dipole model

Abstract

We propose a full-wave point-dipole-based scheme for accurate material homogenization of composites. Unlike conventional homogenization approaches which employ periodic boundary conditions for the effective permittivity extraction, the proposed technique can efficiently compute the interactions between the scatterers even in inhomogeneous mixtures as well as aperiodic arrangement of a finite number of scatterers. The method utilizes each inclusion as a basis function, and thereby sidesteps the computational burden to discretize each inclusion scatterer. In addition, the supplementary analytical calculations provide closed-form expressions to deal with the field singularities and to calculate the mutual interaction between the scatterers. We demonstrate that the proposed homogenization scheme can precisely extract the composite permittivity profile of a finite size specimen.