An empirical dielectric mixture expression and its application to composites

In this contribution, we focus not only on predicting the dielectric properties of heterogeneous media but also on extracting the topological description of such materials. We propose a novel empirical expression for binary dielectric mixtures with phase permittivities ε₁ and ε₂. The expression is derived for a scaled permittivity level, denoted with ξ[=(ε_e-ε₁)(ε₂-ε₁^-1], here subscript ´e´ represents the permittivity of the effective medium. The proposed expression yields the volume fraction of constituents and topological information when the permittivities of the constituents are known in advance. We apply the expression to various selected composites to acquire the structure-property relationship in these materials.