Computational Method for Calculating the Effective Permittivity of Complex Mixtures

This work presents a computational method for the calculation of the effective complex permittivity of a heterogeneous material using its microscopic properties and structure. The new method to calculate the effective properties aims to guarantee that the electric energy stored and dissipated by the heterogeneous material is the same. The analysis of a bi-phase mixture with periodic cubic sample was tested to check the homogenization of the material. An iterative procedure that corrects the initial permittivity yields an electric field distribution of the effective material that is in good agreement with the electric field of the real mixture.