Calculating the Effective Permittivity and Permeability of Composites Based on the Dilution Process Model

Abstract

In order to solve the engineering problem of calculating the effective permittivity and permeability of composites, this paper introduced a dilution process model (DPM) which sets the composite of the highest particle volume fraction as the new matrix medium and the old matrix medium as the inclusion. With DPM, complex permittivity and permeability of composites could be calculated by the Maxwell Garnett (MG) formula, the Bruggeman (BG) formula and the generalized effective medium theory (GEMT) with a fitting parameter of V which is a second-degree polynomial of new particle volume fraction. With the proposed method, the effective complex permittivity and permeability of composites consisting of isotropic spherical carbonyl iron particles (SCIPs) or anisotropic flaky carbonyl iron particles (FCIPs) embedded in paraffin are calculated. Comparisons are performed among the calculated results by different formulae and the measured results. It indicates that the calculated results by the GEMT formula with DPM are in great agreement with the measured results. The achievement of this paper has am important theoretical significance and engineering application.