Evaluation of mixing rules for dielectric constants of periodically structured composite materials

The work is devoted to the results of calculating the effective microwave dielectric properties of a composite material based on periodically arranged conductive inclusions in the form of flat square plates. The calculation was carried out by the finite element method. It is shown that among the currently known mixing formulas, the best agreement with the obtained calculated data is observed when using the Odelevsky formula, in which the effective form factor of an ellipsoid inscribed in the inclusion volume is used. A significant contribution of surface effects at the boundary of an inhomogeneous material to its effective permittivity is demonstrated.