Three dimensional full wave validation of the Maxwell Garnett to Debye model approach

The electric properties of a biphasic composite materials are very often described by a Maxwell Garnett model. This model provides the frequency dependent values of an equivalent dielectric constant for the host material containing randomly or aligned distributed inclusions. The frequency dependent electric properties of the equivalent material can be associated to a Debye model suitable for time domain full wave three dimensional electromagnetic simulations. This paper validates the use, in electromagnetic simulations, of the equivalent material described by the Debye model stemming by the Maxwell Garnet one. A biphasic dielectric slab containing randomly distributed inclusions, both dielectric and conductive, is considered. Several configurations with different inclusion distributions are analyzed by a full wave electromagnetic solver and the responses of these biphasic models are compared versus the Debye equivalent one. The Feature Selective Validation technique is used. The frequency limit beyond which the equivalent Debye model does not work accurately is found.