Complex permittivity of a dielectric mixture: modified Fricke´s formula based on logarithmic law of mixing

A closed-form expression for the complex permittivity of a dielectric mixture consisting of random ellipsoidal inclusions in a continuous medium is derived by modifying the well known Fricke formula so as to be compatible with Lichte-necker´s logarithmic law of mixing. Calculated results are compared with those of other theoretical models and some experimental data available elsewhere.