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Two different formalisms for the homogenization of composite materialscontaining oriented ellipsoidal particles of isotropic dielectric materials arebeing named after Bruggeman. Numerical studies reveal clear differences betweenthe two formalisms which may be exacerbated: (i) if the component particlesbecome more aspherical, (ii) at mid-range values of the volume fractions, and(iii) if the homogenized component material is dissipative. The correctBruggeman formalism uses the correct polarizability density dyadics of thecomponent particles, but the other formalism does not.

Bruggeman formalism vs. `Bruggeman formalism': Particulate composite materials comprising oriented ellipsoidal particles