On the effective medium model for particles with a complex structure |
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Authors: | L A Apresyan D V Vlasov D A Zadorin V I Krasovskii |
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Institution: | 1.Prokhorov General Physics Institute,Russian Academy of Sciences,Moscow,Russia |
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Abstract: | We consider a generalization of the effective medium approximation to the case of matrices containing macroscopically inhomogeneous particles with an arbitrary structure (cermet topology). The form of the result is determined to a considerable extent by the heuristic choice of effective cells used to estimate the field and induction values averaged over the volume. The simplest choice of a particle in an unperturbed field as a cell leads to the Maxwell–Garnett approximation, while the self-consistent effective medium approximation corresponds to the replacement of the unperturbed field by the mean field. As an example, we describe particles with a shell, as well as statistically anisotropic media with a single preferred direction. |
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