Abstract
This paper discusses homogenization formulas and mixing rules that connect effective dielectric properties of mixtures with their microstucture. The special point of view in this paper is that all parameters appearing in mixing formulas are treated with equal status. The parameters that can be varied are the permittivities (which are allowed to be negative as well as positive) of the inclusion, environment, and composite, the volume fraction, spatial dimension, and an abstract parameter which chooses the given mixing formula type. The analysis helps in the interpretation of predictions from classical mixing rules when they are extended into the domain of negative-permittivity metamaterials.
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