Classical mixing approach
We analyse the simplest model for a dielectric mixture. Isotropic dielectric spheres are embedded as inclusions in an isotropic dielectric environment. The two material components of the mixture are known by various names: the inclusion phase is often called guest, and the environment host, or matrix. If we look at this geometry from such a distant position that only averages matter, it may feel natural to associate a macroscopic permittivity with the mixture, which can be calculated if the permittivities of the two components are known. The basic mixing rule, the so-called Maxwell Garnett formula, will be derived. The discussion will be extended to more complicated mixing principles which involve interaction of inclusions in dense materials.
Classical mixing approach, Page 1 of 2
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