We study the macroscopic conduction properties of large but finite binary networks with conducting bonds. By taking a combination of a spectral and an averaging based approach we derive asymptotic formulae for the conduction in terms of the component proportions p and the total number of...

Effective medium theories (EMTs) along with percolation theory allow the characterization of the electromagnetic properties of binary composite mixtures at a frequency when the scale of a particle size allows the quasi-static limit approximation. These theories formulate an effective...

We apply the Rayleigh method to derive a formulation yielding the effective dielectric tensor of a periodic composite consisting of an array of elliptical cylinders placed in a matrix of unit dielectric constant. We consider two types of composites having this structure: dilute noncritical and...

We derive the first dynamic correction to the effective refractive index for a square array of cylinders (of finite or infinite refractive index), subject to a low-frequency incident radiation. This correction also imposes constraints on the wave number region for which the Lorentz-Lorenz...