Properties of bruggeman dielectric mixture expression

Bruggeman dielectric mixture expression is one of the widely used methods to characterize properties of heterogeneous materials. In this contribution, dielectric response of mixture systems generated with the Bruggeman effective mixture expression is studied to investigate the broadening of dielectric relaxation at various filler contents. The mixture is composed of two dielectric media. The studies are conducted below and above the percolation threshold for three-dimensional systems, where the percolation threshold q_c is at 1/3. The percolating and non-percolating parts of the mixture are estimated with the spectral density representation using a non-parametric numerical analysis technique based on the Monte Carlo integration hypothesis. A conventional dielectric relaxation model is also applied to represent data.