Limit for the effective permittivity of disperse systems
DOI:
https://doi.org/10.31548/energiya2018.06.168Abstract
The calculation of effective dielectric permittivity at large concentrations of inclusion of ellipsoidal form in the approach of differentiated effective medium (DEM) is considered. The estimates of possible values of the boundaries of the real and imaginary part of the effective dielectric permittivity, depending on the system parameters, are used, using general methods of electrodynamics of inhomogeneous media.
Theoretical approximation of the processes of electromagnetic interaction with matrix disperse systems (MDS), which represent a continuous matrix (usually dielectric), with inclusions of various shapes and nature, is widely used for the approximation of the effective medium. The essence of this method is that, in the simplest case of nonmagnetic media, the MDS with distributed values of the permittivity of the matrix and inclusions is replaced by a continuous medium with effective dielectric constant, which depends both on the dielectric permittivity of the matrix and inclusions, and on the volume of the inclusions itself, and the total volume of the system and their statistical distribution in the matrix. Such an approximation is in good agreement with the experiment only in the case where the wavelength of the electromagnetic interacting with the MDS is much larger than the characteristic dimensions of the inclusions and the distances between them (long-wave approximation). There are many methods for calculating effective dielectric penetration for such systems. In this paper we consider the calculation of effective dielectric permittivity at large concentrations of ellipsoidal forms in the approximation of a differentiated effective medium (DEM). Also, estimates are made of possible boundaries of the values of the boundaries of the real and imaginary part of the effective dielectric permittivity, depending on the parameters of the system.
Keywords: effective permittivity, matrix dispersed systems, differentiated effective medium
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