Bounds for effective dielectric permittivity in differential medium approximation

TL;DR

This paper develops analytical bounds for the effective dielectric permittivity of composite materials with metallic inclusions using differential medium approximation, considering various inclusion shapes and system parameters.

Contribution

It introduces a theoretical method to derive bounds for dielectric permittivity in matrix-inclusion systems with spherical and ellipsoidal shapes.

Findings

Derived analytical expressions for effective dielectric permittivity.

Analyzed limits of real and imaginary parts based on system parameters.

Provided bounds depending on inclusion shape and dielectric properties.

Abstract

Theoretical approach is proposed to description of dielectric properties of matrix disperse systems which consists of dielectric matrix with embedded in metallic inclusions. On the basis of effective differential medium approximation the analytical expressions are obtained for the effective dielectric permittivity of the matrix disperse system with inclusions of spherical and ellipsoidal shape. The analysis of limits of possible values of the real and imaginary parts of is carried out depending on system parameters.