Effective Dielectric Function for a Random Distribution of Nonlinear Spherical Rayleigh-sized Microparticles

Abstract

The problem of determining the effective dielectric function of an inhomogenous medium given the properties of its constituents has been of interest for quite a long time. A number of theories are available in the linear regime in the scientific literature, including the widely popular theories by Maxwell-Garnett,[1] and by Bruggeman.[2] There are also renewed interest with some new insights on this subject in recent years.[3] In these theories it is assumed that the particles as well as the host medium both behave linearly, that is the dielectric constants do not depend on the incident intensity.