Modeling electrical and optical spectral responses of homogeneous nanocomposites

In this study, electric field diffraction by a nanoparticle is studied using Legender series and extended for many particles in three dimensions. In the presence of an external dc electric field, the electric field induced by all the particles is added together based on the superposition principle and the electric field distribution would be obtained on an unlimited sheet inside the host matrix. Using this held distribution, pure displaced electric charge and passed current would be evaluated and the effective electrical conductivity and permittivity would be obtained. These parameters could predict the optical spectral responses of nano-composites such as the UV-visible absorption spectrum and refractive dispersion spectrum. (C) 2014 Elsevier B.V. All rights reserved,