Comparative study of nanomaterials' effective properties using canonical formations

An analytical study of artificial materials created by embedding spherical nano-particles in an infinite homogenous medium is presented in this paper. Propositions by various contributors to this area of the nanomaterials' field have been compared with respect to their approaches in finding the effective constituent parameters, over wide frequency ranges. Their closed form equations were examined to check if their results were reproducible. Some of the main variables affecting the characteristics of these structures were varied individually to understand their role in determining the effective constituent parameters of the mixture. Finally, a choice was made on the most consistent proposition for examining structures created from nanomaterials.