New assembly route for three-dimensional metamaterials through effect medium theory

TL;DR

This paper introduces a new assembly method for 3D composite metamaterials using effective medium theory, enabling precise control of electromagnetic properties for advanced material design.

Contribution

It presents a revised Maxwell-Garnett theory for designing 3D composite metamaterials with coated spheres, simplifying fabrication and property tuning.

Findings

Effective medium formulas for negative permittivity and permeability

Design rules enabling precise electromagnetic property control

A versatile approach for fabricating composite metamaterials

Abstract

In this study, we illustrate the effective medium theories in the designs of three-dimensional composite metametails of both negative permittivity and permeability. The proposed metamaterials consist of coated spheres embedded in a dielectric host. Simple design rules and formulas following the effective medium models are numerically and analytically presented. We demonstrate that the revised Maxwell-Garnett effective medium theory enables us to design three-dimensional composite metamaterials through assembly of coated small spheres. The proposed approach allows for precise control of the permittivity and permeability and guides a facile, flexible and versatile way for the fabrication of composite metamaterials.