Separable metamaterials: analytical ab-initio homogenization and chirality

TL;DR

This paper presents an analytical homogenization method for separable metamaterials, enabling the design of complex electromagnetic responses from simpler 1D media, thus advancing metamaterial engineering.

Contribution

It introduces a new ab-initio homogenization approach for separable metamaterials, linking their 3D properties to 1D generating media for flexible design.

Findings

Separable metamaterials can be described analytically in the long-wavelength limit.

Their bi-anisotropic response can be reconstructed from 1D media properties.

The approach enables full ab-initio design of complex bianisotropic responses.

Abstract

We investigate the ab-initio homogenization of separable metamaterials with factorized dielectric permittivity profile which can be achieved through suitable grey-scale permittivity design techniques. Separability allows such metamaterials to be physically regarded as the superposition of three fictitious 1D generating media. We prove that, in the long-wavelength limit, separable metamaterials admit simple and analytical description of their electromagnetic bi-anisotropic response which can be reconstructed from the properties of the 1D generating media. Our approach provides a strategy which allows the full ab-initio and flexible design of a complex bianisotropic response by using 1D metamaterials as basic building blocks.