Generalized Retrieval Method for Metamaterial Constitutive Parameters Based on a Physically-Driven Homogenization Approach

TL;DR

This paper introduces a generalized retrieval method based on a physically-driven homogenization theory to accurately extract bulk parameters from scattering data of resonant metamaterials, capturing anomalous physics and including inclusion polarizabilities.

Contribution

It presents a novel homogenization-based retrieval approach that improves physical meaningfulness and accuracy over conventional methods for resonant metamaterials.

Findings

Successfully retrieves physically meaningful effective parameters.

Captures anomalous physics in wave interactions.

Retrieves inclusion polarizabilities consistent with passive dispersion.

Abstract

Based on the recently introduced homogenization theory developed in [Phys. Rev. B 84, 075153 (2011)], we propose a generalized retrieval method that allows extracting physically meaningful bulk effective parameters from conventional scattering measurements of periodic metamaterial samples composed of subwavelength inclusions. We show that, compared to conventional approaches, our method is able to capture the anomalous physics in the wave interaction with resonant metamaterials and return physically meaningful homogenized parameters that retain local properties in the long-wavelength limit. As a byproduct, we are also able to retrieve the polarizabilities of the constituent inclusions, which are shown to satisfy expected dispersion properties for passive inclusions, in contrast with conventional retrieval approaches.