Bloch-mode analysis for retrieving effective parameters of metamaterials

TL;DR

This paper presents a novel Bloch-mode analysis method for accurately retrieving effective parameters of metamaterials, enabling better characterization of their electromagnetic properties for various applications.

Contribution

The paper introduces a new Bloch-mode based approach for extracting effective parameters, improving accuracy and applicability over existing methods.

Findings

High accuracy in retrieving complex effective refractive index.

Effective for both material and wave parameters of diverse metamaterials.

Applicable to single-mode propagation in quasi-periodic structures.

Abstract

We introduce a new approach for retrieving effective parameters of metamaterials based on the Bloch-mode analysis of quasi-periodic composite structures. We demonstrate that, in the case of single-mode propagation, a complex effective refractive index can be assigned to the structure, being restored by our method with a high accuracy. We employ both surface and volume averaging of the electromagnetic fields of the dominating (fundamental) Bloch modes to determine the Bloch and wave impedances, respectively. We discuss how this method works for several characteristic examples, and demonstrate that this approach can be useful for retrieval of both material and wave effective parameters of a broad range of metamaterials.