Beyond local effective material properties for metamaterials

Abstract

To discuss the properties of metamaterials on physical grounds and to consider them in applications, effective material parameters are usually introduced and assigned to a given metamaterial. In most cases, only weak spatial dispersion is considered. It allows to assign local material properties, i.e. a permittivity and a permeability. However, this turned out to be insufficient. To solve this problem, we study here the effective properties of metamaterials with constitutive relations beyond a local response and take strong spatial dispersion into account. The isofrequency surfaces of the dispersion relation are investigated and compared to those of an actual metamaterial. The significant improvement provides evidence for the necessity to use nonlocal material laws in the effective description of metamaterials. The general formulation we choose here renders our approach applicable to a wide class of metamaterials.

References in corpus (3)

• Nonlocal homogenization theory in metamaterials: effective electromagnetic spatial dispersion and artificial chirality
• Nonlocality in uniaxially polarizable media
• Nonasymptotic Homogenization of Periodic Electromagnetic Structures: Uncertainty Principles

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• An introduction to spatial dispersion: revisiting the basic concepts
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• Nonlocal elastic metasurfaces: enabling broadband wave control via intentional nonlocality