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 (14)

• First-Principle Homogenization Theory for Periodic Metamaterials
• A Metamaterial Homogenization Approach with Application to the Characterization of Microstructured Composites with Negative Parameters
• Validity of effective material parameters for optical fishnet metamaterials
• Nonlocal Optics of Plasmonic Nanowire Metamaterials
• Nonlocal homogenization theory in metamaterials: effective electromagnetic spatial dispersion and artificial chirality
• Bloch-mode analysis for retrieving effective parameters of metamaterials
• Generalized Retrieval Method for Metamaterial Constitutive Parameters Based on a Physically-Driven Homogenization Approach
• Basics of averaging of the Maxwell equations for bulk materials
• Nonlocality in uniaxially polarizable media
• Homogenization of Maxwell's equations in periodic composites
• Calculating the electromagnetic characteristics of bifacial optical nanomaterials
• Theoretical and numerical analysis of current-driven electromagnetic homogenization and the problem of effective medium parameters for finite samples
• Interferometric description of optical metamaterials
• Nonasymptotic Homogenization of Periodic Electromagnetic Structures: Uncertainty Principles

Cited by in corpus (8)

• Efficient simulation of bi-periodic, layered structures based on the T-matrix method
• Retrieving effective material parameters of metamaterials characterized by nonlocal constitutive relations
• Nonlocal response of Mie-resonant dielectric particles
• Maxwell's (D, H ) excitation fields: lessons from permanent magnets
• Surface Plasmon Polaritons Sustained at the Interface of a Nonlocal Metamaterial
• An introduction to spatial dispersion: revisiting the basic concepts
• Generalized Elastodynamic Model for Nanophotonics
• Nonlocal elastic metasurfaces: enabling broadband wave control via intentional nonlocality