Electromagnetic metamaterials: homogenization and effective properties

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This chapter presents homogenization principles for metamaterials and dielectric mixtures. The focus is on the principles with which homogenization brings forth emergence: such qualitatively new properties in the effective characterization that are not present in the constituent components that make the medium. The classical Maxwell Garnett mixing result is paralleled with the deterministic scattering problem of a composite sphere, and the resulting equivalence is exploited in translating known mixing results to scattering and absorption properties of simple scatterers and vice versa. Emphasis is given to the way mixing can lead to situations where the composite obeys an unexpected dispersion behavior that is not directly predictable from the knowledge of the dispersion of the component materials. The characteristics of the localized resonances and their dependence on geometrical and structural parameters in plasmonic nanoparticles are analyzed. Theoretical bounds for the effective
permittivity of mixtures are discussed as well as situations in which these bounds can allow enhanced polarization and percolation effects. Finally, anisotropic and in particular hyperbolic media are modelled with a special application to radially anisotropic (RA) particles which may display surprising macroscopic effects like, for example, anomalous absorption.
Original languageEnglish
Title of host publicationWorld Scientific Handbook of Metamaterials and Plasmonics.
Subtitle of host publicationVolume 1: Electromagnetic Metamaterials
EditorsStefan Maier
Place of PublicationSingapore
Number of pages36
ISBN (Electronic)978-981-3228-74-0
ISBN (Print)9789813227613
Publication statusPublished - 2018
MoE publication typeA3 Part of a book or another research book

Publication series

NameWorld Scientific Series in Nanoscience and Nanotechnology

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