Metamaterials: supra-classical dynamic homogenization

Mihai Caleap, Bruce W Drinkwater

Research output: Contribution to journalArticle (Academic Journal)peer-review

10 Citations (Scopus)
359 Downloads (Pure)


Metamaterials are artificial composite structures designed for controlling waves or fields, and exhibit interaction phenomena that are unexpected on the basis of their chemical constituents. These phenomena are encoded in effective material parameters that can be electronic, magnetic, acoustic, or elastic, and must adequately represent the wave interaction behaviour in the composite within desired frequency ranges. In some cases – for example, the low frequency regime – there exist various efficient ways by which effective material parameters for wave propagation in metamaterials may be found. However, the general problem of predicting frequency-dependent dynamic effective constants has remained unsolved. Here, we obtain novel mathematical expressions for the effective parameters of two-dimensional metamaterial systems valid at higher frequencies and wavelengths than previously possible. By way of an example, random configurations of cylindrical scatterers are considered, in various physical contexts: sound waves in a compressible fluid, anti-plane elastic waves, and electromagnetic waves. Our results point towards a paradigm shift in our understanding of these effective properties, and metamaterial designs with functionalities beyond the low-frequency regime are now open for innovation.
Original languageEnglish
Article number123022
Number of pages13
JournalNew Journal of Physics
Publication statusPublished - 17 Dec 2015

Bibliographical note

Date of Acceptance: 18/11/2015


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