Metamaterials: supra-classical dynamic homogenization

被引:10
作者
Caleap, Mihai [1 ]
Drinkwater, Bruce W. [1 ]
机构
[1] Univ Bristol, Fac Engn, Bristol BS8 1TR, Avon, England
基金
英国工程与自然科学研究理事会;
关键词
metamaterials; dynamic homogenization; self-consistent effective field method; MULTIPLE-SCATTERING; RANDOM CONFIGURATIONS; WAVES; MEDIA; APPLICABILITY; PERMEABILITY; ATTENUATION; CLOAKING; FIELD;
D O I
10.1088/1367-2630/17/12/123022
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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 behavior 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.
引用
收藏
页数:13
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