Metamaterials: supra-classical dynamic homogenization
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 e...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2015-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/17/12/123022 |
| _version_ | 1797751056159997952 |
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| author | Mihai Caleap Bruce W Drinkwater |
| author_facet | Mihai Caleap Bruce W Drinkwater |
| author_sort | Mihai Caleap |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T16:42:54Z |
| format | Article |
| id | doaj.art-ce402c591f304f73ad9624cf6cd7fc9d |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:42:54Z |
| publishDate | 2015-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-ce402c591f304f73ad9624cf6cd7fc9d2023-08-08T14:24:17ZengIOP PublishingNew Journal of Physics1367-26302015-01-01171212302210.1088/1367-2630/17/12/123022Metamaterials: supra-classical dynamic homogenizationMihai Caleap0Bruce W Drinkwater1Faculty of Engineering, University of Bristol , BS8 1TR, UKFaculty of Engineering, University of Bristol , BS8 1TR, UKMetamaterials 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.https://doi.org/10.1088/1367-2630/17/12/123022metamaterialsdynamic homogenizationself-consistent effective field method |
| spellingShingle | Mihai Caleap Bruce W Drinkwater Metamaterials: supra-classical dynamic homogenization New Journal of Physics metamaterials dynamic homogenization self-consistent effective field method |
| title | Metamaterials: supra-classical dynamic homogenization |
| title_full | Metamaterials: supra-classical dynamic homogenization |
| title_fullStr | Metamaterials: supra-classical dynamic homogenization |
| title_full_unstemmed | Metamaterials: supra-classical dynamic homogenization |
| title_short | Metamaterials: supra-classical dynamic homogenization |
| title_sort | metamaterials supra classical dynamic homogenization |
| topic | metamaterials dynamic homogenization self-consistent effective field method |
| url | https://doi.org/10.1088/1367-2630/17/12/123022 |
| work_keys_str_mv | AT mihaicaleap metamaterialssupraclassicaldynamichomogenization AT brucewdrinkwater metamaterialssupraclassicaldynamichomogenization |