Resonance meets homogenization - Construction of meta-materials with astonishing properties
Resonance meets homogenization - Construction of meta-materials with astonishing properties
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共振遇见均质化——构建具有惊人特性的超材料
DOI:
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发表时间:
2017
期刊:
影响因子:
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通讯作者:
B. Schweizer
中科院分区:
文献类型:
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作者:
B. Schweizer
Meta-materials are assemblies of small components. Even though the single component consists of ordinary materials, the meta-material may behave effectively in a way that is not known from ordinary materials. In this text, we discuss some meta-materials that exhibit unusual properties in the propagation of sound or light. The phenomena are based on resonance effects in the small components. The small (sub-wavelength) components can be resonant to the wave-length of an external field if they incorporate singular features such as a high contrast or a singular geometry. Homogenization theory allows to derive effective equations for the macroscopic description of the meta-material and to verify its unusual properties. We discuss three examples: Sound-absorbing materials, optical materials with a negative index of refraction, perfect transmission through grated metals.
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DOI:
10.1137/120874321
发表时间:
2013
期刊:
SIAM J. Math. Anal.
影响因子:
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作者:
A. Lamacz;B. Schweizer
通讯作者:
B. Schweizer
DOI:
10.1137/130935033
发表时间:
2013
期刊:
Multiscale Model. Simul.
影响因子:
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作者:
A. Lamacz;T. Dohnal;B.Schweizer
通讯作者:
B.Schweizer
DOI:
10.3934/nhm.2013.8.857
发表时间:
2013
期刊:
Networks Heterog. Media
影响因子:
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作者:
G. Bouchitté;B. Schweizer
通讯作者:
B. Schweizer
DOI:
10.1137/16m1064246
发表时间:
2016
期刊:
SIAM J. Math. Anal.
影响因子:
--
作者:
A. Lamacz;B. Schweizer
通讯作者:
B. Schweizer