Authors: | Schweizer, Ben |
Title: | Resonance meets homogenization - Construction of meta-materials with astonishing properties |
Language (ISO): | en |
Abstract: | 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. |
Subject Headings: | Meta-materials resonance homogenization Helmholtz equation Maxwell's equations sound absorbers negative index materials |
URI: | http://hdl.handle.net/2003/35840 http://dx.doi.org/10.17877/DE290R-17864 |
Issue Date: | 2016-10 |
Appears in Collections: | Preprints der Fakultät für Mathematik Schweizer, Ben Prof. Dr. |
Files in This Item:
File | Description | Size | Format | |
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Preprint 2016_04.pdf | DNB | 7.72 MB | Adobe PDF | View/Open |
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