Resonance meets homogenization - Construction of meta-materials with astonishing properties

dc.contributor.authorSchweizer, Ben
dc.date.accessioned2017-03-06T14:41:09Z
dc.date.available2017-03-06T14:41:09Z
dc.date.issued2016-10
dc.description.abstractMeta-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.en
dc.identifier.urihttp://hdl.handle.net/2003/35840
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-17864
dc.language.isoen
dc.subjectMeta-materialsen
dc.subjectresonanceen
dc.subjecthomogenizationen
dc.subjectHelmholtz equationen
dc.subjectMaxwell's equationsen
dc.subjectsound absorbersen
dc.subjectnegative index materialsen
dc.subject.ddc610
dc.titleResonance meets homogenization - Construction of meta-materials with astonishing propertiesen
dc.typeTextde
dc.type.publicationtypepreprinten
dcterms.accessRightsopen access

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