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Beyond local effective material properties for metamaterials

Mnasri, Karim; Khrabustovskyi, Andrii; Stohrer, Christian; Plum, Michael; Rockstuhl, Carsten

Abstract:
To discuss the properties of metamaterials on physical grounds and to consider them in applications, effective material parameters are usually introduced and assigned to a given metamaterial. In most cases, only weak spatial dispersion is considered. It allows to assign local material properties, i.e. a permittivity and a permeability. However, this turned out to be insufficient. To solve this problem, we study here the effective properties of metamaterials with constitutive relations beyond a local response and take strong spatial dispersion into account. The isofrequency surfaces of the dispersion relation are investigated and compared to those of an actual metamaterial. The significant improvement provides evidence for the necessity to use nonlocal material laws in the effective description of metamaterials. The general formulation we choose here renders our approach applicable to a wide class of metamaterials.


Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Institut für Angewandte und Numerische Mathematik (IANM)
Institut für Nanotechnologie (INT)
Institut für Theoretische Festkörperphysik (TFP)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht
Jahr 2017
Sprache Englisch
Identifikator DOI(KIT): 10.5445/IR/1000070949
ISSN: 2365-662X
URN: urn:nbn:de:swb:90-709499
KITopen ID: 1000070949
Verlag KIT, Karlsruhe
Umfang 9 S.
Serie CRC 1173 ; 2017/13
Schlagworte metamaterial, constitutive relation, homogenization, effective paramters, non-local dispersion relation
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