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Lower limits for the homogenization of periodic metamaterials made from electric dipolar scatterers

Venkitakrishnan, Ramakrishna 1; Höß, Timon 1; Repän, Taavi 2; Goffi, Fatima Z. 3; Plum, Michael 3; Rockstuhl, Carsten 1,2
1 Institut für Theoretische Festkörperphysik (TFP), Karlsruher Institut für Technologie (KIT)
2 Institut für Nanotechnologie (INT), Karlsruher Institut für Technologie (KIT)
3 Institut für Analysis (IANA), Karlsruher Institut für Technologie (KIT)


Nonlocal constitutive relations promise to homogenize metamaterials even though the ratio of period over operational wavelength is not much smaller than unity. However, this ability has not yet been verified, as frequently only discrete structures were considered. This denies a systematic variation of the relevant ratio. Here, we explore, using the example of an electric dipolar lattice, the superiority of the nonlocal over local constitutive relation to homogenize metamaterials when the period tends to be comparable to the wavelength. Moreover, we observe a breakdown of the ability to homogenize the metamaterial at shorter lattice constants. This surprising failure occurs when energy is transported across the lattice thanks to a well-pronounced near-field interaction among the particles forming the lattice. Contrary to common wisdom, this suggests that the period should not just be much smaller than the operational wavelength to homogenize a metamaterial, but, for a given size of the inclusion, there is an optimal period.

Verlagsausgabe §
DOI: 10.5445/IR/1000133987
Veröffentlicht am 20.12.2021
DOI: 10.1103/PhysRevB.103.195425
Zitationen: 5
Web of Science
Zitationen: 3
Zitationen: 5
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Institut für Nanotechnologie (INT)
Institut für Theoretische Festkörperphysik (TFP)
Publikationstyp Zeitschriftenaufsatz
Publikationsdatum 20.05.2021
Sprache Englisch
Identifikator ISSN: 2469-9950
KITopen-ID: 1000133987
HGF-Programm 43.32.02 (POF IV, LK 01) Designed Optical Materials
Erschienen in Physical Review B
Band 103
Heft 19
Seiten 195425
Nachgewiesen in Scopus
Web of Science
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