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A T‐Matrix Based Approach to Homogenize Artificial Materials

Zerulla, Benedikt 1; Venkitakrishnan, Ramakrishna 2; Beutel, Dominik ORCID iD icon 2; Krstić, Marjan 2; Holzer, Christof 2; Rockstuhl, Carsten 1,2; Fernandez-Corbaton, Ivan ORCID iD icon 1
1 Institut für Nanotechnologie (INT), Karlsruher Institut für Technologie (KIT)
2 Institut für Theoretische Festkörperphysik (TFP), Karlsruher Institut für Technologie (KIT)

Abstract:

The accurate and efficient computation of the electromagnetic response of objects made from artificial materials is crucial for designing photonic functionalities and interpreting experiments. Advanced fabrication techniques can nowadays produce new materials as 3D lattices of scattering unit cells. Computing the response of objects of arbitrary shape made from such materials is typically computationally prohibitive unless an effective homogeneous medium approximates the discrete material. In here, a homogenization method based on the effective transition (T-)matrix, $T_{eff}$ is introduced. Such a matrix captures the exact response of the discrete material, is determined by the T-matrix of the isolated unit cell and the material lattice vectors, and is free of spatial dispersion. The truncation of $T_{eff}$ to dipolar order determines the common bi-anisotropic constitutive relations. When combined with quantum-chemical and Maxwell solvers, the method allows one to compute the response of arbitrarily-shaped volumetric patchworks of structured molecular materials and metamaterials.


Verlagsausgabe §
DOI: 10.5445/IR/1000153785
Veröffentlicht am 16.12.2022
Originalveröffentlichung
DOI: 10.1002/adom.202201564
Scopus
Zitationen: 12
Dimensions
Zitationen: 12
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Nanotechnologie (INT)
Institut für Theoretische Festkörperphysik (TFP)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2022
Sprache Englisch
Identifikator ISSN: 2195-1071
KITopen-ID: 1000153785
HGF-Programm 43.32.02 (POF IV, LK 01) Designed Optical Materials
Erschienen in Advanced Optical Materials
Verlag John Wiley and Sons
Band 11
Heft 3
Seiten Art.-Nr.: 2201564
Vorab online veröffentlicht am 30.11.2022
Schlagwörter effective material parameters, homogenization, multipolar interaction, transition matrix
Nachgewiesen in Scopus
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