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Modeling four-dimensional metamaterials: A T-matrix approach to describe time-varying metasurfaces

Garg, Puneet ORCID iD icon 1; Lamprianidis, Aristeidis G. 1; Beutel, Dominik 1; Karamanos, Theodosios 1; Verfürth, Barbara ORCID iD icon 2; Rockstuhl, Carsten 1
1 Institut für Theoretische Festkörperphysik (TFP), Karlsruher Institut für Technologie (KIT)
2 Institut für Angewandte und Numerische Mathematik (IANM), Karlsruher Institut für Technologie (KIT)


Exploring the interaction of light with materials periodically structured in space and time is intellectually rewarding and, simultaneously, a computational challenge. Appropriate computational tools are urgently needed to explore how such upcoming photonic materials can control light on demand. Here, we introduce a semi-analytical approach based on the transition matrix (also known as T-matrix) to analyze the optical response of a spatiotemporal metasurface. The metasurface consists of a periodic arrangement of time-varying scattering particles. In our approach, we depart from an individual scatterer’s T-matrix to construct the effective T-matrix of the metasurface. From that effective T-matrix, all observable properties can reliably be predicted. We verify our semi-analytical approach with full-wave numerical simulations. We demonstrate a speed-up with our approach by a factor of more than 500 compared to a finite-element simulation. Finally, we exemplify our approach by studying the effect of time modulation on a Huygens’ metasurface and discuss some emerging observable features.

Volltext §
DOI: 10.5445/IR/1000151358
Veröffentlicht am 12.10.2022
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Angewandte und Numerische Mathematik (IANM)
Institut für Nanotechnologie (INT)
Institut für Theoretische Festkörperphysik (TFP)
Karlsruhe School of Optics & Photonics (KSOP)
Sonderforschungsbereich 1173 (SFB 1173)
Publikationstyp Forschungsbericht/Preprint
Publikationsmonat/-jahr 10.2022
Sprache Englisch
Identifikator ISSN: 2365-662X
KITopen-ID: 1000151358
Verlag Karlsruher Institut für Technologie (KIT)
Umfang 16 S.
Serie CRC 1173 Preprint ; 2022/51
Projektinformation SFB 1173/2 (DFG, DFG KOORD, SFB 1173/2 2019)
Externe Relationen Abstract/Volltext
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