Dielectric Metamaterials with Toroidal Dipolar Response
Alexey A. Basharin, Maria Kafesaki, Eleftherios N. Economou, Costas M., Soukoulis, Vassili A. Fedotov, Vassili Savinov, Nikolay I. Zheludev

TL;DR
This paper introduces all-dielectric metamaterials capable of supporting toroidal dipolar excitations in the THz spectrum, highlighting their potential for sensing and enhancing optical nonlinearities.
Contribution
It presents a theoretical study of dielectric metamaterials that support toroidal dipolar responses, a feature rarely explored in standard multipole analysis.
Findings
Resonant transmission and reflection are dominated by toroidal dipole scattering.
Neglecting toroidal contributions leads to misinterpretation of the metamaterials' response.
The proposed metamaterials can enhance light absorption and nonlinear optical effects.
Abstract
Toroidal multipoles are the terms missing in the standard multipole expansion; they are usually overlooked due to their relatively weak coupling to the electromagnetic fields. Here we propose and theoretically study all-dielectric metamaterials of a special class that represent a simple electromagnetic system supporting toroidal dipolar excitations in the THz part of the spectrum. We show that resonant transmission and reflection of such metamaterials is dominated by toroidal dipole scattering, the neglect of which would result in a misunderstanding interpretation of the metamaterials macroscopic response. Due to the unique field configuration of the toroidal mode the proposed metamaterials could serve as a platform for sensing, or enhancement of light absorption and optical nonlinearities.
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