Dielectric Metamaterials with Toroidal Dipolar Response

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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• Nonradiating anapole states in nanophotonics: from fundamentals to applications
• Anapoles in Free-Standing III-V Nanodisks Enhancing Second-Harmonic Generation
• Toroidal eigenmodes in all-dielectric metamolecules
• On the dynamic toroidal multipoles from localized electric current distributions
• Non-radiating sources, dynamic anapole and Aharonov-Bohm effect
• Optical force on toroidal nanostructures: toroidal dipole versus renormalized electric dipole
• Elusive pure anapole excitation in homogenous spherical nanoparticles with radial anisotropy
• Electromagnetic sources beyond common multipoles
• Loss-induced performance limits of all-dielectric metasurfaces for terahertz sensing
• Efficient excitation and tuning of toroidal dipoles within individual homogenous nanoparticles
• Symmetry analysis of trimer-based all-dielectric metasurfaces with toroidal dipole modes
• Non-perturbative calculation of orbital- and spin effects in molecules subject to non-uniform magnetic fields
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• Unidirectional scattering induced by the toroidal dipole moment in the system of plasmonic nanoparticles
• A Generic Minimal Discrete Model for Toroidal Moments and Its Experimental Realization
• Enhancing Faraday and Kerr rotations based on toroidal dipole mode in an all-dielectric magneto-optical metasurface
• Scattering invisibility with free-space field enhancement of all-dielectric nanoparticles
• Toroidic and antitoroidic orders in hexagonal arrays of dielectric trimers: magnetic group approach
• Dynamic Anapole in Metasurfaces made of Sculptured Cylinders
• Tuning toroidal dipole resonances in dielectric metamolecules by an additional electric dipolar response
• Poloidal and toroidal plasmons and fields of multilayer nanorings
• Tunable collective electromagnetic induced transparency-like effect due to coupling of dual-band bound states in the continuum
• Radiative toroidal dipole and anapole excitations in collectively responding arrays of atoms
• Transition between radial and toroidal orders in a trimer-based magnetic metasurface
• Electric and magnetic toroidal dipole excitations in core-shell spheres
• Resonant states of structured photonic time crystals
• Ultra-Spatiotemporal Light Confinement in Dielectric Nanocavity Metasurfaces
• The eigenvalues and eigenfunctions of the toroidal dipole operator in a mesoscopic system