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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…

We demonstrate that the toroidal dipolar response can be realized in the optical regime by designing a feasible nanostructured metamaterial, comprising asymmetric double-bar magnetic resonators assembled into a toroid-like configuration. It…

Optics · Physics 2015-03-13 Zheng-Gao Dong , J. Zhu , Junsuk Rho , Jia-Qi Li , Changgui Lu , Xiaobo Yin , X. Zhang

It is shown that a new type of metamaterial, a 3D-array of toroidal solenoids, displays a significant toroidal response that can be readily measured. This is in sharp contrast to materials that exist in nature, where the toroidal component…

Classical Physics · Physics 2007-09-25 K. Marinov , A. D. Boardman , V. A. Fedotov , N. Zheludev

Toroidal dipole, first described by Ia. B. Zeldovich [Sov. Phys. JETP 33, 1184 (1957)], is a distinct electromagnetic excitation that differs both from the electric and the magnetic dipoles. It has a number of intriguing properties: static…

Optics · Physics 2013-10-02 V. Savinov , V. A. Fedotov , N. I. Zheludev

The excitation of toroidal multipoles in metamaterials was investigated for high-Q response at a subwavelength scale. In this study, we explored the optimization of toroidal excitations in a planar metamaterial comprised of asymmetric split…

Optics · Physics 2017-04-11 Yuancheng Fan , Fuli Zhang , Quanhong Fu , Zeyong Wei , Hongqiang Li

We observe toroidal response from a planar metamaterial comprised of asymmetric split ring resonators (ASRRs). It is showed that a toroidal-molecule can be constructed through rational arrangement of planar ASRRs as meta-atoms via…

Optics · Physics 2012-09-18 Yuancheng Fan , Zeyong Wei , Hongqiang Li , Hong Chen , Costas M. Soukoulis

We demonstrate that, owing to the unique topology of the toroidal dipolar mode, its electric/magnetic field can be spatially confined within subwavelength, externally accessible regions of the metamolecules, which makes the toroidal planar…

We present and analyze a dielectric cluster based on subwavelength LiTaO3 polaritonic cylinders for demonstrating toroidal response in THz regime due to mutual coupling of Mie- resonance modes of the cylinders. Based on this cluster, we…

We present a thorough investigation of the electromagnetic resonant modes supported by systems of polaritonic rods placed at the vertices of canonical polygons. The study is conducted with rigorous finite-element eigenvalue simulations. To…

A ferroaxial ordering, which appears without mirror symmetry parallel to an electric axial moment, is described by a ferroic alignment of the electric toroidal (ET) dipole rather than the conventional electric and magnetic dipoles. Although…

Strongly Correlated Electrons · Physics 2023-11-23 Akimitsu Kirikoshi , Satoru Hayami

With the rise of artificial magnetism and metamaterials, the toroidal family recently attracts more attention for its unique properties. Here we propose an all-dielectric pentamer metamolecule consisting of nano-cylinders with two toroidal…

Optics · Physics 2019-03-05 T. C. Huang , B. X. Wang , C. Y. Zhao

Toroidal modes enable high-Q resonances, but electric toroidal excitations remain unexplored compared to magnetic ones. This work establishes electric-magnetic toroidal duality in a hexagonal metasurface. Using finite element simulations,…

Optics · Physics 2026-05-26 Oleksiy Breslavets , Yuri Savin , Zoya Eremenko

The toroidal dipole excitation is an important field for metamaterial research because of their low-loss attribute. In this study, we demonstrate numerically and experimentally, a unique polarization independent terahertz metamaterial that…

We develop a fast, accurate, and robust technique to model the electromagnetic response of a two-dimensional (2D) waveguide-fed metasurface aperture. The geometry under consideration consists of a parallel-plate waveguide with an array of…

Computational Physics · Physics 2018-08-01 Laura Pulido-Mancera , Mohammadreza F. Imani , Patrick T. Bowen , Nathan Kundtz , David R. Smith

We show how the elusive toroidal dipole moment appears as a radiative excitation eigenmode in a metamolecule resonator that is formed by pairs of plasmonic nanorods. We analyze one such nanorod configuration - a toroidal metamolecule. We…

We report on the linear and nonlinear optical response of metamaterials evoked by first and second order multipoles. The analytical ground on which our approach bases permits for new insights into the functionality of metamaterials. For the…

We will report on the electromagnetic response due to induced dipolar currents in metamaterials of 2-dimensional array of metallic elements. Used as frequency selectors, the metamaterial transmittance presents a single resonance in the…

Optics · Physics 2009-08-04 C. Rizza , E. Palange , P. Carelli , M. Ortolani , O. Limaj , A. Nucara , S. Lupi

In this paper, we concern on nonradiating properties of novel silicon metamaterials due to multipolar interaction. Destructive interference of electric dipole moment and the next term of multipolar decomposition - toroidal dipole moment,…

Applied Physics · Physics 2018-01-31 Anar K. Ospanova , Ivan V. Stenishchev , Alexey A. Basharin

In this letter, we present the first experimental study of a new chiral metamaterial consisting of toroidal wire windings. We show that the metamaterial exhibits three bands of circular dichroism in the GHz range. We discuss the response of…

The isoscalar toroidal dipole strength distributions in spherical nuclei are calculated in the framework of a fully consistent relativistic random phase approximation. It is suggested that the recently observed "low-lying component of the…

Nuclear Theory · Physics 2016-09-08 D. Vretenar , N. Paar , P. Ring , T. Niksic
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