Optical theorem and multipole scattering of light by arbitrarily shaped nanoparticles

Evlyukhin, Andrey B.; Fischer, Tim; Reinhardt, Carsten; Chichkov, Boris N.

doi:10.1103/physrevb.94.205434

Cited by 259 publications

(255 citation statements)

References 16 publications

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“…Notation here is the same as in formula (23). The electric field derived from (29) is time-independent and coincides with the electric field of the disk-shaped dynamic anapole (24) taken at the moment t = 0, E cap (r) = E(r, 0).…”

Section: Time-dependent Aharonov-bohm Effectmentioning

confidence: 81%

“…Indeed, a number of recent works have already confirmed the key role of anapole excitations in controlling scattering properties of very simple electromagnetic systems, such as nanodisks and nanowires [15][16][17][18][19][20][21][22][23]. Correspondingly, one may want to revisit the analysis of the electromagnetic response of structurally more complex metamaterials, where the dynamic anapoles could underpin, for example, the microscopic mechanisms of electromagnetic transparency [14] and high-Q effects.…”

Section: Summary and Discussionmentioning

confidence: 99%

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Nonradiating sources, dynamic anapole, and Aharonov-Bohm effect

2017

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We show that for a particular choice of gauge the vector potential of any non-radiating source is spatially localized along with its electric and magnetic fields. Important on its own, this special property of non-radiating sources dramatically simplifies the analysis of their quantitative aspects, and enables the interpretation of non-radiating sources as distributions of the elementary dynamic anapoles. Using the developed approach we identify and discuss a possible scenario for observing the time-dependent version of the Aharonov-Bohm effect in such systems.

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Section: Time-dependent Aharonov-bohm Effectmentioning

confidence: 81%

Section: Summary and Discussionmentioning

confidence: 99%

Nonradiating sources, dynamic anapole, and Aharonov-Bohm effect

2017

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“…The trimer features C 3symmetry with respect to out-of-plane z-axis. To corroborate the existence of toroidal dipolar responses, we employ multipole expansion including the toroidal dipole term to quantify the contribution of each multipole to the far-field scattering in one of the meta-molecules [43] (see Supporting Information for details). As shown in Figure 2c of the transmission spectrum, four transmission dips appear in the selected wavelength range.…”

Section: Trimer Casementioning

confidence: 99%

Toroidal Dipole Resonances in All‐Dielectric Oligomer Metasurfaces

Zhang

Lan

Gao

et al. 2019

Advcd Theory and Sims

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Dynamic toroidal multipoles have been attracting an increasing amount of attention, thanks to their unique electromagnetic properties. The concept bears great promises in the field of optical sensing as well as electromagnetic energy localization. Metal-based structures with specific designs have been widely adopted to obtain toroidal responses. However, applications for such structures are often hindered by the significant intrinsic loss when it comes to optical frequencies. Here, several configurations of all-dielectric metasurfaces, in which the meta-molecules are composed of disk oligomers (trimer, quadrumer, pentamer, and hexamer), are proposed to support toroidal dipole resonances in the near-infrared waveband when the polarization of the normally incident excitation plane wave is directed to one of the symmetry axes of the oligomers. Multipole expansion including the toroidal dipole term along with near-field electromagnetic patterns confirms the existence of strong toroidal dipolar responses within certain wavelength ranges. This work would enrich the diversity of the all-dielectric optical systems with toroidal dipole resonances.

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“…Their exotic response is a promising platform for filling the THz frequency gap [1][2][3]. A separate class of metamaterials is the one with the toroidal response [4][5][6][7][8][9][10][11][12][13][14][15]. The toroidal observation is mediated by the excitation of currents flowing in inclusions of toroidal metamolecules, and resembles the poloidal currents along the meridians of gedanken torus [4,5].…”

mentioning

confidence: 99%

Blueshift and phase tunability in planar THz metamaterials: the role of losses and toroidal dipole contribution

2017

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We propose a model of tunable THz metamaterials. The main advantage is the blueshift of resonance and phase tunability due to toroidal excitation in planar metallic metamolecules with incorporated silicon inductive inclusions.Metamaterials are artificial structures with properties unattainable in natural media. Their exotic response is a promising platform for filling the THz frequency gap [1][2][3]. A separate class of metamaterials is the one with the toroidal response [4][5][6][7][8][9][10][11][12][13][14][15]. The toroidal observation is mediated by the excitation of currents flowing in inclusions of toroidal metamolecules, and resembles the poloidal currents along the meridians of gedanken torus [4,5]. Meanwhile, the destructive interference between the toroidal and electric dipole moments leads to lack the far-fields, but the fields in the metamolecule origin describing by δ-function [6,7]. Such fields configuration, referred as the anapole, allows to observe the new effect of Electromagnetically Induced Transparency (EIT) [6,7], provides an extremely high Q-factor in metamaterials [8], enables a cloaking for nanoparticles [9,10], and is a platform for confirmation of the dynamic Aharonov-Bohm effect [6,7]. Recently, it was demonstrated the anapole excitation in planar metamaterials, which enabled an extremely high Q-factor in microwave [8], which gives promising opportunities for tunable metamaterials due to the strong electromagnetic fields localization within metamolecules. In this paper, we consider a design of a metamaterial, discussed in Ref. 8, in tunable regime. For this purpose, we incorporate the photoconductive silicon into the metamolecule (Fig. 1a) and study the response of the metamaterial in the THz regime. The silicon is simulated with the permittivity εSi=11.7 and a pumppower-dependent conductivity σSi, varied from 10 -1 up to 10 6 S/m, which means transition from dielectric to metallic state. Metamolecules comprise of two split parts (Fig. 1a). The incident plane electromagnetic wave with electric field E aligned with the central wire excites conductive currents in each loop of the metamolecule. The currents form a closed vortex of magnetic field H. As a result, such configuration of electromagnetic fields supports the toroidal dipole excitation, oscillating upward and downward within metamolecule. However, the electric dipole also arises in the metamolecule and maintains the anapole mode, in accordance with the destructive interference between electric and toroidal dipole moments. The advantage is a very narrow line in the transmission spectrum of a metamaterial [8]. Here, for the first time, we consider how the planar toroidal metamolecule can be exploited as a building block for terahertz modulators. We demonstrate the blueshift and the phase tunability regime and also discuss the role of losses. The metamaterials with incorporated silicon or gallium arsenide inclusions were discussed in details as elements of modulators. The phase tunability, blueshift, redshift as well as amplitude ...

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Optical theorem and multipole scattering of light by arbitrarily shaped nanoparticles

Cited by 259 publications

References 16 publications

Nonradiating sources, dynamic anapole, and Aharonov-Bohm effect

Nonradiating sources, dynamic anapole, and Aharonov-Bohm effect

Toroidal Dipole Resonances in All‐Dielectric Oligomer Metasurfaces

Blueshift and phase tunability in planar THz metamaterials: the role of losses and toroidal dipole contribution

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