Some remarkable charge–current configurations

Afanasiev, G. N.; Dubovik, V.M.

doi:10.1134/1.953084

Cited by 80 publications

(98 citation statements)

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“…2). Hence, a coherent superposition of dynamic electric and toroidal dipoles can be realized in a way that the radiated fields by the two dipoles interfere destructively 10,14,15 . Such a nonradiating configuration is in fact a dynamic version of the anapole; in contrast to the static anapole (that directly identifies with the static toroidal dipole), it comprises an electric dipole component 24 .…”

Section: Radiating Properties Of Toroidal Multipolesmentioning

confidence: 99%

“…In particular, such a situation arises in conjunction with a nontrivial non-radiating excitation, also known as a dynamic anapole, where collocated electric and toroidal dipolar modes interfere destructively cancelling each other's radiation everywhere in the far field 10,73 . Since electric dipole scattering in this case is virtually absent the corresponding Mie coefficient a 1,m will be zero.…”

Section: Inset Ii: Charge -Current Multipole Expansion Vs Mie Theorymentioning

confidence: 99%

“…Relatively large molecules with R≤λ, known as "metamolecules" are often employed in artificial metamaterials. A metamaterial of toroidal topology can be engineered in such a way that the lower order electric and magnetic multipoles cannot be excited due to symmetry, allowing thus the toroidal dipole to become the leading term in the multipole expansion and to contribute strongly to the electromagnetic properties of the metamaterial 10 . When scattering contributions of the conventional multipoles are dominant, toroidal response of the nanostructure might still be detected through optical forces 50 .…”

Section: Dynamic Toroidal Multipolesmentioning

confidence: 99%

“…1) and studied in the context of nuclear 6 , atomic 7 , and molecular physics 8 , classical electrodynamics 9,10 , and solid state physics 3 . In the field of electromagnetism, in particular, a number of works have led to the development of a complete theoretical framework for toroidal electrodynamics [11][12][13][14][15] and the prediction of exotic effects, including dynamic non-radiating charge current configurations 10 and non-reciprocal interactions 9 . Following recent experimental observations of toroidal contributions in the response of materials across the electromagnetic spectrum, dynamic toroidal multipoles are now the focus of substantial research efforts.…”

Section: Introductionmentioning

confidence: 99%

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Electromagnetic toroidal excitations in matter and free space

et al. 2016

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The toroidal dipole is a localized electromagnetic excitation, distinct from the magnetic and electric dipoles. While the electric dipole can be understood as a pair of opposite charges and the magnetic dipole as a current loop, the toroidal dipole corresponds to currents flowing on the surface of a torus. Toroidal dipoles provide physically significant contributions to the basic characteristics of matter including absorption, dispersion, and optical activity. Toroidal excitations also exist in free-space as spatially and temporally localized electromagnetic pulses propagating at the speed of light and interacting with matter. We review recent experimental observations of resonant toroidal dipole excitations in metamaterials and the discovery of anapoles, non-radiating current configurations involving toroidal dipoles. While certain fundamental and practical aspects of toroidal electrodynamics remain open for the moment, we envision that exploitation of toroidal response can have important implications for the fields of photonics, sensing, energy and information. IntroductionThe interactions of electromagnetic radiation with matter underpin some of the most important technologies today -from telecommunications to information processing and data storage; from spectroscopy and imaging to light-assisted manufacturing. Our understanding and description of the electromagnetic properties of matter traditionally involves the concept of electric and magnetic dipoles, as well as their more complex combinations, known as multipoles. Introduced by Maxwell and Lorentz and later refined by Jackson and Landau, this framework, termed the multipole expansion, is central in physics and is being routinely applied in the study of optical, condensed matter, atomic, nuclear phenomena and beyond 1 . Within this framework, electromagnetic media can be represented by a set of point-like multipole sources [2][3][4][5] . The commonly used set of multipoles comprises the electric and magnetic families, which can be represented by oscillating charges and loop currents respectively. Dynamic toroidal multipoles constitute a third independent family of elementary electromagnetic sources, rather than an alternative multipole expansion or higher-order corrections to the conventional electric and magnetic multipoles (see tutorial inset I).Introduced in 1958 by Y. B. Zeldovich, toroidal moments have been considered in systems of toroidal topology (see Fig. 1) and studied in the context of nuclear 6 , atomic 7 , and molecular physics 8 , classical electrodynamics 9,10 , and solid state physics 3 . In the field of electromagnetism, in particular, a number of works have led to the development of a complete theoretical framework for toroidal electrodynamics [11][12][13][14][15] and the prediction of exotic effects, including dynamic non-radiating charge current configurations 10 and non-reciprocal interactions 9 . Following recent experimental observations of toroidal contributions in the response of materials across the electromagnetic spectrum, dyn...

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Section: Radiating Properties Of Toroidal Multipolesmentioning

confidence: 99%

Section: Inset Ii: Charge -Current Multipole Expansion Vs Mie Theorymentioning

confidence: 99%

Section: Dynamic Toroidal Multipolesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Electromagnetic toroidal excitations in matter and free space

et al. 2016

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“…high momentum (cumulative) particles provide information on localized dense objects inside nuclei, as was emphasized as early as in 1970s [3]; but the nature of cumulative particles production is still under discussion up to now [4]; 2. there is a lack of data on fragment emission at intermediate energies in ion-ion collisions [5] that test different models of ion-ion interactions covering large kinematic region (for both the cumulative region and the fragmentation peak region);…”

Section: Introductionmentioning

confidence: 99%

Small-angle fragmentation of carbon ions at 0.6 GeV/n: a comparison with models of ion-ion interactions

Krutenkova

Abramov

Alekseev

et al. 2015

EPJ Web of Conferences

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Abstract. Momentum distributions of hydrogen and helium isotopes from 12 C fragmentation at 3.5 o were measured at 0.6 GeV/nucleon in the FRAGM experiment at ITEP TWA heavy ion accelerator. The fragments were selected by correlated time of flight and dE/dx measurements with a magnetic spectrometer with scintillation counters. The main attention was drawn to the high momentum region where the fragment velocity exceeds the velocity of the projectile nucleus. The momentum spectra of fragments span the region of the fragmentation peak as well as the cumulative region. The differential cross sections cover six orders of magnitude. The distributions measured are compared to the predictions of three ion-ion interaction models: BC, QMD and LAQGSM03.03. The kinetic energy spectra of fragments in the projectile rest frame have an exponential shape with two temperatures, being defined by their slope parameters.

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Toroidal Localized Spoof Plasmons on Compact Metadisks

et al. 2017

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Localized spoof surface plasmons (LSSPs) have recently emerged as a new research frontier due to their unique properties and increasing applications. Despite the importance, most of the current researches only focus on electric/magnetic LSSPs. Very recent research has revealed that toroidal LSSPs, LSSPs modes with multipole toroidal moments, can be achieved at a point defect in a 2D groove metal array. However, this metamaterial shows the limitations of large volume and poor compatibility to photonic integrated circuits. To overcome the above challenges, here it is proposed and experimentally demonstrated compact planar metadisks based on split ring resonators to support the toroidal LSSPs at microwave frequencies. Additionally, it is experimentally demonstrated that the toroidal LSSPs resonance is very sensitive to the structure changes and the background medium. These might facilitate its utilization in the design and application of plasmonic deformation sensors and the refractive index sensors.

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Some remarkable charge–current configurations

Cited by 80 publications

References 0 publications

Electromagnetic toroidal excitations in matter and free space

Electromagnetic toroidal excitations in matter and free space

Small-angle fragmentation of carbon ions at 0.6 GeV/n: a comparison with models of ion-ion interactions

Toroidal Localized Spoof Plasmons on Compact Metadisks

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