TY - JOUR

T1 - The High-Order Toroidal Moments and Anapole States in All-Dielectric Photonics

AU - Gurvitz, Egor A.

AU - Ladutenko, Konstantin S.

AU - Dergachev, Pavel A.

AU - Evlyukhin, Andrey B.

AU - Miroshnichenko, Andrey E.

AU - Shalin, Alexander S.

N1 - Funding information: A.S.S acknowledges the support of the Russian Fund for Basic Research within projects 18-02-00414, 18-52-00005, and the support of the Ministry of Education and Science of the Russian Federation (GOSZADANIE Grant No. 3.4982.2017/6.7). Support has been provided by the Government of the Russian Federation (Grant No. 08-08). The work of A.E.M. have been supported by the Australian Research Council and UNSW Scientia Fellowship. A.B.E. acknowledges the support from the Deutsche Forschungsge-meinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy within the Cluster of Excellence PhoenixD (EXC 2122, Project ID 390833453). K.S.S acknowledges the support of the Russian Fund for Basic Research within projects 19-02-00419.

PY - 2019/5/8

Y1 - 2019/5/8

N2 - All-dielectric nanophotonics attracts ever increasing attention nowadays due to the possibility of controlling and configuring light scattering on high-index semiconductor nanoparticles. It opens a room of opportunities for designing novel types of nanoscale elements and devices, and paves the way for advanced technologies of light energy manipulation. One of the exciting and promising prospects is associated with utilizing the so-called toroidal moment, being the result of poloidal currents excitation, and anapole states, corresponding to the interference of dipole and toroidal electric moments. Here, higher-order toroidal moments of both types (up to the electric octupole toroidal moment) are presented and investigated in detail via the direct Cartesian multipole decomposition allowing new near- and far-field configurations to be obtained. Poloidal currents can be associated with vortex-like distributions of the displacement currents inside nanoparticles, revealing the physical meaning of the high-order toroidal moments and the convenience of the Cartesian multipoles as an auxiliary tool for analysis. High-order nonradiating anapole states accompanied by the excitation of intense near-fields are demonstrated. It is believed that the results are of high importance for both the fundamental understanding of light scattering by high-index particles and a variety of nanophotonics applications and light governing on nanoscale.

AB - All-dielectric nanophotonics attracts ever increasing attention nowadays due to the possibility of controlling and configuring light scattering on high-index semiconductor nanoparticles. It opens a room of opportunities for designing novel types of nanoscale elements and devices, and paves the way for advanced technologies of light energy manipulation. One of the exciting and promising prospects is associated with utilizing the so-called toroidal moment, being the result of poloidal currents excitation, and anapole states, corresponding to the interference of dipole and toroidal electric moments. Here, higher-order toroidal moments of both types (up to the electric octupole toroidal moment) are presented and investigated in detail via the direct Cartesian multipole decomposition allowing new near- and far-field configurations to be obtained. Poloidal currents can be associated with vortex-like distributions of the displacement currents inside nanoparticles, revealing the physical meaning of the high-order toroidal moments and the convenience of the Cartesian multipoles as an auxiliary tool for analysis. High-order nonradiating anapole states accompanied by the excitation of intense near-fields are demonstrated. It is believed that the results are of high importance for both the fundamental understanding of light scattering by high-index particles and a variety of nanophotonics applications and light governing on nanoscale.

KW - all-dielectric nanophotonics

KW - anapole states

KW - irreducible Cartesian multipoles

KW - Mie resonance

KW - toroidal moment

UR - http://www.scopus.com/inward/record.url?scp=85064161912&partnerID=8YFLogxK

U2 - 10.48550/arXiv.1810.04945

DO - 10.48550/arXiv.1810.04945

M3 - Article

AN - SCOPUS:85064161912

VL - 13

JO - Laser and Photonics Reviews

JF - Laser and Photonics Reviews

SN - 1863-8880

IS - 5

M1 - 1800266

ER -