Toroidic and antitoroidic orders in hexagonal arrays of dielectric trimers

Magnetic group approach

verfasst von
Victor Dmitriev, Silvio Domingos Silva Santos, Andrey B. Evlyukhin, Anton S. Kupriianov, Vladimir R. Tuz
Abstract

Herein, we investigate symmetry-protected toroidal dipole resonances and conditions of their excitation in a new type of electromagnetic metamaterials. These metamaterials are all-dielectric planar periodic arrays of dielectric disks disposed on a dielectric substrate. The elementary building blocks of the array are trimers which are distributed in hexagonal unit supercells. The highest geometrical symmetry of the unit supercell is C6v. The analysis is fulfilled by using the representation theory of groups with application of the magnetic group theory, which is a new approach in solving such problems. We have shown that to get access to the toroidal supermodes of the array, the symmetry of the unit supercell must be broken twice: firstly, the C3v symmetry of the trimer, and secondly, the C6v symmetry of the unit supercell needs to be reduced. Selection rules for the symmetric and antisymmetric orders of the toroidal dipole moments in the arrays are defined. In particular, we have shown that with the reduction of the unit supercell symmetry to the C2v group, the array exhibits the toroidal dipole resonance with antitoroidic order. The arrays with the lower Cs symmetry can provide resonances with both toroidic and antitoroidic orders. It is also shown that these arrays are always polarization sensitive. Full-wave simulations and experiments confirm the theoretical predictions. The suggested metamaterials can provide an enhanced light-matter interaction due to the spatially and temporally confined light in resonant systems with very high quality factors.

Organisationseinheit(en)
Institut für Quantenoptik
PhoenixD: Simulation, Fabrikation und Anwendung optischer Systeme
Externe Organisation(en)
Universidade Federal do Para
Jilin University
Typ
Artikel
Journal
Physical Review B
Band
103
ISSN
2469-9950
Publikationsdatum
05.04.2021
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Elektronische, optische und magnetische Materialien, Physik der kondensierten Materie
Elektronische Version(en)
https://arxiv.org/abs/2101.08714 (Zugang: Offen)
https://doi.org/10.1103/PhysRevB.103.165402 (Zugang: Geschlossen)