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arXiv · 1812.10817

All-dielectric metasurfaces with trapped modes: group-theoretical description

Pengchao Yu·Anton S. Kupriianov·Victor Dmitriev·Vladimir R. Tuz
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Abstract

An all-dielectric metasurface featuring resonant conditions of the trapped mode excitation is considered. It is composed of a lattice of subwavelength particles which are made of a high-refractive-index dielectric material structured in the form of disks. Each particle within the lattice behaves as an individual dielectric resonator supporting a set of electric and magnetic (Mie-type) modes. In order to access a trapped mode (which is the TE01 mode of the resonator), a round eccentric penetrating hole is made in the disk. In the lattice, the disks are arranged into clusters (unit super-cells) consisting of four particles. Different orientations of holes in the super-cell correspond to different symmetry groups producing different electromagnetic response of the overall metasurface when it is irradiated by the linearly polarized waves with normal incidence. We perform a systematic analysis of the electromagnetic response of the metasurface as well as conditions of the trapped mode excitation involving the group-theoretical description, representation theory and microwave circuit theory. Both polarization-sensitive and polarization-insensitive arrangements of particles and conditions for dynamic ferromagnetic and antiferromagnetic order are derived. Finally, we observe the trapped mode manifestation in the microwave experiment.

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Pengchao Yu, Anton S. Kupriianov, Victor Dmitriev, Vladimir R. Tuz. 2018-12-27. All-dielectric metasurfaces with trapped modes: group-theoretical description. https://doi.org/10.1063/1.5087054

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