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

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.

arXiv comment12 pages, 11 figures

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Cited by in corpus (13)

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• Selection Rules for Quasi-Bound States in the Continuum
• Metasurface engineering through bound states in the continuum
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• Extremely intrinsic chirality in two-dimensional planar waveguide grating induced by quasi-bound states in the continuum
• Symmetry analysis of trimer-based all-dielectric metasurfaces with toroidal dipole modes
• Extreme nonreciprocity in metasurfaces based on bound states in the continuum
• Magnetic dipole ordering in resonant dielectric metasurfaces
• Toroidic and antitoroidic orders in hexagonal arrays of dielectric trimers: magnetic group approach
• Homogeneous enhancement of electric near-field in all-dielectric metasurfaces composed of cluster-based unit cells
• Trapped mode control in metasurfaces composed of particles with the form birefringence property
• Tunable collective electromagnetic induced transparency-like effect due to coupling of dual-band bound states in the continuum
• Transition between radial and toroidal orders in a trimer-based magnetic metasurface