High-quality trapped modes in all-dielectric metamaterials
Vladimir R. Tuz, Vyacheslav V. Khardikov, Anton S. Kupriianov, and Kateryna L. Domina, Su Xu, Hai Wang, Hong-Bo Sun

TL;DR
This paper investigates all-dielectric metamaterials with subwavelength particles, identifying resonant states and demonstrating how geometric asymmetry and specific hole shapes enable high-quality trapped modes for potential applications.
Contribution
It introduces a novel all-dielectric metamaterial design with a penetrating hole in dielectric disks, analyzing how asymmetry and hole shape influence trapped mode formation.
Findings
Asymmetry from off-centered holes affects mode formation.
Coaxial-sector notches improve trapped mode excitation.
Resonant states linked to individual dielectric resonators.
Abstract
A planar all-dielectric metamaterial made of a double-periodic lattice whose unit cell consists of a single subwavelength dielectric particle having the form of a disk possessing a penetrating hole is considered. The resonant states in the transmitted spectra of the metamaterial are identified considering modes inherent to the individual cylindrical dielectric resonator. A correlation between the asymmetry in particle's geometry, which arises from the off-centered displacement of the hole, and formation of the Mie-type and trapped modes is established. The advantages of using a coaxial-sector notch instead of a round hole for the trapped mode excitation are explained.
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