Abstract
A new sensing approach utilizing Mie resonances in metamaterial arrays composed of dielectric resonators is proposed. These arrays were found to exhibit specific, extremely high-Q factor (up to 15,000) resonances at frequencies corresponding to the lower edge of the array second transmission band. The observed resonances possessed with features typical for Fano resonances (FRs), which were initially revealed in atomic processes and recently detected in macro-structures, where they resulted from interference between local resonances and a continuum of background waves. Our studies demonstrate that frequencies and strength of Fano-type resonances in all-dielectric arrays are defined by interaction between local Mie resonances and Fabry-Perot oscillations of Bloch eigenmodes that makes possible controlling the resonance responses by changing array arrangements. The opportunity for obtaining high-Q responses in compact arrays is investigated and promising designs for sensing the dielectric properties of analytes in the ambient are proposed.
Highlights
Until recently, the phenomenon of Fano resonance (FR) has been attributed to a special type of electron scattering in atomic systems
FRs demonstrate a peculiar type of line shape, they can originate from conventional resonances of Lorentz-Mie type under special conditions provided by interference between locally initiated scattered waves and a continuum of background modes formed in multi-resonator systems under wave incidence [1,2,3]
The fact that the FR-like resonances observed in dielectric resonators (DRs) arrays above the transmission gap are accompanied by full resonance transmission and, can be considered as related to transmission resonances, which are responsible for fringes in transmission spectra of photonic crystals (PhCs) [41], let us suggest that waves participating in the above transmission contribute to formation of the FR-like resonances
Summary
The phenomenon of Fano resonance (FR) has been attributed to a special type of electron scattering in atomic systems. FRs demonstrate a peculiar type of line shape, they can originate from conventional resonances of Lorentz-Mie type under special conditions provided by interference between locally initiated scattered waves and a continuum of background modes formed in multi-resonator systems under wave incidence [1,2,3]. In difference from the latter “bright” modes, the former “dark” modes are weakly coupled to incident waves, they can be pumped due to interaction with “bright”. Band diagrams of the arrays were simulated by using the MPB software developed for photonic crystal studies [17]
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