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arXiv · 2011.11791

High-Q localized states in finite arrays of subwavelength resonators

Danil F. Kornovan·Roman S. Savelev·Yuri S. Kivshar·Mihail I. Petrov
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Abstract

We introduce a novel physical mechanism for achieving giant quality factors ($Q$-factors) in finite-length periodic arrays of subwavelength optical resonators. The underlying physics is based on interference between the band-edge mode and another standing mode in the array, and the formation of spatially localized states with dramatically suppressed radiative losses. We demonstrate this concept for an array of $N$ dipoles with simultaneous cancellation of multipoles up to $N$-th order and the $Q$ factor growing as $Q \propto N^{\alpha}$, where $\alpha \gtrsim 6.88$. Based on this finding, we propose a realistic array of Mie-resonant nanoparticles ($N \lesssim 29$) with a dramatic enhancement of the Purcell factor (up to $\sim $3400) achieved by tuning of the array parameters.

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Danil F. Kornovan, Roman S. Savelev, Yuri S. Kivshar, Mihail I. Petrov. 2020-11-23. High-Q localized states in finite arrays of subwavelength resonators. https://arxiv.org/abs/2011.11791

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