Enhancement of the Purcell Effect by the Wire Metamaterials Formed by the Hexagonal Unit Cells

Tatjana Gric,Edik U Rafailov

doi:10.3390/app10165687

Abstract

The dependence of the Purcell factor on nanowire metamaterial geometry was analyzed. Calculations made about the Purcell factor in realistic composites, operating at an optical spectral range, are provided. We applied a metamaterial, aiming to mitigate the negative effects of absorption in metals on the Purcell effect in nanowire structures. A nanowire metamaterial was treated as an anisotropic composite in the long-wavelength limit. We investigated the mode patterns of the surface waves, propagating at the boundary separating such a structure and a dielectric material, along with the position of the peak in the local density of states, for the various filling factors of the periodic structure. By calculating the frequency dependence of the Purcell factor, we showed an increase in the peak value in comparison with the conventional plasmonic structure in the (1–100 THz) frequency range. Moreover, an optimal set of the parameters, needed to obtain the two topological transitions in the frequency range under investigation, is proposed.

Highlights

Nanowire metamaterials, which drastically affect fundamental physics and practical applications, have attracted significant attention over the years
We will demonstrate how the proposed structure can be used to control the properties of the metamaterial, mode patterns of a surface plasmon, and value of the Purcell factor
It should be mentioned that the resonance of the Purcell factor corresponded to the topological transition [23]

Summary

Introduction

Nanowire metamaterials, which drastically affect fundamental physics and practical applications, have attracted significant attention over the years. These nanowire metamaterials open wide avenues from which hyperbolic dispersion can be achieved [1]. A broadband increase in the density of photonic states, in comparison with vacuum by the factor of the order (λ/a) , where λ is the wavelength and a is the lattice period [9], stands as a particular feature of the wire medium This causes the remarkable enhancement of the light–matter interaction outcomes; the former includes the spontaneous emission (the Purcell effect) [10,11,12], Vavilov–Cherenkov radiation [13,14], and heat transport [15]

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