Abstract

This paper presents a theoretical and experimental study of the effect of ballistic electrons on the optical response of MIM (Metal-Insulator-Metal) like hyperbolic metamaterial structures. The simulated model using standard parameters and the experimental optical transmission show a 20% peak difference due to the presence of ballistic transport in the metal. A semi-analytic approximation based on the Drude's model is used for accurately predicting the optical response of the hyperbolic substrate and plasmon damping in the fabricated metasurfaces.

Highlights

  • Metamaterials, especially those designed for operating in the visible spectrum, enable deeper control of light

  • We present a theoretical and experimental study of the effect of ballistic electrons on the optical response of a MIM (Metal-Insulator-Metal) hyperbolic metamaterial structure consisting of silver and silicon dioxide thin films

  • When the mean free path of electrons in the material is comparable to its thickness, an extended description must be considered taking into account the effect of ballistic electrons on the material’s complex permittivity

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Summary

Introduction

Metamaterials, especially those designed for operating in the visible spectrum, enable deeper control of light. The only limit for the wavelength compression is defined by the non-ideality physical properties of its constituent material [6] and by the significant losses at highfrequency operation [7, 8] This exotic property permits electric field confinement causing a spontaneous emission enhancement leading to a large Purcell factor [9, 10, 11]. As the metal thickness decreases, the effect of ballistic electrons is neglected as the models are usually fitted for a single thickness. This is seen by the increase of optical attenuation in the transmitted light. The effect of increased electron damping behavior was analyzed relative to the plasmonic behavior of the structure

Optical response of silver thin films
Drude Model
Optical Response of Silver Thin Films
Addition of ballistic effects in Experimental Data
Optical Response of Hyperbolic Substrate
Optical Response of Hyperbolic Metasurfaces
Discussions
Conclusions
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