Model of Metamaterial Based on Graphene Scrolls and Carbon Nanotubes with Negative Refractive Index

A I Siahlo,N A Poklonski,S V Ratkevich,S A Vyrko

doi:10.1134/s1063782618140294

Abstract

The structure of a new metamaterial with negative permittivity and permeability that is made of periodically positioned graphene/boron nitride nanoscrolls and carbon nanotubes is proposed. The parameters of the metamaterial structure with a negative refractive index for the frequency of an electromagnetic wave within the visible range (namely, from near infrared to yellow) are calculated.

Highlights

Optical properties of artificial periodic structures with negative values for both permittivity ε = εrε0 and permeability μ = μrμ0 were considered in detail in [1, 2].The dispersion equation k2 = (ω2/c2)n2, where ω is the angular frequency, c = (ε0μ0)–1/2 is the speed of light in vacuum, n is the refractive index that relates the values of the wave vector k and the angular frequency ω of the electromagnetic wave does not change its form if both εr and μr have negative values [1]
While for light propagation in vacuum or in ordinary materials the vectors of electric E and magnetic H components of the electromagnetic field together with the wave vector k = knk form a right-handed system of vectors, for εr < 0 and μr < 0 the system of vectors (E, H, k) is a left-handed one
A new metamaterial with negative permittivity εr and permeability μr made of periodically positioned graphene/boron nitride nanoscrolls and carbon nanotubes is proposed

Summary

Introduction

The dispersion equation k2 = (ω2/c2)n2, where ω is the angular frequency, c = (ε0μ0)–1/2 is the speed of light in vacuum, n is the refractive index that relates the values of the wave vector k and the angular frequency ω of the electromagnetic wave does not change its form if both εr and μr have negative values [1]. While for light propagation in vacuum (εr = μr = 1) or in ordinary materials (εr > 0 and μr > 0) the vectors of electric E and magnetic H components of the electromagnetic field together with the wave vector k = knk (where nk is the unit vector directed along k) form a right-handed system of vectors, for εr < 0 and μr < 0 the system of vectors (E, H, k) is a left-handed one. At the incidence of an electromagnetic wave on the interface of a right-handed and a left-handed material the transmitted wave is on the same side from the normal to the interface as the incident wave [1] (Fig. 1)

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