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

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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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