Hyperbolic metamaterials based on graphene sheets with different values of chemical potentials

Authors

  • Zh.A. Kudyshev
  • I.R. Gabitov
  • A. Kissan
  • Ye.S. Mukhametkarimov

DOI:

https://doi.org/10.26577/phst-2016-2-100

Abstract

In this paper possibility of creating a medium based on graphene-dielectric structures with the
hyperbolic shape wave number dispersion is considered for the case when two types of graphene sheets
with different chemical potentials periodically alternate. Using the Bloch theorem and the transfer
matrix method, dispersion relations for the light wave numbers are derived for the layered structure and
the possibility is demonstrated to manipulate the light propagation. The optical conductivity of
graphene sheets is known to be frequency dependent and in the present scrutiny it is estimated via
Kubo formula which simultaneously accounts for both the inter band and the intraband transitions of
electrons. To apply the transfer matrix method we routinely express the amplitudes of the incident and
reflected radiation at the input to the layered structure in terms of the amplitudes of electromagnetic
waves at the output. The transmission spectrum of the layered dielectric medium which is sliced by two
types of graphene sheets with different chemical potentials have a staircase behavior. It is demonstrated
that the jump points in the transmission spectrum are simply controlled by adjusting the values of
chemical potentials of graphene sheets.

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Published

2018-05-03

Issue

Section

Plasma Physics and Related Technology