Modified Brewster angle on conducting 2D materials

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Abstract

Insertion of two-dimensional (2D) materials in optical systems modifies their electrodynamical response. In particular, the Brewster angle undergoes an up-shift if a substrate is covered with a conducting 2D material. This work theoretically and experimentally investigates this effect related to the 2D induced current at the interface. The shift is predicted for all conducting 2D materials and tunability with respect to the Fermi level of graphene is evidenced. Analytical approximations for high and low 2D conductivities are proposed and avoid cumbersome numerical analysis of experimental data. Experimental demonstration using spectroscopic ellipsometry has been performed in the UV to NIR range on mono-, bi- and trilayer graphene samples. The non-contact measurement of this modified Brewster angle allows to deduce the optical conductivity of 2D materials. Applications to telecommunication technologies can be considered thanks to the tunability of the shift at 1.55 μm.
Original languageEnglish
Article number025007
Number of pages8
Journal2D Materials
Volume5
Issue number2
DOIs
Publication statusPublished - 30 Jan 2018

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Brewster angle
conduction
Graphite
shift
graphene
Graphene
low conductivity
Optical conductivity
ellipsometry
numerical analysis
Spectroscopic ellipsometry
telecommunication
insertion
Induced currents
Fermi level
Optical systems
Telecommunication
Numerical analysis
conductivity
Demonstrations

Keywords

  • 2D conducting materials
  • Brewster angle
  • conductivity
  • graphene
  • non-contact measurement

Cite this

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title = "Modified Brewster angle on conducting 2D materials",
abstract = "Insertion of two-dimensional (2D) materials in optical systems modifies their electrodynamical response. In particular, the Brewster angle undergoes an up-shift if a substrate is covered with a conducting 2D material. This work theoretically and experimentally investigates this effect related to the 2D induced current at the interface. The shift is predicted for all conducting 2D materials and tunability with respect to the Fermi level of graphene is evidenced. Analytical approximations for high and low 2D conductivities are proposed and avoid cumbersome numerical analysis of experimental data. Experimental demonstration using spectroscopic ellipsometry has been performed in the UV to NIR range on mono-, bi- and trilayer graphene samples. The non-contact measurement of this modified Brewster angle allows to deduce the optical conductivity of 2D materials. Applications to telecommunication technologies can be considered thanks to the tunability of the shift at 1.55 μm.",
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Modified Brewster angle on conducting 2D materials. / Majerus, Bruno; Cormann, Mirko; Reckinger, Nicolas; Paillet, Matthieu; Henrard, Luc; Lambin, Philippe; Lobet, Micha L.

In: 2D Materials, Vol. 5, No. 2, 025007, 30.01.2018.

Research output: Contribution to journalArticle

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T1 - Modified Brewster angle on conducting 2D materials

AU - Majerus, Bruno

AU - Cormann, Mirko

AU - Reckinger, Nicolas

AU - Paillet, Matthieu

AU - Henrard, Luc

AU - Lambin, Philippe

AU - Lobet, Micha L.

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Y1 - 2018/1/30

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AB - Insertion of two-dimensional (2D) materials in optical systems modifies their electrodynamical response. In particular, the Brewster angle undergoes an up-shift if a substrate is covered with a conducting 2D material. This work theoretically and experimentally investigates this effect related to the 2D induced current at the interface. The shift is predicted for all conducting 2D materials and tunability with respect to the Fermi level of graphene is evidenced. Analytical approximations for high and low 2D conductivities are proposed and avoid cumbersome numerical analysis of experimental data. Experimental demonstration using spectroscopic ellipsometry has been performed in the UV to NIR range on mono-, bi- and trilayer graphene samples. The non-contact measurement of this modified Brewster angle allows to deduce the optical conductivity of 2D materials. Applications to telecommunication technologies can be considered thanks to the tunability of the shift at 1.55 μm.

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