Electromagnetic radiation absorption enhancement in graphene by diffraction grating

Authors

  • Marina A. Yakovleva Research Institute for Nuclear Problems, Belarusian State University, 11 Babrujskaja Street, Minsk 220030, Belarus; National Center for Scientific Research, C2N-UMR 9001 Route de Nozay, Marcoussis 91460, France
  • Konstantin G. Batrakov Research Institute for Nuclear Problems, Belarusian State University, 11 Babrujskaja Street, Minsk 220030, Belarus; Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

Keywords:

diffraction grating, graphene, boundary conditions, Dirac spectrum
Supporting Agencies
The work was supported by Belarusian Republican Foundation for Fundamental Research (grant No. Ф17АРМ-025), Belarusian State program for Scientific Research «Photonics and Opto- and Micro-electro nics» 1.1.05.1 and European project No. H2020-644076 CoExAN.

Abstract

In the paper the possibility to increase significantly the terahertz radiation absorption in graphene by a metallic grating is studied theoretically. The solution of this problem consists in expansion of the fields in the Floquet modes and application of the boundary conditions for the tangential components of an electromagnetic field. Due to diffraction of an electromagnetic wave from the grating and to interference of the waves, it is possible to achieve the concentration of the electromagnetic field energy in the region of the graphene location. It is shown that almost complete absorption of electromagnetic radiation in an atomically thin layer of graphene is achieved for reflection and transmission gratings with the particular physical parameters, that is several times higher than the absorption in a free-standing graphene layer of the same parameters. The obtained results can be used for design of detectors and sensors in the rapidly developing area of terahertz spectroscopy. 

Author Biographies

  • Marina A. Yakovleva, Research Institute for Nuclear Problems, Belarusian State University, 11 Babrujskaja Street, Minsk 220030, Belarus; National Center for Scientific Research, C2N-UMR 9001 Route de Nozay, Marcoussis 91460, France

    junior research assistant, Research Institute for Nuclear Problems, Belarusian State University; researcher at the laboratory of photonics and nanostructures, National Center for Scientific Research

  • Konstantin G. Batrakov, Research Institute for Nuclear Problems, Belarusian State University, 11 Babrujskaja Street, Minsk 220030, Belarus; Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

    PhD (physics and mathematics); associate professor at the department of nuclear physics, Belarusian State University; leading researcher at the laboratory of nanoelectromagnetism, Research Institute for Nuclear Problems, Belarusian State University

References

  1. Geim A. K., Novoselov K. S. The rise of grapheme. Nat. Mater. 2007. Vol. 6, issue 3. P. 183–191. DOI: 10.1038/nmat1849.
  2. Katsnelson M. I. Graphene: Carbon in Two Dimensions. New York : Cambridge University Press, 2012.
  3. Mikhailov S. A. Carbon Nanotubes and Graphene for Photonic Applications. Cambridge : Woodhead Publishing, 2013. P. 171–219.
  4. Ferrari A. C., Bonaccorso F., Falʼko V., et al. Science and technology roadmap for graphene, related two-dimensional crystals, and hybrid systems. Nanoscale. 2015. Vol. 7. P. 4598–4810. DOI: 10.1039/C4NR01600A.
  5. Vicarelli L., Vitiello M. S., Coquillat D., et al. Graphene field-effect transistors as room-temperature terahertz detectors. Nat. Mater. 2012. Vol. 11, issue 10. P. 865–871. DOI: 10.1038/nmat3417.
  6. Bonaccorso F., Sun Z., Hasan T., et al. Graphene photonics and optoelectronic. Nat. Photonics. 2010. Vol. 4. P. 611–622. DOI: 10.1038/nphoton.2010.186.
  7. Booth T. J., Blake P., Nair R. R. Macroscopic Graphene Membranes and Their Extroordinary Stiffness. Nano Lett. 2008. Vol. 8, issue 8. P. 2442–2446. DOI: 10.1021/nl801412y.
  8. Kuzhir P., Volynets N., Maksimenko S., et al. Multilayered Graphene in Ka-Band: Nanoscale Coating for Aerospace Applications. J. Nanosci. Nanotechnol. 2013. Vol. 13, No. 8. P. 5864–5867. DOI: 10.1166/jnn.2013.7551.
  9. Wallace P. R. The Band Theory of Graphite. Phys. Rev. 1947. Vol. 71, issue 9. P. 622–634. DOI: 10.1103/PhysRev.71.635.
  10. Batrakov K., Kuzhir P., Maksimenko S., et al. Flexible transparent graphene/polymer multilayers for efficient electromagnetic field absorption. Sci. Rep. 2014. Vol. 4. Article ID: 7191. DOI: 10.1038/srep07191.
  11. Batrakov K., Kuzhir P., Maksimenko S., et al. Enhanced microwave-to-terahertz absorption in grapheme. Appl. Phys. Lett. 2016. Vol. 108, issue 12. Article ID: 123101. DOI: 10.1063/1.4944531.
  12. Ott H. Electromagnetic compatibility engineering. New York : John Wiley and Sons, 2009.
  13. Lee Yun-Shik. Principles of Terahertz Science and Technology. New York : Springer, 2009.
  14. Landau L. D., Lifshitz E. M. [Theoretical physics. Electrodynamics of Continuous Media]. Moscow, 1982 (in Russ.).
  15. Knop K. Rigorous diffraction theory for transmission phase gratings with deep rectangular grooves. JOSA. 1978. Vol. 68, issue 9. P. 1206–1210. DOI: 10.1364/JOSA.68.001206.
  16. Lalanne P., Morris G. M. Highly improved convergence of the coupled-wave method for TM polarization. JOSA A. 1996. Vol. 13, issue 4. P. 779–784. DOI: 10.1364/JOSAA.13.000779.

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Published

2018-04-30

Issue

No. 1 (2018): Journal of the Belarusian State University. Physics

Section

Condensed State Physics

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How to Cite

(1)
Yakovleva, M. A.; Batrakov, K. G. Electromagnetic Radiation Absorption Enhancement in Graphene by Diffraction Grating. Журнал Белорусского государственного университета. Физика 2018, No. 1, 88-94.