Two layer graphene heterostructures for waves slowing down: operator approach to waveguide problem

  • Marina A. Yakovleva Institute for Nuclear Problems, Belarusian State University, 11 Babrujskaja Street, Minsk 220030, Belarus; National Centre for Scientific Research, Université Paris-Saclay, 10 Thomas Gobert Boulevard, Palaiseau 91120, France https://orcid.org/0000-0002-8718-1080
  • Konstantin G. Batrakov Institute for Nuclear Problems, Belarusian State University, 11 Babrujskaja Street, Minsk 220030, Belarus; Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus; Tomsk State University, 36 Lenin Avenue, Tomsk 634050, Russia https://orcid.org/0000-0002-9073-239X
DOI: https://doi.org/10.33581/2520-2243-2020-1-73-82

Abstract

Slowing down the phase velocity of light in media has various applications. The generation of electromagnetic radiation using coherent Cherenkov mechanism is among them. Meanwhile, there is a need for compact terahertz radiation sources. Due to outstanding graphene properties, heterostructures consisting of alternating graphene/dielectric layers can operate as a medium for the generation of terahertz radiation. In the present paper, the slowing down and propagation coefficients for the modes supported in a two-layer graphene structure are studied. The study is conducted by means of the operator approach to wave propagation in stratified structures. The operator approach allows one to use coordinates-free notations and to consider consequently arbitrarily complex heterostructures (including anisotropic layers, for instance). The influence of interlayer distance and the value of graphene chemical potential on waves slowdown is determined. The obtained results open up prospects for creating a new type of terahertz radiation sources.

Author Biographies

Marina A. Yakovleva, Institute for Nuclear Problems, Belarusian State University, 11 Babrujskaja Street, Minsk 220030, Belarus; National Centre for Scientific Research, Université Paris-Saclay, 10 Thomas Gobert Boulevard, Palaiseau 91120, France

junior researcher probationer at the laboratory of nanoelectromagnetics, Institute for Nuclear Problems, Belarusian State University, and postgraduate student at the joint laboratory of micro and nanooptics, Centre for Nanoscience and Nanotechnology (C2N), National Centre for Scientific Research, Université Paris-Saclay

Konstantin G. Batrakov, Institute for Nuclear Problems, Belarusian State University, 11 Babrujskaja Street, Minsk 220030, Belarus; Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus; Tomsk State University, 36 Lenin Avenue, Tomsk 634050, Russia

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

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Published
2020-01-31
Keywords: graphene, heterostructure, Cherenkov radiation, operator approach, phase velocity
Supporting Agencies This publication is based on work supported by Belarus Fundamental Research Fond project F19ARM-017. Authors also acknowledge a support from a grant EU «Horizon 2020», MCSA RISE project No. 734164 Graphene-3d, EU «Horizon 2020» project H2020-644076 CoExAN, and World Federation of Scientists on the project «Science and Technologies».
How to Cite
Yakovleva, M. A., & Batrakov, K. G. (2020). Two layer graphene heterostructures for waves slowing down: operator approach to waveguide problem. Journal of the Belarusian State University. Physics, 1, 73-82. https://doi.org/10.33581/2520-2243-2020-1-73-82
Issue
No 1 (2020): Journal of the Belarusian State University. Physics
Section
Condensed State Physics

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