A systematic insight into the surface plasmon polaritons guided by the graphene based heterostructures
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A systematic insight into the surface plasmon polaritons guided by the graphene based heterostructures Tatjana Gric1,2,3 · Edik Rafailov2,4 Received: 9 June 2020 / Accepted: 29 August 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract Graphene paves the way for the outstanding applications as it is one-atom thick and possesses perfect tunability properties. The main goal of this work is to study mode patterns of surface waves propagating in the graphene-based structures in the far-infrared region. Herein, we study a broad variety of graphene structures starting with the simplest graphene/dielectric interface guiding conventional surface plasmon polaritons (SPPs) and ending up with more complicated cases allowing to have a deeper insight into the complexity of the mode patterns tunability features provided by graphene paving the way for the hybridized waves. Thus, the hybridized surface-phonon-plasmon-polaritons (SPPPs) guided by graphene/LiF/glass compounds are theoretically studied. By constructing a heterostructure comprising graphene and LiF one may benefit from the advantages of both, resulting in engineerable hybridized SPPPs propagating in both directions, i.e. either forwardly or backwardly. Moreover, we conclude with presentation of the metamaterial composed of graphene and LiF building blocks allowing for an enhanced degree of freedom. Keywords Graphene · Metamaterial · Surface plasmon polaritons
1 Introduction Graphene, treated as a two-dimensional (2D) form of carbon with the atoms organized in a honeycomb lattice (Novoselov et al. 2004, 2005), has attracted tremendous attention so far due to its outstanding mechanical, electric, magnetic and thermal characteristics paving a way for a large stream of exciting applications that are being vigorously pursued by academia and industry (Geim and Novoselov 2007). A way to achieve simultaneous subdiffractional confinement through the stimulation of surface phonon polariton (SPhP) modes (Caldwell et al. 2015) is also offered by polar dielectrics * Tatjana Gric [email protected] 1
Department of Electronic Systems, Vilnius Gediminas Technical University, Vilnius, Lithuania
2
Aston Institute of Photonic Technologies, Aston University, Birmingham B4 7ET, UK
3
Semiconductor Physics Institute, Center for Physical Sciences and Technology, Vilnius, Lithuania
4
Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia
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alongside noble metals and graphene. SPhPs appear because of the interaction of optical phonons with long-wavelength incident fields. The former phenomenon creates a surface excitation mediated by the atomic vibrations. One can stimulate such SPhP modes between the longitudinal optical (LO) and transverse optical (TO) phonon frequencies of the polar dielectrics. This spectral range is named as the Reststrahlen (RS) band or polaritonic gap. Because of appearance of SPhPs, polar-based metamaterials fit perfectly well for lig
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