2016
DOI: 10.1007/s00339-016-9862-8
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Modal analysis of graphene microtubes utilizing a two-dimensional vectorial finite element method

Abstract: The propagation properties of surface plasmon polariton waves on graphene microtubes were investigated in this paper. A precise vectorial finite element modal solver that models graphene as a surface boundary condition is devised for the graphene microribbon case. The solver extracts the dispersion curves through the effective index of various supported modes, while its propagation length, compared to the microstrip's one, unveils a notable behavior of surface waves. Also, radial and axial electric field compo… Show more

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Cited by 6 publications
(2 citation statements)
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“…The graphene material can be characterized by effective index defined as n eff = 𝛽/ k 0 , where k 0 is the wave number in free space. As for transverse magnetic (TM) mode, the propagation constants of SPPs supported by a single-layer graphene, can be expressed as [49,50,51,52] β=k01(2η0σg)2 where η 0 (377 Ω) is the intrinsic impedance of the free space. As far as band structure calculations are concerned, it is generally sufficient to consider the wave vector k around the edge of the irreducible Brillouin zone (IBZ: form Г to X to M ) while ignoring the inner region, which can be justified from the symmetry of the structure.…”
Section: Simulation Methods and Modelsmentioning
confidence: 99%
“…The graphene material can be characterized by effective index defined as n eff = 𝛽/ k 0 , where k 0 is the wave number in free space. As for transverse magnetic (TM) mode, the propagation constants of SPPs supported by a single-layer graphene, can be expressed as [49,50,51,52] β=k01(2η0σg)2 where η 0 (377 Ω) is the intrinsic impedance of the free space. As far as band structure calculations are concerned, it is generally sufficient to consider the wave vector k around the edge of the irreducible Brillouin zone (IBZ: form Г to X to M ) while ignoring the inner region, which can be justified from the symmetry of the structure.…”
Section: Simulation Methods and Modelsmentioning
confidence: 99%
“…However, it should be noted that the optical properties or optical waves in graphene have also been investigated [34][35][36][37][38][39][40][41]. This work shows an analogy between the electron wave nature in graphene electronics and the electromagnetic waves in dielectrics.…”
Section: Introductionmentioning
confidence: 99%