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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2020-05-14
Computational Analysis of Graphene-Based Periodic Structures via a Three-Dimensional Field-Flux Eigenmode Finite Element Formulation
By
Vasilis Salonikios,

    Dr. Vasilis Salonikios

    Department of Electrical and Computer Engineering

    Aristotle University of Thessaloniki

    Greece

    Homepage

Michalis Nitas,

    Dr. Michalis Nitas

    Department of Electrical and Computer Engineering

    Aristotle University of Thessaloniki

    Greece

    Homepage

Savvas Raptis,

    Dr. Savvas Raptis

    Department of Electrical and Computer Engineering

    Aristotle University of Thessaloniki

    Greece

    Homepage

Traianos V. Yioultsis

    Prof. Traianos V. Yioultsis

    Electrical and Computer Engineering

    Aristotle University of Thessaloniki

    Greece

    Homepage

Progress In Electromagnetics Research M, Vol. 92, 157-167, 2020
doi:10.2528/PIERM20010302 | Google Scholar

Abstract
We present a three-dimensional finite element (FEM) field-flux eigenmode formulation, able to provide accurate modeling of the propagation characteristics of periodic structures featuring graphene. The proposed formulation leads to a linear eigenmode problem, where the effective refractive index is an unknown eigenvalue; the electric field intensity and magnetic flux density are the state variables; and graphene's contribution is efficiently incorporated via a finite conductivity boundary condition. The FEM formulation is spurious-mode free and capable of providing accurate dispersion diagrams and field distributions for arbitrary propagation directions, as opposed toother analytical or numerical approaches, while also efficiently dealing with graphene's dispersive nature. The novelty of the presented approximation is substantiated by computational results for structures incorporating graphene of random periodicity, both within passbands and bandgap frequencies.
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Citation
Vasilis Salonikios, Michalis Nitas, Savvas Raptis, and Traianos V. Yioultsis, "Computational Analysis of Graphene-Based Periodic Structures via a Three-Dimensional Field-Flux Eigenmode Finite Element Formulation," Progress In Electromagnetics Research M, Vol. 92, 157-167, 2020.
doi:10.2528/PIERM20010302
References

1. Nikitin, A. Y., F. Guinea, F. J. García-Vidal, and L. Martín-Moreno, "Edge and waveguide terahertz surface plasmon modes in graphene microribbons," Phys. Rev. B, Vol. 84, 161407, 2011.
doi:10.1103/PhysRevB.84.161407        Google Scholar

2. Politano, A. and G. Chiarello, "Plasmon modes in graphene: Status and prospect," Nanoscale, Vol. 6, 10927-10940, 2014.
doi:10.1039/C4NR03143A        Google Scholar

3. Vicarelli, L., M. S. Vitiello, D. Coquillat, A. Lombardo, A. C. Ferrari, W. Knap, M. Polini, V. Pellegrini, and A. Tredicucci, "Graphene field-effect transistors as room-temperature terahertz detectors," Nat. Mater., Vol. 11, 865-871, 2012.
doi:10.1038/nmat3417        Google Scholar

4. Tomadin, A., A. Tredicucci, V. Pellegrini, M. S. Vitiello, and M. Polini, "Photocurrent-based detection of terahertz radiation in graphene," Appl. Phys. Lett., Vol. 103, 211120, 2013.
doi:10.1063/1.4831682        Google Scholar

5. Spirito, D., D. Coquillat, S. L. De Bonis, A. Lombardo, M. Bruna, A. C. Ferrari, V. Pellegrini, A. Tredicucci, W. Knap, and M. S. Vitiello, "High performance bilayer-graphene terahertz detectors," Appl. Phys. Lett., Vol. 104, 061111, 2014.
doi:10.1063/1.4864082        Google Scholar

6. Koppens, F. H. L., T. Mueller, P. Avouris, A. C. Ferrari, M. S. Vitiello, and M. Polini, "Photodetectors based on graphene, other two-dimensional materials and hybrid systems," Nat. Nanotechnol., Vol. 9, 780-793, 2014.
doi:10.1038/nnano.2014.215        Google Scholar

7. Politano, A., H. K. Yu, D. Farías, and G. Chiarello, "Multiple acoustic surface plasmons in graphene/Cu(111) contacts," Phys. Rev. B, Vol. 97, 035414, 2018.
doi:10.1103/PhysRevB.97.035414        Google Scholar

8. Politano, A., I. Radović, D. Borka, Z. L. Mišković, H. K. Yude, D. Farías, and G. Chiarello, "Dispersion and damping of the interband π plasmon in graphene grown on Cu(111) foils," Carbon, Vol. 114, 70-76, 2017.
doi:10.1016/j.carbon.2016.11.073        Google Scholar

9. Politano, A., I. Radović, D. Borka, Z. L. Mišković, and G. Chiarello, "Interband plasmons in supported graphene on metal substrates: Theory and experiments," Carbon, Vol. 96, 91-97, 2016.
doi:10.1016/j.carbon.2015.09.053        Google Scholar

10. Politano, A., A. R. Marino, V. Formoso, D. Farías, R. Miranda, and G. Chiarello, "Quadratic dispersion and damping processes of π plasmon in monolayer graphene on Pt(111)," Plasmonics, Vol. 7, 369-376, 2012.
doi:10.1007/s11468-011-9317-1        Google Scholar

11. Politano, A., A. R. Marino, V. Formoso, D. Farías, R. Miranda, and G. Chiarello, "Evidence for acoustic-like plasmons on epitaxial graphene on Pt(111)," Phys. Rev. B, Vol. 84, 033401, 2011.
doi:10.1103/PhysRevB.84.033401        Google Scholar

12. Cupolillo, A., A. Politano, N. Ligato, D. M. Cid Perez, G. Chiarello, and L. S. Caputi, "Substrate-dependent plasmonic properties of supported graphene," Surf. Sci., Vol. 634, 76, 2015.
doi:10.1016/j.susc.2014.11.002        Google Scholar

13. Politano, A., G. Chiarello, and C. Spinella, "Plasmon spectroscopy of graphene and other two-dimensional materials with transmission electron microscopy," Mater. Sci. Semicond. Process., Vol. 65, 88-99, 2017.
doi:10.1016/j.mssp.2016.05.002        Google Scholar

14. Ben Rhouma, M., M. Oueslati, and B. Guizal, "Surface plasmons on a doped graphene sheet with periodically modulated conductivity," Superlattices and Microstructures, Vol. 96, 212-219, 2016.
doi:10.1016/j.spmi.2016.05.021        Google Scholar

15. Nikitin, A. Yu., F. Guinea, F. J. Garcia-Vidal, and L. Martin-Moreno, "Surface plasmon enhanced absorption and suppressed transmission in periodic arrays of graphene ribbons," Phys. Rev. B, Vol. 84, 161407, 2011.
doi:10.1103/PhysRevB.84.161407        Google Scholar

16. Bludov, Y. V., N. M. R. Peres, and M. I. Vasilevskiy, "Graphene-based polaritonic crystal," Phys. Rev. B, Vol. 85, 081405, 2012.
doi:10.1103/PhysRevB.85.245409        Google Scholar

17. Ferreira, A. and N. M. R. Peres, "Complete light absorption in graphene-metamaterial corrugated structures," Phys. Rev. B, Vol. 86, 205401, 2012.
doi:10.1103/PhysRevB.86.205401        Google Scholar

18. Madani, A., S. Zhong, H. Tajalli, S. R. Entezar, A. Namdar, and Y. Ma, "Tunable metamaterials made of graphene-liquid crystal multilayers," Progress In Electromagnetics Research, Vol. 143, 545-558, 2013.
doi:10.2528/PIER13080302        Google Scholar

19. Freitag, M., et al. "Photocurrent in graphene harnessed by tunable intrinsic plasmons," Nature Comm., Vol. 4, 1951, 2013.
doi:10.1038/ncomms2951        Google Scholar

20. Gómez-Díaz, J. S., M. Esquius-Morote, and J. Perruisseau-Carrier, "Plane wave excitation-detection of non-resonant plasmons along finite-width graphene strips," Optics Express, Vol. 21, 24856-24872, 2013.
doi:10.1364/OE.21.024856        Google Scholar

21. Malhat, H. A., S. H. Zainud-Deen, and S. M. Gaber, "Graphene based transmitarray for terahertz applications," Progress In Electromagnetics Research M, Vol. 36, 185-191, 2014.
doi:10.2528/PIERM14050705        Google Scholar

22. Juneghani, F. A., A. Z. Nezhad, and R. Safian, "Analysis of diffraction graphene gratings using the C-method and design of a terahertz polarizer," Progress In Electromagnetics Research M, Vol. 65, 175-186, 2018.
doi:10.2528/PIERM17102901        Google Scholar

23. Nitas, M., C. S. Antonopoulos, and T. V. Yioultsis, "EB eigenmode formulation for the analysis of lossy and evanescent modes in periodic structures and metamaterials," IEEE Trans. Magnetics, Vol. 53, 2017.
doi:10.1109/TMAG.2017.2683459        Google Scholar

24. Monk, P., Finite Element Methods for Maxwell's Equations, Oxford University Press, 2003.
doi:10.1093/acprof:oso/9780198508885.001.0001

25. Boffi, D., F. Brezzi, and M. Fortin, Mixed Finite Element Methods and Applications, Springer, 2013.
doi:10.1007/978-3-642-36519-5

26. Zhu, Y. and A. C. Cangellaris (eds.), Multigrid Finite Element Methods for Electromagnetic Field Modeling, John Wiley & Sons, 2006.
doi:10.1002/0471786381

27. Salonikios, V., S. Amanatiadis, N. Kantartzis, and T. V. Yioultsis, "Modal analysis of graphene microtubes utilizing a two-dimensional vectorial finite element method," Applied Physics A, Vol. 122, 351, 2016.
doi:10.1007/s00339-016-9862-8        Google Scholar

28. Hanson, G. W., "Dyadic Green's functions and guided surface waves for a surface conductivity model of graphene," J. Appl. Phys., Vol. 103, 064302, 2008.
doi:10.1063/1.2891452        Google Scholar

29. Gonçalves, P. A. D., E. J. C. Dias, Y. V. Bludov, and N. M. R. Peres, "Modeling the excitation of graphene plasmons in periodic grids of graphene ribbons: An analytical approach," Phys. Rev. B, Vol. 94, 195421, 2016.
doi:10.1103/PhysRevB.94.195421        Google Scholar

30. Politano, A. and G. Chiarello, "Emergence of a nonlinear plasmon in the electronic response of doped graphene," Carbon, Vol. 71, 176-80, 2014.
doi:10.1016/j.carbon.2014.01.026        Google Scholar

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