Abstract
The natural modes (eigenmodes) of graphene-covered circular dielectric micro-cylinders are studied based on the corresponding full-wave electromagnetic eigenvalue problem, in which complex resonance frequencies and corresponding fields are determined numerically. It is shown that the set of complex frequencies splits into two families. The first one corresponds to the modes of the dielectric cylinder perturbed by the graphene cover and the second family represents modes of the graphene cover itself which are plasmon modes. By introducing a transition coefficient, the transformation of the natural modes of the bare dielectric cylinder to the modes of the graphene and the perfectly electric conducting cylinder filled with dielectric are traced. In particular it was shown that the plasmon modes appear not only as a result of the transformation of the inner modes of the perfectly conducting cylinder but also of outer complex modes when the transition coefficient varies from zero to one. In the paper the natural modes are analyzed together with the two-dimensional scattering problem where the cylinder is excited by the H-polarized plane wave. The total and backward scattering cross-sections and the absorption cross-section versus the frequency are presented. It is shown that resonances in the behavior of these cross-sections strongly correlate with the complex frequencies of the natural modes. For a cylinder radius in the micrometer range the principal-mode resonances lay in the THz range. Consequently an important application is sensing at THz frequencies, via measuring the environment-dependent resonance frequencies.
Similar content being viewed by others
Data availability
The authors present, in the paper, all relevant equations, which are easily programmed in direct manner and lead to the computer code that delivers all the presented results.
References
Christensen, T., Jauho, A., Wubs, M., Mortensen, N.A.: Localized plasmons in graphene coated nanospheres. Phys. Rev. B 91, 125414 (2015)
Cuevas, M.: Spontaneous emission in plasmonic graphene subwavelength wires of arbitrary sections. J. Quant. Spectrosc. Radiat. Transf. 206, 157–162 (2018)
Cuevas, M., Riso, M.A., Depine, R.A.: Complex frequencies and field distributions of localized surface plasmon modes in graphene-coated subwavelength wires. J. Quant. Spectrosc. Radiat. Transf. 173, 26–33 (2016)
Dai, C., Agarwal, K., Bechtel, H.A., Liu, C., Joung, D., Nemilentsau, A., Su, Q., Low, T., Koester, S.J., Cho, J.-H.: Hybridized radial and edge coupled 3D plasmon modes in self-assembled graphene nanocylinders. Small 17, 2100079 (2021)
Dettmann, C.P., Morozov, G.V., Sieber, M., Waalkens, H.: Internal and external resonances of dielectric disks. Eur. Phys. Lett. 87, 34003 (2009)
Fallahi, A., Perruisseau-Carrier, J.: Design of tunable biperiodic graphene metasurfaces. Phys. Rev. B 86, 195408 (2012)
Farmani, H., Farmani, A., Biglari, Z.: A label-free graphene-based nanosensor using surface plasmon resonance for biomaterials detection. Phys. E Low Dimens. Syst. Nanostruct. 116, 113730 (2020)
Gingins, M., Cuevas, M., Depine, R.: Surface plasmon dispersion engineering for optimizing scattering, emission, and radiation properties on a graphene spherical device. Appl. Opt. 59(14), 4254–4262 (2020)
Hanson, G.W.: Dyadic Green’s functions and guided surface waves for a surface conductivity model of graphene. J. Appl. Phys. 103, 064302 (2008)
Herasymova, D.O., Natarov, D.M., Dukhopelnykov, S.V., Zinenko, T.L., Lucido, M., Nosich, A.I.: Threshold conditions for transversal modes of tunable plasmonic nanolasers shaped as single and twin graphene-covered circular quantum wires. IOP Nanotechnology 34, 495001 (2022). https://doi.org/10.1088/1361-6528/ac8e0c
Khosravian, E., Mashayekhi, H.R., Farmani, A.: Highly polarization-sensitive, broadband, low dark current, high responsivity graphene-based photodetector utilizing a metal nano-grating at telecommunication wavelengths. J. Opt. Soc. Am. B 38(4), 1192–1199 (2021)
Low, T., Avouris, P.: Graphene plasmonics for terahertz to mid-infrared applications. ACS Nano 8, 1086–1101 (2014)
Naserpour, M., Zapata-Rodríguez, C.J., Vuković, S.M., Pashaeiadl, H., Belić, M.R.: Tunable invisibility cloaking by using isolated graphene-coated nanowires and dimers. Sci. Rep. 7(1), 1–14 (2017)
Ponnusamy, M., Ramya, K.C., Sivasankaran, V., Farmani, H., Farmani, A.: Emerging advanced photonics applications of graphene and beyond-graphene 2D materials: recent advances. J. Mater. Res. 37, 391–404 (2022)
Raad, S.H., Zapata-Rodríguez, C.J., Atlasbaf, Z.: Multi-frequency super-scattering from subwavelength graphene-coated nanotubes. J. Opt. Soc. Am. B 36(8), 2292–2298 (2019)
Riso, M., Cuevas, M., Depine, R.A.: Tunable plasmonic enhancement of light scattering and absorption in graphene coated subwavelength wires. J. Opt. 17, 075001 (2015)
Rodrigo, D., Limaj, O., Janner, D., Etezadi, D., García de Abajo, F.J., Pruneri, V., Altug, H.: Mid-infrared plasmonic biosensing with graphene. Science 349(6244), 165–168 (2015)
Seyyedmasoumian, S., Attariabad, A., Farmani, A.: FEM analysis of a λ3/125 high sensitivity graphene plasmonic biosensor for low hemoglobin concentration detection”. Appl. Opt. 61(1), 120–125 (2022)
Svezhentsev, A.Y., Dukhopelnykov, S.V., Volski, V., Vandenbosch, G.A.E., Nosich, A.I.: Microsized graphene Helmholtz resonator on circular dielectric rod: a tunable sub-THz frequency-selective scatterer. IEEE Trans. Antennas Propag. 70(3), 2105–2113 (2022)
Ullah, Z., Witjaksono, G., Nawi, I., Tansu, N., Khattak, M.I., Junaid, M.: A review on the development of tunable graphene nanoantennas for terahertz optoelectronic and plasmonic applications. Sensors 20(5), 1401 (2020)
Valencia, C., Riso, M.A., Cuevas, M., Depine, R.A.: Green formulation for studying electromagnetic scattering from graphene-coated wires of arbitrary section. J. Opt. Soc. Am. B 34(6), 1075–1083 (2017)
Velichko, E.A.: Evaluation of a dielectric microtube with a graphene cover as a refractive-index sensor in the THz range. J. Opt. 18(3), 035008 (2016)
Xiao, T.-H., Gan, L., Li, Z.-Y.: Graphene surface plasmon polaritons transport on curved substrates. Photon. Res. 3, 300–307 (2015)
Zangeneh, A.M.R., Farmani, A., Mozaffari, M.H., Mir, A.: Enhanced sensing of terahertz surface plasmon polaritons in graphene/J-aggregate coupler using FDTD method. Diam. Relat. Mater. 125, 109005 (2022)
Zhang, W., Wu, T., Zhang, X.: Tailoring eigenmodes at spectral singularities in graphene-based PT systems. Sci. Rep. 7, 11407 (2017)
Zhao, J., Liu, X., Qiu, W., Ma, Y., Huang, Y., Wang, J.-X., Qiang, K., Pan, J.-Q.: Surface-plasmon-polariton whispering-gallery mode analysis of the graphene monolayer coated InGaAs nanowire cavity. Opt. Express 22(5), 5754–5761 (2014)
Zhu, B., Ren, G., Yang, Y., Gao, Y., Wu, B., Lian, Y., Wang, J.: Field enhancement and gradient force in the graphene-coated nanowire pairs. Plasmonics 10(4), 839–845 (2015)
Acknowledgements
Alexander Nosich and Alexander Svezhentsev are grateful to the Universite de Rennes 1, the Politechnico di Torino, and KU Leuven, respectively, for the hospitality via the programs of solidarity with Ukraine. Also, they both are grateful to the IOP Physics Benevolent Fund for the one-off emergency support.
Funding
This work was supported, in part, by the National Academy of Sciences of Ukraine via project #6541230-0204-2022.
Author information
Authors and Affiliations
Contributions
AYS conceived of the presented idea, developed the numerical algorithm, performed computations, prepared Figures and sections II and III. AIN prepared the abstract, introduction, conclusions, and references and contributed to the article physical interpretation. VV reviewed the obtained results. GAEV updated the whole manuscript. All authors discussed the results and contributed to the final manuscript.
Corresponding author
Ethics declarations
Conflict of interest
The authors have no competing interests.
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Svezhentsev, A.Y., Nosich, A.I., Volski, V. et al. THz range natural modes and scattering resonances of circular dielectric micro-cylinder covered with graphene: the H-polarization case. Opt Quant Electron 55, 253 (2023). https://doi.org/10.1007/s11082-022-04527-5
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11082-022-04527-5