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01-02-2025

Numerical modelling of the surface plasmon modes of a circular cylindrical three-layer graphene waveguide

Authors: Ramnarayan, Ravindra Singh, Priyanka Yadav, Mahendra Kumar, Surendra Prasad

Published in: Journal of Computational Electronics | Issue 1/2025

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Abstract

In this paper, the characteristics of the fundamental mode of surface plasmons in a circular cylindrical three-layer graphene waveguide structure are investigated. By using Maxwell equations in the cylindrical coordinate system and applying the boundary conditions, the dispersion relation has been derived for the fundamental mode. In the proposed model, along with the electric field distribution in the waveguide, the effect of different model parameters on the dispersion curve has also been investigated. For instance, the effect of chemical potential, temperature and the separation between the first-second and second-third layers of the graphene has been shown and discussed in detail. Furthermore, the effect of chemical potential, temperature and separation between the first-second and second-third layers of the graphene on the propagation length and phase speed is also discussed.

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Literature
1.
go back to reference Neto, A., Guinea, F., Peres, N., Novoselov, K., Geim, A.: The electronic properties of graphene. Rev. Mod. Phys. 81, 109–162 (2009)CrossRefMATH Neto, A., Guinea, F., Peres, N., Novoselov, K., Geim, A.: The electronic properties of graphene. Rev. Mod. Phys. 81, 109–162 (2009)CrossRefMATH
2.
go back to reference Madani, A., Entezar, S.R.: Surface polaritons of one-dimensional photonic crystals containing graphene monolayers. Superlattices Microstruct. 75, 692–700 (2014)CrossRefMATH Madani, A., Entezar, S.R.: Surface polaritons of one-dimensional photonic crystals containing graphene monolayers. Superlattices Microstruct. 75, 692–700 (2014)CrossRefMATH
3.
go back to reference Low, T., Aviaries, P.: Graphene plasmonics for terahertz to mid-infrared applications. ACS Nano 8(2), 1086–110 (2014)CrossRefMATH Low, T., Aviaries, P.: Graphene plasmonics for terahertz to mid-infrared applications. ACS Nano 8(2), 1086–110 (2014)CrossRefMATH
4.
go back to reference Bonaccorso, F., Ferrari, Z.S.H.A.C.: Graphene photonics and optoelectronics. Nat Photonics 4, 611–622 (2010)CrossRefMATH Bonaccorso, F., Ferrari, Z.S.H.A.C.: Graphene photonics and optoelectronics. Nat Photonics 4, 611–622 (2010)CrossRefMATH
5.
go back to reference Dx, D., Sl, H.: A silicon-based hybrid plasmonic waveguide with a metal cap for nano-scale light confinement. Opt. Express 17(19), 16646–16653 (2009)CrossRefMATH Dx, D., Sl, H.: A silicon-based hybrid plasmonic waveguide with a metal cap for nano-scale light confinement. Opt. Express 17(19), 16646–16653 (2009)CrossRefMATH
6.
go back to reference Bolotin, K., Sikes, K., Jiang, Z., Klima, M., Fudenberg, G., Hone, J., Kim, P., Stormer, H.: Ultrahigh electron mobility in suspended graphene Solid State. Commun. 146(9–10), 351–355 (2008) Bolotin, K., Sikes, K., Jiang, Z., Klima, M., Fudenberg, G., Hone, J., Kim, P., Stormer, H.: Ultrahigh electron mobility in suspended graphene Solid State. Commun. 146(9–10), 351–355 (2008)
7.
go back to reference Saeed, M., Alkanhal, M.A.S., Ghaffar, A., Alqahtani, A.H., Khan, Y.: Energy plasmon modes in metamaterial-filled double-layer graphene-wrapped cylindrical waveguides. Plasmonics 16, 695–709 (2021)CrossRefMATH Saeed, M., Alkanhal, M.A.S., Ghaffar, A., Alqahtani, A.H., Khan, Y.: Energy plasmon modes in metamaterial-filled double-layer graphene-wrapped cylindrical waveguides. Plasmonics 16, 695–709 (2021)CrossRefMATH
8.
go back to reference Zhao, T., Gong, S., Hu, M., Zhong, R., Liu, D., Chen, X., Zhang, P., Wang, X., Zhang, C., Wu, P., Liu, S.: Coherent and tunable terahertz radiation from graphene surface plasmon polaritons excited by cyclotron electron beam. Sci. Rep. 5, 16059 (2015)CrossRef Zhao, T., Gong, S., Hu, M., Zhong, R., Liu, D., Chen, X., Zhang, P., Wang, X., Zhang, C., Wu, P., Liu, S.: Coherent and tunable terahertz radiation from graphene surface plasmon polaritons excited by cyclotron electron beam. Sci. Rep. 5, 16059 (2015)CrossRef
9.
go back to reference Namdar, A., Onsoroudi, R.F., khoshsima, H., Sahara, M.: Terahertz surface plasmon-polaritons in one-dimensional graphene based Fibonacci photonic superlattices. Micro Nano 115, 78–87 (2018)MATH Namdar, A., Onsoroudi, R.F., khoshsima, H., Sahara, M.: Terahertz surface plasmon-polaritons in one-dimensional graphene based Fibonacci photonic superlattices. Micro Nano 115, 78–87 (2018)MATH
10.
go back to reference Jablan, M., Buljan, H., Soljacic, M.: Plasmonics in graphene at infrared frequencies. Phys Rev B. 80, 245435 (2009)CrossRefMATH Jablan, M., Buljan, H., Soljacic, M.: Plasmonics in graphene at infrared frequencies. Phys Rev B. 80, 245435 (2009)CrossRefMATH
11.
go back to reference Zhao, T., Hu, M., Zhong, R., Chen, X., Zhang, P., Gong, S., Zhang, C., Lio, S.: Plasmon modes of circular cylindrical double-layer graphene. Opt. Express 24(18), 20461–20471 (2016)CrossRefMATH Zhao, T., Hu, M., Zhong, R., Chen, X., Zhang, P., Gong, S., Zhang, C., Lio, S.: Plasmon modes of circular cylindrical double-layer graphene. Opt. Express 24(18), 20461–20471 (2016)CrossRefMATH
12.
go back to reference Nguyen, B.H., Nguyen, V.H.: Dispersion and attenuation of surface plasmon polariton at the metal-dielectric interface. Adv. Nat. Sci. Nanosci. Nanotechnol 5(3), 2043–6262 (2014)CrossRefMATH Nguyen, B.H., Nguyen, V.H.: Dispersion and attenuation of surface plasmon polariton at the metal-dielectric interface. Adv. Nat. Sci. Nanosci. Nanotechnol 5(3), 2043–6262 (2014)CrossRefMATH
13.
go back to reference Shi, Z., Piredda, G., Liapis, A.C., Nelson, M.A., Novotny, L., Boyd, R.W.: Surface-plasmon polaritons on metal-dielectric nanocomposite films. Opt. Lett. 34(22), 3535–3537 (2009)CrossRef Shi, Z., Piredda, G., Liapis, A.C., Nelson, M.A., Novotny, L., Boyd, R.W.: Surface-plasmon polaritons on metal-dielectric nanocomposite films. Opt. Lett. 34(22), 3535–3537 (2009)CrossRef
14.
go back to reference Baron, A., Larouche, S., Gauthier, D.J., Smith, D.R.: Scaling of the nonlinear response of the surface plasmon polariton at a metal/dielectric interface. J. Opt. Soc. Am. B 32(1), 9–14 (2015)CrossRefMATH Baron, A., Larouche, S., Gauthier, D.J., Smith, D.R.: Scaling of the nonlinear response of the surface plasmon polariton at a metal/dielectric interface. J. Opt. Soc. Am. B 32(1), 9–14 (2015)CrossRefMATH
15.
go back to reference Mason, D.R., Menabde, S.G., Yu, S., Park, N.: Plasmonic excitations of 1D metal-dielectric interfaces in 2D systems: 1D surface plasmon polaritons. Sci. Rep. 4, 4536 (2014)CrossRefMATH Mason, D.R., Menabde, S.G., Yu, S., Park, N.: Plasmonic excitations of 1D metal-dielectric interfaces in 2D systems: 1D surface plasmon polaritons. Sci. Rep. 4, 4536 (2014)CrossRefMATH
16.
go back to reference Kostiuenko, O., Fiutowski, J., Kawalec, T., Bordo, V., Rubahn, H.G., Jozefowski, L.: Surface plasmon polariton dispersion relation at organic/dielectric/metal interfaces. Optic Commun. 331, 77–81 (2014)CrossRef Kostiuenko, O., Fiutowski, J., Kawalec, T., Bordo, V., Rubahn, H.G., Jozefowski, L.: Surface plasmon polariton dispersion relation at organic/dielectric/metal interfaces. Optic Commun. 331, 77–81 (2014)CrossRef
17.
go back to reference Maier, SA.: Plasmonics: Fundamentals and Applications. Springer, 3–220 (2007) Maier, SA.: Plasmonics: Fundamentals and Applications. Springer, 3–220 (2007)
18.
go back to reference Mikhailov, S.A., Ziegler, K.: New electromagnetic mode in graphene. Phys. Rev. Lett. 99, 016803 (2007)CrossRefMATH Mikhailov, S.A., Ziegler, K.: New electromagnetic mode in graphene. Phys. Rev. Lett. 99, 016803 (2007)CrossRefMATH
19.
go back to reference Averkov, Y.O., Yakovenko, V.M., Yampol, V.A., Nori, F.: Terahertz transverse-electric- and transverse-magnetic-polarized waves localized on graphene in photonic crystals. Phys. Rev. B 90, 045415–045417 (2014)CrossRef Averkov, Y.O., Yakovenko, V.M., Yampol, V.A., Nori, F.: Terahertz transverse-electric- and transverse-magnetic-polarized waves localized on graphene in photonic crystals. Phys. Rev. B 90, 045415–045417 (2014)CrossRef
20.
21.
go back to reference Luo, X., Qiu, T., Lu, W., Ni, Z.: Plasmons in graphene: recent progress and applications. Mater. Sci. Eng. R. Rep. 74(11), 351–376 (2013)CrossRefMATH Luo, X., Qiu, T., Lu, W., Ni, Z.: Plasmons in graphene: recent progress and applications. Mater. Sci. Eng. R. Rep. 74(11), 351–376 (2013)CrossRefMATH
22.
go back to reference Koppens, F.H.L., Chang, D.E., Abajo, F.J.G.D.: Graphene plasmonics: a platform for strong light-matter interactions. Nano Lett. 11(8), 3370–3377 (2011)CrossRefMATH Koppens, F.H.L., Chang, D.E., Abajo, F.J.G.D.: Graphene plasmonics: a platform for strong light-matter interactions. Nano Lett. 11(8), 3370–3377 (2011)CrossRefMATH
23.
go back to reference Chen, J., Badioli, M., Gonzalez, P.A., Thongrattanasiri, S., Huth, F., Osmond, J., Spasenovic, M., Centeno, A., Pesquera, A., Godignon, P., Elorza, A.Z., Camara, N., Abajo, F.J.G.D., Hillenbrand, R., Koppens, F.H.L.: Optical nano-imaging of gate-tunable graphene plasmons. Nature 487(7405), 77–81 (2012)CrossRef Chen, J., Badioli, M., Gonzalez, P.A., Thongrattanasiri, S., Huth, F., Osmond, J., Spasenovic, M., Centeno, A., Pesquera, A., Godignon, P., Elorza, A.Z., Camara, N., Abajo, F.J.G.D., Hillenbrand, R., Koppens, F.H.L.: Optical nano-imaging of gate-tunable graphene plasmons. Nature 487(7405), 77–81 (2012)CrossRef
24.
go back to reference Svintsov, D., Vyurkov, V., Ryzhii, V., Otsuji, T.: Voltage-controlled surface plasmon-polaritons in double graphene layer structures. J. Appl. Phys. 113(5), 053701–053705 (2013)CrossRef Svintsov, D., Vyurkov, V., Ryzhii, V., Otsuji, T.: Voltage-controlled surface plasmon-polaritons in double graphene layer structures. J. Appl. Phys. 113(5), 053701–053705 (2013)CrossRef
25.
go back to reference Yao, Z., Huang, Y., Wang, Q., Hu, F., Quan, B., Li, J., Gu, C., Xu, X.: Tunable surface-plasmon-polariton-like modes based on graphene metamaterials in terahertz region. Compute. Mater. Sci. 117, 544–548 (2016)CrossRef Yao, Z., Huang, Y., Wang, Q., Hu, F., Quan, B., Li, J., Gu, C., Xu, X.: Tunable surface-plasmon-polariton-like modes based on graphene metamaterials in terahertz region. Compute. Mater. Sci. 117, 544–548 (2016)CrossRef
26.
go back to reference 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 In GaAs nanowire cavity. Opt. Express 22(5), 5754–5761 (2014)CrossRef 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 In GaAs nanowire cavity. Opt. Express 22(5), 5754–5761 (2014)CrossRef
27.
go back to reference Gao, Y., Ren, G., Zhu, B., Liu, H., Lian, Y., Jian, S.: Analytical model for plasmon modes in the graphene-coated nanowire. Opt. Express 22(20), 24322–24331 (2014)CrossRefMATH Gao, Y., Ren, G., Zhu, B., Liu, H., Lian, Y., Jian, S.: Analytical model for plasmon modes in the graphene-coated nanowire. Opt. Express 22(20), 24322–24331 (2014)CrossRefMATH
28.
go back to reference Yang, J., Yang, J., Deng, W., Mao, F., Huang, M.: Transmission properties and molecular sensing application of CGPW. Opt. Express 23(25), 32289–32299 (2015)CrossRefMATH Yang, J., Yang, J., Deng, W., Mao, F., Huang, M.: Transmission properties and molecular sensing application of CGPW. Opt. Express 23(25), 32289–32299 (2015)CrossRefMATH
29.
go back to reference Li, W., Chen, B., Meng, C., Fang, W., Xiao, Y., Li, X., Hu, Z., Xu, Y., Tong, L., Wang, H., Liu, W., Bao, J., Shen, Y.R.: Ultrafast all-optical graphene modulator. Nano Lett. 14(2), 955–959 (2014)CrossRef Li, W., Chen, B., Meng, C., Fang, W., Xiao, Y., Li, X., Hu, Z., Xu, Y., Tong, L., Wang, H., Liu, W., Bao, J., Shen, Y.R.: Ultrafast all-optical graphene modulator. Nano Lett. 14(2), 955–959 (2014)CrossRef
30.
go back to reference Yan, H., Li, X., Chandra, B., Tulevski, G., Wu, Y., Freitag, M., Zhu, W., Avouris, P., Xia, F.: Tunable infrared plasmonic devices using graphene/insulator stacks. Nat. Nanotechnol. 7(5), 330–334 (2012)CrossRef Yan, H., Li, X., Chandra, B., Tulevski, G., Wu, Y., Freitag, M., Zhu, W., Avouris, P., Xia, F.: Tunable infrared plasmonic devices using graphene/insulator stacks. Nat. Nanotechnol. 7(5), 330–334 (2012)CrossRef
31.
go back to reference Liu, J.P., Zhai, X., Wang, L.L., Li, H.J., Xie, F., Lin, Q., Xia, S.X.: Analysis of mid-infrared surface Plasmon modes in a graphene-based cylindrical hybrid waveguide. Plasmonics 11, 703–711 (2016)CrossRef Liu, J.P., Zhai, X., Wang, L.L., Li, H.J., Xie, F., Lin, Q., Xia, S.X.: Analysis of mid-infrared surface Plasmon modes in a graphene-based cylindrical hybrid waveguide. Plasmonics 11, 703–711 (2016)CrossRef
32.
go back to reference Ma, R., Bashaiaha, E., Yallaa RR.:Fabrication and characterization of optical nanofiber tips. Physics. Optics, 1–13 (2024) Ma, R., Bashaiaha, E., Yallaa RR.:Fabrication and characterization of optical nanofiber tips. Physics. Optics, 1–13 (2024)
33.
go back to reference Kumar, M., Prasad, S.: Mid-infrared sensor based on resonance excitation of graphene plasmon polariton-coupled Bloch surface modes at the interface of anisotropically truncated one-dimensional ternary photonic crystal. Waves in Random and Complex Media, 1–16 (2021) Kumar, M., Prasad, S.: Mid-infrared sensor based on resonance excitation of graphene plasmon polariton-coupled Bloch surface modes at the interface of anisotropically truncated one-dimensional ternary photonic crystal. Waves in Random and Complex Media, 1–16 (2021)
34.
go back to reference Hwang, E.H., Das Sarma, S.: Dielectric function, screening and plasmons in two-dimensional graphene. Phys. Rev. B 75(20), 205418 (2007)CrossRefMATH Hwang, E.H., Das Sarma, S.: Dielectric function, screening and plasmons in two-dimensional graphene. Phys. Rev. B 75(20), 205418 (2007)CrossRefMATH
35.
go back to reference Gusynin, V.P., Sharapov, S.G., Carbotte, J.P.: Magneto-optical conductivity in graphene. J. Phys. Condens. Matter 19(2), 026222 (2007)CrossRefMATH Gusynin, V.P., Sharapov, S.G., Carbotte, J.P.: Magneto-optical conductivity in graphene. J. Phys. Condens. Matter 19(2), 026222 (2007)CrossRefMATH
Metadata
Title
Numerical modelling of the surface plasmon modes of a circular cylindrical three-layer graphene waveguide
Authors
Ramnarayan
Ravindra Singh
Priyanka Yadav
Mahendra Kumar
Surendra Prasad
Publication date
01-02-2025
Publisher
Springer US
Published in
Journal of Computational Electronics / Issue 1/2025
Print ISSN: 1569-8025
Electronic ISSN: 1572-8137
DOI
https://doi.org/10.1007/s10825-024-02250-w