Abstract
The numerical study of surface plasmon polaritons in a chiroplasma–graphene planar structure is presented. The Kobo formulism is utilized for modeling of graphene’s conductivity, and certain type of boundary conditions is employed to obtain the dispersion relation for the proposed waveguide structure. The electromagnetic wave theory is used to solve the numerical problem. The effective mode index is studied for the different values of chiroplasma features (i.e., plasma frequency, cyclotron frequency, and chirality are studied in a certain frequency region). It is concluded that chirality has strong influence on attenuation phase constant against incident wave frequency. Furthermore, the normalized field distributions of the graphene medium are also presented for the proposed waveguide. Graphene layer offers additional degree of freedom as compared to conventional plasmonic materials to fabricate the compact nanophotonic circuits.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11468-023-01824-x/MediaObjects/11468_2023_1824_Fig1_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11468-023-01824-x/MediaObjects/11468_2023_1824_Fig2_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11468-023-01824-x/MediaObjects/11468_2023_1824_Fig3_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11468-023-01824-x/MediaObjects/11468_2023_1824_Fig4_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11468-023-01824-x/MediaObjects/11468_2023_1824_Fig5_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11468-023-01824-x/MediaObjects/11468_2023_1824_Fig6_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11468-023-01824-x/MediaObjects/11468_2023_1824_Fig7_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11468-023-01824-x/MediaObjects/11468_2023_1824_Fig8_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs11468-023-01824-x/MediaObjects/11468_2023_1824_Fig9_HTML.png)
Similar content being viewed by others
Availability of Data and Materials
Detail about data has been provided in the article.
Change history
15 January 2024
A Correction to this paper has been published: https://doi.org/10.1007/s11468-023-02180-6
References
Bian Y et al (2018) Deep-subwavelength light transmission in hybrid nanowire-loaded silicon nano-rib waveguides. Photonics Research 6(1):37–45
Azam M et al (2021) Dispersion characteristics of surface plasmon polaritons (SPPs) in graphene–chiral–graphene waveguide. Waves in Random and Complex Media 1–12
Luo S et al (2015) Graphene-based optical modulators Nanoscale research letters 10:1–11
Yaqoob M et al (2018) Hybrid surface plasmon polariton wave generation and modulation by chiral-graphene-metal (CGM) structure. Sci Rep 8(1):1–9
Yaqoob MZ et al (2019) Characteristics of light–plasmon coupling on chiral–graphene interface. JOSA B 36(1):90–95
Abbas A, Linman MJ, Cheng Q (2011) Sensitivity comparison of surface plasmon resonance and plasmon-waveguide resonance biosensors. Sens Actuators B Chem 156(1):169–175
Dostálek J, Kasry A, Knoll W (2007) Long range surface plasmons for observation of biomolecular binding events at metallic surfaces. Plasmonics 2:97–106
Ong BH et al (2006) Optimised film thickness for maximum evanescent field enhancement of a bimetallic film surface plasmon resonance biosensor. Sens Actuators B Chem 114(2):1028–1034
Qiu P et al (2017) Dynamically tunable plasmon-induced transparency in on-chip graphene-based asymmetrical nanocavity-coupled waveguide system. Nanoscale Res Lett 12:1–8
Weber M, Maradudin A (2019) A thin phase screen model for surface plasmon polaritons. Plasmonics 14(5):1071–1079
Williams CR et al (2008) Highly confined guiding of terahertz surface plasmon polaritons on structured metal surfaces. Nat Photonics 2(3):175–179
Albert J, Shao LY, Caucheteur C (2013) Tilted fiber Bragg grating sensors. Laser Photonics Rev 7(1):83–108
Zhao T et al (2016) Plasmon modes of circular cylindrical double-layer graphene. Opt Express 24(18):20461–20471
Gric T (2016) Surface-plasmon-polaritons at the interface of nanostructured metamaterials. Prog Electromag Res M 46:165–172
Gric T (2019) Tunable terahertz structure based on graphene hyperbolic metamaterials. Opt Quant Electron 51(6):202
Gric T (2019) Surface plasmons at the interface of metamaterial and topological insulator. Opt Quant Electron 51(7):232
Gric T, Hess O (2018) Investigation of hyperbolic metamaterials. Appl Sci 8(8):1222
Gric T, Rafailov E (2022) Propagation of surface plasmon polaritons at the interface of metal-free metamaterial with anisotropic semiconductor inclusions. Optik 254:168678
Hanson GW (2008) Quasi-transverse electromagnetic modes supported by a graphene parallel-plate waveguide. J Appl Phys 104(8):084314
Mi G, Van V (2014) Characteristics of surface plasmon polaritons at a chiral–metal interface. Opt Lett 39(7):2028–2031
Toqeer I et al (2019) Characteristics of dispersion modes supported by Graphene Chiral Graphene waveguide. Optik 186:28–33
Trofimov A, Gric T (2018) Surface plasmon polaritons in hyperbolic nanostructured metamaterials. J Electromagn Waves Appl 32(14):1857–1867
Umair M et al (2020) Characteristics of surface plasmon polaritons in magnetized plasma film walled by two graphene layers. J Nanoelectron Optoelectron 15(5):574–579
Umair M et al (2021) Dispersion characteristics of hybrid surface waves at chiral-plasma interface. J Electromagn Waves Appl 35(2):150–162
Yaqoob M et al (2019) Analysis of hybrid surface wave propagation supported by chiral metamaterial–graphene–metamaterial structures. Results in Physics 14:102378
Gric T (2016) Analysis of spoof surface plasmons in spoof-insulator-spoof waveguides. J Electromagn Waves Appl 30(15):1974–1979
Gric T, Hess O (2017) Surface plasmon polaritons at the interface of two nanowire metamaterials. J Opt 19(8):085101
Alkanhal MA, Ghaffar A (2015) Characteristics of guided modes in chiroplasma circular waveguides in magnetized plasma. JOSA A 32(12):2316–2322
Ghaffar A, Alkanhal MA (2015) Guided modes in chiroplasma circular waveguides with DB boundaries. J Optoelectron Adv Mater 17(9–10):1385–1390
Gong J (1999) Electromagnetic wave propagation in a chiroplasma-filled waveguide. J Plasma Phys 62(1):87–94
Efetov DK, Kim P (2010) Controlling electron-phonon interactions in graphene at ultrahigh carrier densities. Phys Rev Lett 105(25):256805
Yaqoob M et al (2018) Hybrid surface plasmon polariton wave generation and modulation by chiral-graphene-metal (CGM) structure. Sci Rep 8(1):18029
Acknowledgements
The authors would like to thanks Deanship for Research and Innovation, “Ministry of Education” in Saudi Arabia through the Research Group Project number (IFKSURG-2–676).
Funding
This work was supported by the Deputyship for Research and Innovation, “Ministry of Education” in Saudi Arabia through the Research Group Project number (IFKSURG-2–676).
Author information
Authors and Affiliations
Contributions
M. Umair and Majeed Alkanhal wrote main manuscript and derived analytical expressions. A. Ghaffar edited the manuscript and reviewed the numerical analysis. Y. Khan and Ali. H. Alqahtani developed methodology in the given study. Author M. Umair was also encouraged and completely supervised during preparation of the manuscript by A. Ghaffar. All authors reviewed the manuscript before submission.
Corresponding author
Ethics declarations
Ethical Approval
Not applicable.
Competing Interests
The authors declare no competing interests.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
The original online version of this article was revised: The Acknowledgment statement should be corrected with the following. "The authors would like to thanks Deanship for Research and Innovation, “Ministry of Education” in Saudi Arabia through the Research Group Project number (IFKSURG-2–676)."
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
Umair, M., Ghaffar, A., Alkanhal, M.A.S. et al. Light Plasmon Coupling in Planar Chiroplasma–Graphene Waveguides. Plasmonics 18, 1029–1035 (2023). https://doi.org/10.1007/s11468-023-01824-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11468-023-01824-x