A Plasmonic Optical Waveguide Based on the SPP of GNR Coupled with GQD Scattering Effect for Biosensor Applications
- Department of Electrical Engineering Aza. C., Azarshahr Branch, Islamic Azad University, Azarshahr, Iran
- Department of Electrical Engineering, Ta,C., Tabriz Branch, Islamic Azad University, Tabriz, Iran
- Department of Electronics, Ta.C., Islamic Azad University, Tabriz, Iran
Received: 0205-09-21
Revised: 2025-10-12
Accepted: 2025-10-21
Published in Issue 2025-12-31
Copyright (c) 2025 Mahmoud Baghbanzadeh, Hassan Rasooli Saghai, Hamed Alipour-Banaei, Shahram Mojtahedzadeh, Mohammad Ali Tavakkoli Ghazi Jahani (Author)

This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
PDF views: 29
Abstract
In this study, we introduce a graphene-based plasmonic waveguide that consists of three layers including a nonlinear graphene nanoribbon (GNR), a stack of 6 layers of dielectric-like graphene and a Si layer. We compute the permittivity of the plasmonic GNR based on Kubo formalism considering the third-order nonlinear response of graphene medium. The thickness, width and Fermi level of GNR are considered to be 0.34 nm, 50 nm and 2.4 eV respectively. Excitation of surface plasmon resonance (SPR) in combination with Kerr effect establish a broad resonance mode that modify the reflectance characteristic at the wavelength range of 1400 ~1500 nm. Then we embed an array of graphene quantum dots (GQDs) with the diameter of 66 nm between GNRs. The permittivity of GQD is computed through Cole-cole model. The scattering effect of GQDs supports the establishment of narrow resonance mode. Coupling between the broad and narrow resonances results in Fano resonance at the reflectance characteristic. The characteristics of Fano resonance are highly sensitive to any change in refractive index of surrounding medium. These findings prove that the GQD/PNGN/MDG structure can be applied to detection of RI-induced characteristics as a biosensor. So we design a biosensor based on our waveguide where a 10 nm air gap is abandoned between two parts of biosensor. Replacing of the air gap with biomaterial medium having a RI of n=1.35 results in the amplitude change of Fano resonance. This finding proves the designed biosensor ability in detect of neurodegenerative disorders.
Keywords
- Biosensor,
- Kerr nonlinearity,
- Scattering effect,
- Surface plasmon polariton,
- Waveguide ©
References
- Haji Najafi, M.J., Ahmadi, V., Hamidi, S.M., Design and Analysis of Graphene Based SPR Biosensor Using Ellipsometry Method. in Iranian nano photonic conference. 2020: Sistan University, Iran.
- Mehrpanah, A., et al., (2024). Absorption Enhancement of Thin Film Solar Cell Utilizing a Graphene-Based Metasurface. Journal of Optoelectronical Nanostructures, 9(4). doi.org/10.71577/jopn.2024.1182795
- Mehrpanah, A., et al., (2024). Design of Graphene-Based Core/Shell Nanoparticles to Enhance the Absorption of Thin Film Solar Cells. Plasmonics, doi.org/10.1007/s11468-024-02476-1
- Kim, J.T., & Choi, S.-Y. (2011). Graphene-based plasmonic waveguides for photonic integrated circuits. Optics Express, 19(24), 24557-24562.doi.org/10.1364/OE.19.024557
- Schröder, B. (2020). Probing Light-Matter Interactions in Plasmonic Nanotips. Dissertation, Göttingen, Georg-August Universität, 2020.
- Sharma, T., et al., (2024). Past, present, and future of hybrid plasmonic waveguides for photonics integrated circuits. Nanotechnology and Precision Engineering, 7(4). doi.org/10.1063/10.0028127
- Selvaraja, S.K. & Sethi, P. (2018). Review on optical waveguides. Emerging Waveguide Technology, 95, 458. doi.org/10.5772/intechopen.77150
- Sharifi, M., Tajalli, H., & Pourasl, M. (2024). Design of Metal-Insulate-Metal Plasmonic Waveguide Biosensor for Disease Diagnosis. International Journal of Biophotonics and Biomedical Engineering (IJBBE), 4(2), 23-30. https://doi.org/10.71498/ijbbe.2024.1191244
- Zhu, J. & Wu, C. (2021). Optical refractive index sensor with Fano resonance based on original MIM waveguide structure. Results in Physics, 21, 103858. https://doi.org/10.1016/j.rinp.2021.103858
- Kavungal, D., et al., (2023). Artificial intelligence–coupled plasmonic infrared sensor for detection of structural protein biomarkers in neurodegenerative diseases. Science Advances, 9(28), eadg9644. https://doi.org/10.1126/sciadv.adg9644
- Li, Z., Zhang, W., & Xing, F. (2019). Graphene optical biosensors. International journal of molecular sciences, 20(10), 2461. https://doi.org/10.3390/ijms20102461
- Li, J., et al., (2016). All-optical controlling based on nonlinear graphene plasmonic waveguides. Optics express, 24(19), 22169-22176. https://doi.org/10.1364/OE.24.022169
- Sarkhoush, M., Rasooli Saghai, H., & Soofi, H. (2022). Design and simulation of type-I graphene/Si quantum dot superlattice for intermediate-band solar cell applications. Frontiers of Optoelectronics, 15(1), 42. https://doi.org/10.1007/s12200-022-00043-2
- Song, B., et al., (2010). Graphene on Au (111): a highly conductive material with excellent adsorption properties for high‐resolution bio/nanodetection and identification. ChemPhysChem, 11(3), 585-589. https://doi.org/10.1002/cphc.200900743
- Wu, L., et al., (2010). Highly sensitive graphene biosensors based on surface plasmon resonance. Optics express, 18(14), 14395-14400. https://doi.org/10.1364/OE.18.014395
- Salihoglu, O., Balci, S., & Kocabas, C. (2012). Plasmon-polaritons on graphene-metal surface and their use in biosensors. Applied Physics Letters, 100(21). doi: 10.1063/1.4721453
- Ruan, B., et al., (2017). Ultrasensitive terahertz biosensors based on Fano resonance of a graphene/waveguide hybrid structure. Sensors, 17(8), 1924. doi: 10.3390/s17081924.
- Salehnezhad, Z., Soroosh, M., & Farmani, A. (2023). Design and numerical simulation of a sensitive plasmonic-based nanosensor utilizing MoS2 monolayer and graphene. Diamond and Related Materials, 131, 109594. doi.org/10.1016/j.diamond.2022.109594
- Dai, X., Ruan, B., & Xiang, Y. (2021). Self-referenced refractive index biosensing with graphene Fano resonance modes. Biosensors, 11(10), 400. https://doi.org/10.3390/bios11100400.
- Li, Y., et al., (2022). Graphene metasurfaces for terahertz wavefront shaping and light emission. Optical Materials Express, 12(12), 4528-4546. https://doi.org/10.1364/OME.473110.
- Mehrpanah, A., et al., (2024). Absorption Enhancement of Thin Film Solar Cell Utilizing a Graphene-Based Metasurface. Journal of Optoelectronical Nanostructures, 35(4), https://doi.org/10.71577/jopn.2024.1182795.
- Jiang, X., Yuan, H., & Sun, X. (2016). Nonlinear plasmonic dispersion and coupling analysis in the symmetric graphene sheets waveguide. Scientific Reports, 6(1), 39309. https://doi.org/10.1038/srep39309.
- He, X.Y. & Li, R. (2013). Comparison of graphene-based transverse magnetic and electric surface plasmon modes. IEEE Journal of Selected Topics in Quantum Electronics, 20(1), 62-67. https://doi.org/10.1109/JSTQE.2013.2257991.
- Kauranen, M. & Zayats, A.V. (2012). Nonlinear plasmonics. Nature photonics, 6(11), 737-748. https://doi.org/10.1038/nphoton.2012.244.
- Newell, A. Nonlinear optics. (2018). CRC Press. https://doi.org/10.1201/9780429502842
- Shi, Z., et al., (2016). Broadband tunability of surface plasmon resonance in graphene-coating silica nanoparticles. Chinese Physics B, doi.org/10.1088/1674-1056/25/5/057803.
- Kanani, H., et al., (2024). Design of Graphene-Coated Silver Nanoparticle Based on Numerical Solution to Enhance the Absorption of the Thin-Film Solar Cell. Plasmonics, 1-9. doi.org/10.1007/s11468-024-02231-6.
- Zhang, Y., et al., (2023). Plasmonic characteristics of the graphene-photonic crystal composite structure in the IR regime. Plasmonics, 18(1), 125-135. https://doi.org/10.21203/rs.3.rs-1664963/v1.
- Liu, J.-X., et al., (2020). A research of Drude-two-critical points model of graphene near the optical frequency. Superlattices and Microstructures, 148, 106692. https://doi.org/10.1016/j.spmi.2020.106692.
- Figueiredo, J.L., Bizarro, J.P., & Terças, H. (2022). Weyl–Wigner description of massless Dirac plasmas: ab initio quantum plasmonics for monolayer graphene. New Journal of Physics, 24(2), 023026. https://doi.org/10.1088/1367-2630/ac5132.
- Liu, Y.-Q., Li, L. & Yin, H.( 2018). Studies on Surface Plasmon Dispersion Theory on the Bilayer Graphene Ribbon Arrays Metasurface. in IEEE International Conference on Computational Electromagnetics (ICCEM). IEEE. doi.org/10.1109/COMPEM.2018.8496505.
- Slizovskiy, S., et al., (2021). Out-of-plane dielectric susceptibility of graphene in twistronic and bernal bilayers. Nano Letters, 21(15), 6678-6683. https://doi.org/10.1021/acs.nanolett.1c02211.
- Raad, S.H. & Atlasbaf, Z. (2021). Solar cell design using graphene-based hollow nano-pillars. Scientific Reports, 11(1), 16169. https://doi.org/10.1038/s41598-021-95684-2
- Sarkhoush, M., Rasooli Saghai, H., & Soofi, H. (2023). Type-I graphene/Si quantum dot superlattice for intermediate band applications. Journal of Solar Energy Research, 8(1), 1317-1325. doi.org/10.22059/jser.2022.349258.1257
- Chorsi, H.T. & Gedney, S.D. (2016). Tunable plasmonic optoelectronic devices based on graphene metasurfaces. IEEE Photonics Technology Letters, 29(2), 228-230. https://doi.org/10.1109/LPT.2016.2636813
- Dave, V., et al., (2018). Graphene based tunable broadband far-infrared absorber. Superlattices and Microstructures, 124, 113-120. doi.org/10.106/j.spmi.2018.10.013
- Sikdar, D. & Premaratne, M. (2014) Electrically tunable directional spp propagation in gold-nanoparticle-assisted graphene nanoribbons. in IEEE Photonics Conference. https://doi.org/10.1109/IPCon.2014.6995378
- Wang, D., et al. (2015). Plasmon resonance in single-and double-layer CVD graphene nanoribbons. in Conference on Lasers and Electro-Optics (CLEO). IEEE. https://doi.org/10.1364/CLEO_QELS.2015.FTu1E.3
- Cao, S., et al., (2018). Graphene–silver hybrid metamaterial for tunable and high absorption at mid-infrared waveband. IEEE Photonics Technology Letters, 30(5), 475-478. https://doi.org/10.1109/LPT.2018.2800729
- Tripathi, H.S., et al. (2019). Insulator to semiconductor transition in graphene quantum dots. in AIP Conference Proceedings. AIP Publishing. https://doi.org/10.48550/arXiv.1905.04047
- Hossain, M.J., Faruque, M.R.I., & Islam, M.T. (2019). Perfect metamaterial absorber with high fractional bandwidth for solar energy harvesting (vol 13, e0207314, 2018). PLOS ONE, 14(1). https://doi.org/10.1371/journal.pone.0207314
- Tharwat, M.M., Almalki, A., & Mahros, A.M. (2021). Plasmon-enhanced sunlight harvesting in thin-film solar cell by randomly distributed nanoparticle array. Materials, 14(6), 1380. https://doi.org/10.3390/ma14061380
- Heidarzadeh, H., Jangjoy, A., & Bahador, H. (2022). Use of coupled Al-Ag bimetallic cylindrical nanoparticles to improve the photocurrent of a thin-film silicon solar cell. Plasmonics, 17(3), 1323-1329. https://doi.org/10.1007/s11468-022-01630-x
- Arefinia, Z., & Asgari, A. (2017). Optimization study of a novel few-layer graphene/silicon quantum dots/silicon heterojunction solar cell through opto-electrical modeling. IEEE Journal of Quantum Electronics, 54(1), 1-6. https://doi.org/10.1109/JQE.2017.2774144
- Sekhwama, M., et al. (2024). Enhancing limit of detection in surface plasmon resonance biosensors: A sensitivity analysis for optimal performance. in Optical Interactions with Tissue and Cells XXXV. SPIE. https://doi.org/10.1117/12.3002449
- Meng, Q.-Q., et al. (2017). Figure of merit enhancement of a surface plasmon resonance sensor using a low-refractive-index porous silica film. Sensors, 17(8), 1846. https://doi.org/10.3390/s17081846
- Li, S., et al. ( 2016). Tunable triple Fano resonances based on multimode interference in coupled plasmonic resonator system. Optics Express, 24(14), 15351-15361. https://doi.org/10.1364/OE.24.015351
10.57647/ijbbe.2025.0502.10