• Gianni Portela
  • Victor Dmitriev
  • Cristiano Oliveira
  • Wagner Castro



filters, graphene, plasmonically induced transparency, temporal coupled-mode theory


In this paper, we consider coupled disk-shaped resonators separated by a thin dielectric substrate that can be used as frequency-tunable filters or as electromagnetic switches in the terahertz frequency band. The two disks are electromagnetically coupled and resonate with dipole plasmonic modes. By using a Temporal Coupled-Mode Theory based approach, we show how to analytically calculate the frequency response of such structures.The analytical results are in good agreement with those obtained from computational simulations based on the finite element method.


[1] M. Tonouchi, “Cutting-edge terahertz technology,” Nature Photonics, vol. 1, no. 2, pp. 97-105, 2007.
[2] W. Min, H. Sun, Q. Zhang, H. Ding, W. Shen, and X. Sun, “A novel dual-band terahertz metamaterial modulator,”
Journal of Optics, vol. 18, no. 6, pp. 065103, 2016.
[3] C. Lee, X. Wei, J.W. Kysar, and J. Hone, “Measurement of the elastic properties and intrinsic strength of monolayer
graphene,” Science, vol. 321, no. 5887, pp. 385-388, 2008.
[4] C. Liu, P. Liu, C. Yang, and L. Bian, “Terahertz metamaterial based on dual-band graphene ring resonator for
modulating and sensing applications,” Journal of Optics, vol. 19, no. 11, pp. 115102, 2017.
[5] H. Cheng, S.Chen, P.Yu, X.Duan, B.Xie, and J.Tian, “Dynamically tunable plasmonically induced transparency in
periodically patterned graphene nanostrips,” Applied Physics Letters, vol. 103, no. 20, pp. 203112, 2013.
[6] V. Dmitriev and C. Nascimento, “Planar THz electromagnetic graphene pass-band filter with low polarization and
angle of incidence dependencies,” Applied Optics, vol. 54, no. 6, pp. 1515-1520, 2015.
[7] B. Zhan, C. Li, J. Yang, G. Jenkins, W. Huang, andX. Dong,“Graphene Field-Effect Transistor and Its Application for
Electronic Sensing,”Small, vol. 10, no. 20, pp. 4042-4065, 2014.
[8] S. Cakmakyapan, P.K. Lu, A. Navabi, and M. Jarrahi, “Gold-patched graphene nano-stripes for high-responsivity and
ultrafast photodetection from the visible to infrared regime,”Light: Science & Applications, vol. 7, no. 1, p. 20,2018.
[9] L. Huang, S. Wu, Y. Wang, X. Ma, H. Deng, S. Wang, Y. Lu, C. Li, and T. Li, “Tunable unidirectional surface
plasmonpolariton launcher utilizing a graphene-based single asymmetric nanoantenna,” Optical Materials
Express, vol.7, no. 2, pp. 569-576, 2017.
[10] H. A. Haus andW. Huang, “Coupled-mode theory,” Proceedings of the IEEE, vol. 79, no. 10, pp. 1505-1518, 1991.
[11] G. W. Hanson, “Dyadic Green’s functions and guided surface waves for a surface conductivity model of
graphene,”Journal of Applied Physics, vol. 103, no. 6, pp. 64302-64309, 2008.
[12] W. Gao, G. Shi, Z. Jin, J. Shu, Q. Zhang, R. Vajtai, P. M. Ajayan, J. Kono, and Q. Xu, “Excitation and active control of
propagating surface plasmon polaritons in graphene,” Nano Letters, vol. 13, no. 8, pp. 3698-3702, 2013.
[13] Q. Li, T. Wang, Y. Su, M. Yan, and M. Qiu, “Coupled mode theory analysis of mode-splitting in coupled cavity
system,”Optics Express, vol. 18, no. 8, pp. 8367-8382, 2010.
[14] A. Akhavan, H. G. Fard, and V. Varmazyari, “Dynamically-Tunable Terahertz Band-Stop Filter Based on Multilayer
Graphene Metamaterial,” International Journal of Optics and Applications, vol. 7, no.1, pp. 7-12, 2017.
[15] T. Kim, W. S. Lee, S. M. Kang, N. C. Park, K. S. Park, and Y. P. Park, “Effects of dielectric substrate properties for
optical phenomena in a nanoscale ridge aperture,” Journal of Optics, vol. 14, no. 4, pp. 045001, 2012.
[16] X. He, Q. Zhang, G. Lu, G. Ying, F. Wu, and J. Jiang, “Tunable ultrasensitive terahertz sensor based on complementary
graphene metamaterials,” Rsc Advances, vol. 6, no. 57, pp. 52212-52218, 2016.
[17] W. Wang, Z. Meng, R. Liang, S. Chen, L. Ding, F. Wang, L. Hongzhan, M. Hongyun, and Z. Wei,“A dynamically
tunable plasmonic multi-functional device based on graphene nano-sheet pair arrays,” Optics Communications, vol.
415,pp. 130-134, 2018.
[18] M. Jablan, H. Buljan, and M. Soljačić, “Plasmonics in graphene at infrared frequencies,”Physical Review B, vol. 80, no.
24, pp. 245435, 2009.




How to Cite

Gianni Portela, Victor Dmitriev, Cristiano Oliveira, & Wagner Castro. (2020). THEORETICAL STUDY OF PLASMONICALLY INDUCED TRANSPARENCY EFFECT IN ARRAYS OF GRAPHENE-BASED DOUBLE DISK RESONATORS. Journal of Microwaves, Optoelectronics and Electromagnetic Applications (JMOe), 18(1), 114–125.



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