The effects of geometrical parameters on resonance frequency of Inverted Split Ring Resonators (ISRRs)

Abstract

In this study, an inverted split ring resonator (ISRR) was designed and the effects of the design geometrical parameters on the resonance frequency presented by using an equivalent circuit approach. The width of the rings, w, the width of ring split, s, and the outer length of the resonator, lres were chosen as geometrical parameters. The determined designs were implemented by making simulations with electromagnetic design software, and the numerically obtained results were compared with theoretically obtained results. A good agreement of simulation and theoretical results was achieved and presented.

Keywords

• Metamaterial
• Split ring resonator
• Equivalent circuit

References

1. [1] Veselago, Victor Georgievich. "The Electrodynamics of Substances with Simultaneously Negative Values of ϵ and μ." , Physics-Uspekhi vol. 10-4, pp.509-514, 1968
2. [2] Zhou, Ji, and Longtu Li. "Metamaterial Technology and Its Application Prospects." Strategic Study of Chinese Academy of Engineering, vol.20-6, pp.69-74, 2019, DOI 10.15302/J-SSCAE-2018.06.011
3. [3] Kurnia, M. F., and R. F. Syahputra. "Expansion of Filter Design from GHz to THz with Metamaterial Hexagonal Split Ring Resonator." Journal of Physics: Conference Series. Vol. 1090. No. 1. IOP Publishing, 2018. DOI:10.1088/1742-6596/1090/1/012035
4. [4] Al-Naib, Ibraheem. Novel Planar Metamaterial Resonators-Design and Study. Cuvillier Verlag, 2010.
5. [5] Chen, Tao, Suyan Li, and Hui Sun. "Metamaterials application in sensing." Sensors, vol.12-3, pp.2742-2765, 2012, DOI:10.3390/s120302742
6. [6] Chen, Fu, Yongzhi Cheng, and Hui Luo. "A broadband tunable terahertz metamaterial absorber based on single-layer complementary gammadion-shaped graphene." Materials , vol.13-4, pp.860, 2020, DOI:10.3390/ma13040860
7. [7] ÇINGI, Ali. "Mikrodalga Uygulamalari İçin Mükemmel Metamalzeme Sinyal Emici Tasarimi." Niğde Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi , vol.7-1, pp.438-442, 2018, DOI: 10.28948/ngumuh.387336
8. [8] Bhoi, B., et al. "Study of photon–magnon coupling in a YIG-film split-ring resonant system." Journal of Applied Physics , vol.116-24, pp.243906, 2014, DOI:10.1063/1.4904857

9. [9] Ekmekci, Evren, et al. "The use of metamaterial type double-sided resonator structures in humidity and concentration sensing applications." Sensors and Actuators A: Physical , vol.297, pp.111559, 2019. DOI:10.1016/j.sna.2019.111559
10. [10] Pendry, John B., et al. "Low frequency plasmons in thin-wire structures." Journal of Physics: Condensed Matter , vol.10-22, pp.4785, 1998.
11. [11] Majid, H. A., and M. K. A. Rahim. "Parametric studies on left-handed metamaterial consist of modified split-ring resonator and capacitance loaded strip." Applied Physics A , vol.103-3, pp.607-610, 2011. DOI 10.1007/s00339-011-6373-5
12. [12] Nornikman, H., et al. "Effect of single complimentary split ring resonator structure on microstrip patch antenna design." 2012 IEEE symposium on wireless technology and applications (iswta). IEEE, pp. 239-244, 2012.
13. [13] Bahl, Inder Jit. Lumped elements for RF and microwave circuits. Artech House, 2003.
14. [14] Wu, Bian, et al. "Study on transmission characteristic of split-ring resonator defected ground structure." PIERS online, vol. 2-6, pp.710-714, 2006. DOI: 10.2529/PIERS060903034927
15. [15] Baena, Juan D., et al. "Artificial magnetic metamaterial design by using spiral resonators." Physical review B , vol.69-1, pp.014402, 2004. DOI: 10.1103/PhysRevB.69.014402
16. [16] Baena, Juan Domingo, et al. "Equivalent-circuit models for split-ring resonators and complementary split-ring resonators coupled to planar transmission lines." IEEE transactions on microwave theory and techniques , vol.53-4, pp.1451-1461, 2005. DOI:10.1109/TMTT.2005.845211
17. [17] Saha, Chinmoy, and Jawad Y. Siddiqui. "Theoretical model for estimation of resonance frequency of rotational circular split-ring resonators." Electromagnetics , vol.32-6, pp.345-355, 2012. DOI.10.1080/02726343.2012.701540
18. [18] Can, Sultan, Asım Egemen Yılmaz, and Emrullah Karakaya. "Conformai dual-band frequency selective surface on Textile: Design, prototyping and expriment." 2017 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium). IEEE, 2017.
19. [19] Bhoi, Biswanath, et al. "Robust magnon-photon coupling in a planar-geometry hybrid of inverted split-ring resonator and YIG film." Scientific reports , vol.7-1, pp.1-12, 2017. DOI:10.1038/s41598-017-12215-8
20. [20] Gay-Balmaz, Philippe, and Olivier JF Martin. "Electromagnetic resonances in individual and coupled split-ring resonators." Journal of applied physics , vol.92-5, pp.2929-2936, 2002. DOI.10.1063/1.1497452
21. [21] Liu, Ruopeng, et al. "Metamaterials: reshape and rethink." Engineering , vol.1-2, pp.179-184, 2015. DOI 10.15302/J-ENG-2015036
22. [22] Pandeeswari, R., and S. Raghavan. "Microstrip antenna with complementary split ring resonator loaded ground plane for gain enhancement." Microwave and Optical Technology Letters , vol.57-2, pp.292-296, 2015. DOI:10.1002/mop.28835
23. [23] Reddy, A. Nutan, and S. Raghavan. "Split ring resonator and its evolved structures over the past decade." 2013 IEEE International Conference ON Emerging Trends in Computing, Communication and Nanotechnology (ICECCN). IEEE, 2013.