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Electrical equivalent model of meta-materials based on circular SRR

Published online by Cambridge University Press:  20 April 2015

Mondher Labidi  and
Fethi Choubani
Mondher Labidi*
Affiliation:
Innov'com Research Laboratory, Higher School of Communications of Tunisia, Sup'Com, University of Carthage, Carthage, Tunisia
Fethi Choubani
Affiliation:
Innov'com Research Laboratory, Higher School of Communications of Tunisia, Sup'Com, University of Carthage, Carthage, Tunisia
*
Corresponding author: M. Labidi Email: mondher.labidi@supcom.rnu.tn
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Abstract

This work focuses on the circuit modeling and full-wave analysis behavior of circular split ring resonator (SRR). We investigate an equivalent circuit model that allows calculating the resonant frequency from the geometric parameters. Equivalent LC parameters of inductance and capacitance are derived using conformal mapping and constitutive equations. Lumped element equivalent circuit models of resonator are investigated highlighting the behavior of inductance and capacitance. In order to validate our proposed analytical LC model, a comparison of theoretical and simulation results has been performed and a good agreement is achieved with a maximum error of 4.23% and a minimum error of 0.52%, which supports the validity of the equivalent model.

Keywords

Meta-materials and photonic bandgap structuresMicrowave measurements
Type
Research Papers
Information
International Journal of Microwave and Wireless Technologies , Volume 8 , Special Issue 6: Signal Processing Symposium 2015 , September 2016 , pp. 909 - 913
Copyright
Copyright © Cambridge University Press and the European Microwave Association 2015 

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References

REFERENCES

[1] Veselago, V.G.: The electrodynamics of substances with simultaneously negative values of IMG align = absmiddle alt = ε eps/IMG and μ. Phys. – Usp., 10 (4) (1968), 509–514.CrossRefGoogle Scholar
[2] Labidi, M., Tahar, J.B.; Choubani, F.: Meta-materials applications in thin-film sensing and sensing liquids properties. Opt. Express, 19 (104) (2011), A733–A739.CrossRefGoogle ScholarPubMed
[3] Rockstuhl, C. et al. : Resonances of split-ring resonator metamaterials in the near infrared. Appl. Phys. B, 84 (1–2) (2006), 219–227.CrossRefGoogle Scholar
[4] Hsieh, L.-H.; Chang, K.: Equivalent lumped elements G, L, C, and unloaded Q's of closed- and open-loop ring resonators. IEEE Trans. Microw. Theory Tech., 50 (2) (2002), 453–460.CrossRefGoogle Scholar
[5] Du, J. et al. : Magnetic resonance of slotted circular cylinder resonators. J. Appl. Phys., 104 (1) (2008), 014907.CrossRefGoogle Scholar
[6] Sydoruk, O. et al. : Analytical formulation for the resonant frequency of split rings. J. Appl. Phys., 105 (1) (2009), 014903.CrossRefGoogle Scholar
[7] Ozbay, E.; Guven, K.; Aydin, K.: Metamaterials with negative permeability and negative refractive index: experiments and simulations. J. Opt. A, Pure Appl. Opt., 9 (9) (2007), S301.CrossRefGoogle Scholar
[8] Rosa, E.B.; Grover, F.W.: Formulas and tables for the calculation of mutual and self induction. Bull. Bur. Stand., 8 (1) (2011), 174–182.Google Scholar
[9] Grover, F.W.: Inductance Calculations: Working Formulas and Tables, Courier Dover Publications, New York, 2004.Google Scholar
[10] Grover, F.W.: The calculation of the mutual inductance of circular filaments in any desired positions. Proc. IRE, 32 (10) (1944), 620–629.CrossRefGoogle Scholar
[11] Ghosh, S.; Chakrabarty, A.: Estimation of capacitance of different conducting bodies by the method of rectangular subareas. J. Electrost., 66 (3) (2008), 142–146.CrossRefGoogle Scholar