Skip to main content Accessibility help
×
Home

Electrical equivalent model of meta-materials based on circular SRR

  • Mondher Labidi (a1) and Fethi Choubani (a1)

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.

Copyright

Corresponding author

Corresponding author: M. Labidi Email: mondher.labidi@supcom.rnu.tn

References

Hide All
[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), 509514.
[2] Labidi, M., Tahar, J.B.; Choubani, F.: Meta-materials applications in thin-film sensing and sensing liquids properties. Opt. Express, 19 (104) (2011), A733A739.
[3] Rockstuhl, C. et al. : Resonances of split-ring resonator metamaterials in the near infrared. Appl. Phys. B, 84 (1–2) (2006), 219227.
[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), 453460.
[5] Du, J. et al. : Magnetic resonance of slotted circular cylinder resonators. J. Appl. Phys., 104 (1) (2008), 014907.
[6] Sydoruk, O. et al. : Analytical formulation for the resonant frequency of split rings. J. Appl. Phys., 105 (1) (2009), 014903.
[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.
[8] Rosa, E.B.; Grover, F.W.: Formulas and tables for the calculation of mutual and self induction. Bull. Bur. Stand., 8 (1) (2011), 174182.
[9] Grover, F.W.: Inductance Calculations: Working Formulas and Tables, Courier Dover Publications, New York, 2004.
[10] Grover, F.W.: The calculation of the mutual inductance of circular filaments in any desired positions. Proc. IRE, 32 (10) (1944), 620629.
[11] Ghosh, S.; Chakrabarty, A.: Estimation of capacitance of different conducting bodies by the method of rectangular subareas. J. Electrost., 66 (3) (2008), 142146.

Keywords

Electrical equivalent model of meta-materials based on circular SRR

  • Mondher Labidi (a1) and Fethi Choubani (a1)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed