TY - JOUR
T1 - Equivalent-circuit models for the design of metamaterials based on artificial magnetic inclusions
AU - Bilotti, Filiberto
AU - Toscano, Alessandro
AU - Vegni, Lucio
AU - Aydin, Koray
AU - Alici, Kamil Boratay
AU - Ozbay, Ekmel
N1 - Funding Information:
Manuscript received May 2, 2007; revised July 27, 2007. This work was supported by the European Union under the Network of Excellence METAMORPHOSE. F. Bilotti, A. Toscano, and L. Vegni are with the Department of Applied Electronics, University of “Roma Tre,” Rome 00146, Italy (e-mail: bilotti@ uniroma3.it). K. Aydin, K. B. Alici, and E. Ozbay are with the Department of Physics and the Department of Electrical and Electronics Engineering, Nanotechnology Research Center, Bilkent University, Bilkent 06800, Turkey. Color versions of one or more of the figures in this paper are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TMTT.2007.909611
PY - 2007/12
Y1 - 2007/12
N2 - In this paper, we derive quasi-static equivalent-circuit models for the analysis and design of different types of artificial magnetic resonators i.e., the multiple split-ring resonator, spiral resonator, and labyrinth resonator which represent popular inclusions to synthesize artificial materials and metamaterials with anomalous values of the permeability in the microwave and millimeter-wave frequency ranges. The proposed models, derived in terms of $RLC$ equivalent circuits, represent an extension of the models presented in a recent publication. In particular, the extended models take into account the presence of a dielectric substrate hosting the metallic inclusions and the losses due to the finite conductivity of the conductors and the finite resistivity of the dielectrics. Exploiting these circuit models, it is possible to accurately predict not only the resonant frequency of the individual inclusions, but also their quality factor and the relative permeability of metamaterial samples made by given arrangements of such inclusions. Finally, the three models have been tested against full-wave simulations and measurements, showing a good accuracy. This result opens the door to a quick and accurate design of the artificial magnetic inclusions to fabricate real-life metamaterial samples with anomalous values of the permeability.
AB - In this paper, we derive quasi-static equivalent-circuit models for the analysis and design of different types of artificial magnetic resonators i.e., the multiple split-ring resonator, spiral resonator, and labyrinth resonator which represent popular inclusions to synthesize artificial materials and metamaterials with anomalous values of the permeability in the microwave and millimeter-wave frequency ranges. The proposed models, derived in terms of $RLC$ equivalent circuits, represent an extension of the models presented in a recent publication. In particular, the extended models take into account the presence of a dielectric substrate hosting the metallic inclusions and the losses due to the finite conductivity of the conductors and the finite resistivity of the dielectrics. Exploiting these circuit models, it is possible to accurately predict not only the resonant frequency of the individual inclusions, but also their quality factor and the relative permeability of metamaterial samples made by given arrangements of such inclusions. Finally, the three models have been tested against full-wave simulations and measurements, showing a good accuracy. This result opens the door to a quick and accurate design of the artificial magnetic inclusions to fabricate real-life metamaterial samples with anomalous values of the permeability.
KW - Artificial magnetic inclusions
KW - Labyrinth resonators
KW - Metamaterials
KW - Miniaturization
KW - Multiple split-ring resonators
KW - Split-ring resonators
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U2 - 10.1109/TMTT.2007.909611
DO - 10.1109/TMTT.2007.909611
M3 - Article
AN - SCOPUS:36949017443
SN - 0018-9480
VL - 55
SP - 2865
EP - 2873
JO - IEEE Transactions on Microwave Theory and Techniques
JF - IEEE Transactions on Microwave Theory and Techniques
IS - 12
ER -