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PIER PIER B PIER C PIER M PIER Letters
2012-10-05
Retrieval of Effective Electromagnetic Parameters of Isotropic Metamaterials Using Reference-Plane Invariant Expressions
By
Ugur Cem Hasar,

    Prof. Ugur Cem Hasar

    Electrical and Electronics Engineering

    Gaziantep University

    Turkey

    Homepage

Joaquim Jose Barroso,

    Dr. Joaquim Jose Barroso

    National Institute for Space Research

    Brazil

    Homepage

Cumali Sabah,

    Prof. Cumali Sabah

    Physikalisches Institut,

    Goethe University (Frankfurt University),

    Germany (Deutschland)

    Homepage

Ibrahim Yucel Ozbek,

    Dr. Ibrahim Yucel Ozbek

    Department of Electrical and Electronics Engineering

    Ataturk University

    Turkey

    Homepage

Yunus Kaya,

    Mr. Yunus Kaya

    Department of Electricity and Energy

    Bayburt University

    Turkey

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Deniz Dal,

    Dr. Deniz Dal

    Department of Computer Engineering

    Ataturk University

    Turkey

    Homepage

Tolga Aydin

    Dr. Tolga Aydin

    Department of Computer Engineering

    Ataturk University

    Turkey

    Homepage

Progress In Electromagnetics Research, Vol. 132, 425-441, 2012
doi:10.2528/PIER12072412
Abstract
Three different techniques are applied for accurate constitutive parameters determination of isotropic split-ring resonator (SRR) and SRR with a cut wire (Composite) metamaterial (MM) slabs. The first two techniques use explicit analytical calibration-dependent and calibration-invariant expressions while the third technique is based on Lorentz and Drude dispersion models. We have tested these techniques from simulated scattering (S-) parameters of two classic SRR and Composite MM slabs with various level of losses and different calibration plane factors. From the comparison, we conclude that whereas the extracted complex permittivity of both slabs by the analytical techniques produces unphysical results at resonance regions, that by the dispersion model eliminates this shortcoming and retrieves physically accurate constitutive parameters over the whole analyzed frequency region. We argue that incorrect retrieval of complex permittivity by analytical methods comes from spatial dispersion effects due to the discreteness of conducting elements within MM slabs which largely vary simulated S-parameters in the resonance regions where the slabs are highly spatially dispersive.
Citation
Ugur Cem Hasar, Joaquim Jose Barroso, Cumali Sabah, Ibrahim Yucel Ozbek, Yunus Kaya, Deniz Dal, and Tolga Aydin, "Retrieval of Effective Electromagnetic Parameters of Isotropic Metamaterials Using Reference-Plane Invariant Expressions," Progress In Electromagnetics Research, Vol. 132, 425-441, 2012.
doi:10.2528/PIER12072412
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