Retrieval of Effective Electromagnetic Parameters of Isotropic Metamaterials Using Reference-Plane Invariant Expressions

Abstract

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 calibrationdependent 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.

Design of a Compact Patch Antenna Loading Periodic Jerusalem Crosses

“…The effective permittivity will get smaller because of the absence of metal due to the etched pattern in the ground plane. The permittivity and permeability of the metamaterial can be derived from the transmission and reflection coefficients [13,14]. A microstrip line on top of the metasubstrate is simulated in order to examine the properties of the metasubstrate.…”

Determining the Effective Electromagnetic Parameters of Bianisotropic Metamaterials With Periodic Structures

“…Smith et al first applies the technique to materials composed of SRRs and finite rods [5] and then discusses the retrieval of inhomogeneous materials [6]. Some improved retrieval schemes based on the initial approach are also presented in recent years [7][8][9][10][11]. The parameters of a material can also be obtained by experiments based on the measurement of the S parameters using waveguide method [12].…”

A Unit Cell Approach to Model and Characterize the Metal Powders and Metal-Dielectric Composites at Microwave Frequencies

“…It looks rather more appropriate to make use of the reflection-transmission approach [20,21] instead of the cavity resonant technique to estimate the effective dielectric and magnetic properties of metal powders. The reflection-transmission approach is not based on any serious assumption, and has successfully been employed to measure the electromagnetic properties of the uniaxial composites [22] and the metamaterials [23][24][25] apart from the homogeneous materials in the microwave frequency band. In a general sense, the metal powders and the metal-dielectric composites may also be interpreted as metamaterials [26] since the electromagnetic properties of these powders and composites on a macro scale are quite different from its constituent materials.…”