Characterization of Metameterial Using k-Band Rectangular Waveguide for 5G Applications

This paper presents a method developed for extracting electromagnetic properties of meta-materials. A thin slab of fictive homogeneous meta-material the complex permittivity <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">ε= -1.2-0.007j</tex> and the complex permeability <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">μ=-3.5-0.003j</tex> with thickness 0,79 mm loaded in a rectangular waveguide WR42, is simulated with HFSS in order to get the scattering parameters <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Sᵢⱼ</tex> at the <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">5G</tex> band (18,00-26,50 GHz). However, To extract the electromagnetic properties of meta-material (MM) from the Sij-parameters, the derivation of refractive index <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</tex> and impedance <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">z</tex> as functions of these parameters is computed using transmission line theory. To solve the branching problem that occurs to extract a unique solution, this method allows the refractive index and impedance to be determined by the requirements of a passive medium. This method has been validated by determining, in the 5G band, the electromagnetic properties of the MM mentioned above.