Using Metamaterial Complementary Split-Ring Resonators for Measuring Dielectric Constants and Loss Tangents at 22 GHz

Abstract

This paper presents a method using a metamaterial complementary split-ring resonator (CSRR) to measure the dielectric constant (Dk) and loss tangent (Df) of materials at a frequency of 22 GHz. The method involves calculating the permittivity of an unknown material based on the oscillation frequency changes of a CSRR, which is caused by the material under test. This method with a CSSR sensor uses only the resonance frequency and the S ₂₁ magnitude response at the resonance frequency to calculate Dk and Df. The measurement accuracy was assessed by comparing the results with the declared values specified in the datasheets of material manufacturers. The results show good agreement with the declared values in the datasheets. Thus, with this method, the dielectric properties of materials at high frequencies of millimeter waves (mm-waves) can be characterized and a non-destructive sensor can be built.