Convergence Properties of Surface Conductivity Characterization Method for Thin Conductive Strips

A new method to measure the surface conductivity $\sigma_{s}$ of thin conductors has been recently proposed, that requires placement of a narrow strip inside a rectangular waveguide. Infinite series appear in the calculations required to extract $\sigma_{s}$ from the measured scattering parameters. In this paper, we explore the convergence of the different series that are associated with two choices of basis functions (uniform & cosh). We also show the impact of the series truncation on the final computed values of the complex surface conductivity of 10- $j$ 10mS=Sq at 10GHz.