Extension and error analysis of the microstrip transmission-line method for the broad-band measurement of the permeability tensor

In this paper, the theory associated with a noniterative and broad-band method for measuring the permeability tensor components /spl mu/=/spl mu/'-j/spl mu/'' and /spl kappa/=/spl kappa/'-j/spl kappa/'' is extended in order to simultaneously determine the test sample-relative permittivity /spl epsiv/=/spl epsiv/'-j/spl epsiv/''. The error sources of the method are equally presented and quantified. Detailed theoretical and experimental studies are performed to estimate the errors in the determination of /spl mu/, /spl kappa/, and /spl epsiv/ due to the quasi-static approximation for their calculation, as well as the uncertainty in the measured S-parameters of the test cell and samples length. These define the frequency-validity domain of the method.