Uncertainties in the determination of dielectric properties in the infinite sample method

In the infinite-sample method, the sample permittivity is found from the measured input reflection coefficient. The reflection coefficient domain of a traveling-wave system is transformed into the complex permittivity domain by two subsequent mappings which include the inverse bilinear and Schwarz-Christoffel transformations. The error bounds in permittivity measurements are derived. The dielectric properties and respective uncertainties are presented for a water sample in the form of the Cole-Cole diagram. The case presented represents the first step leading to a more general presentation of uncertainties in dielectric measurements