Cramér-Rao bounds for determination of permittivity and permeability in slabs

In English We compute the Cramér-Rao lower bounds for determination of isotropic permittivity and permeability in slabs using scattering data such as reflection and transmission coefficients. Assuming only the fundamental mode is propagating in the slab, the results are formally the same regardless if the slab is in free space, or inside a rectangular or coaxial waveguide. The bounds depend only on signal quality and not the actual inversion method used, making them suitable to evaluate a particular measurement setup. The results are illustrated with several measurements in a rectangular waveguide setting.