Synthesis of All Known Analytical Permittivity Reconstruction Techniques of Nonmagnetic Materials From Reflection and Transmission Measurements

This letter shows that all published analytical reconstruction formulas for the permittivity of a nonmagnetic material from the measured total reflection and transmission responses-the Nicolson-Ross, Weir, and Stuchly-Matuszewsky equations-are equal to either the impedance or propagation methods. We also show that the measured total reflection and transmission are independent measurements and hence allow for simultaneous and unique reconstruction of the complex electric permittivity, including conductivity, and the complex magnetic permeability.