A method based on a dual frequency resonator to estimate physical parameters of superconductors from surface impedance measurements in a magnetic field

High frequency applications of superconductors in a dc magnetic field rely on the estimate of the characteristic crossover frequency ${\nu }_c$ between low and high losses. Customarily, high sensitivity resonant techniques, intrinsically operating at discrete frequencies, are used to estimate ${\nu }_c$. We exploit here a method based on a dual frequency resonator. We show that single-frequency evaluations of ${\nu }_c$ lead to heavy underestimations of the superconductor surface resistance. We describe a combined analytical and experimental approach that gives more accurate estimates for ${\nu }_c$, and additionally allows to test the underlying physical model.