Abstract
A method is developed for reconstructing the dependence of the surface impedance of Zs(H) of high-Tc superconductors (HTSCs) on the amplitude of an ac magnetic field from measurements of the nonlinear radiophysical characteristics of microwave HTSC resonators. It is shown that the nonuniformity of the structure of the electromagnetic field in a resonator lead to integral equations for Zs(H). The corresponding integral equations are obtained for certain types of resonators. The errors of the conventional methods employing algebraic relations for Zs(H) are analyzed. The Tikhonov regularization method, developed in the theory of ill-posed inverse problems, is used to reconstruct the functions Zs(H) from the integral equations. Numerical experiments on the reconstruction of Zs(H) were performed, and the requirements for the accuracies and other characteristics of the experimental data were determined from them.
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