Inverse problems of the nonlinear electrodynamics of high-T
c
superconductors |
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Authors: | K P Gaikovich A N Reznik |
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Institution: | (1) Institute of Microstructure Physics, Russian Academy of Sciences, 603600 Nizhnii Novgorod, Russia |
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Abstract: | A method is developed for reconstructing the dependence of the surface impedance of Z
s
(H) of high-T
c
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 Z
s
(H). The corresponding integral equations are obtained for certain types of resonators. The errors of the conventional methods
employing algebraic relations for Z
s
(H) are analyzed. The Tikhonov regularization method, developed in the theory of ill-posed inverse problems, is used to reconstruct
the functions Z
s
(H) from the integral equations. Numerical experiments on the reconstruction of Z
s
(H) were performed, and the requirements for the accuracies and other characteristics of the experimental data were determined
from them.
Zh. Tekh. Fiz. 68, 78–86 (August 1998) |
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Keywords: | |
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