Abstract
We consider the concentric, two-coil mutual inductance technique. Highly accurate approximations for the complex-valued mutual inductance of thin film superconductors in the Meissner state are derived. The ratio of the mutual inductance in the superconducting state M to the mutual inductance in the normal state M0 is derived for axisymmetric geometry and evaluated in limiting cases. This ratio is characterized not only by the two-dimensional screening length but by a combination of the macroscopic lengths of the coil geometry. The results have practical application for the electromagnetic response of superconducting thin films. Subsets of the results are relevant for inverting the mutual inductance to recover the penetration depth absolutely, and in studying the proximity effect.
Published Version
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