Analytical Inductance Calculation of Superconducting Stripline by Use of Transformation into Perfect Conductor Model

Yoshinao MIZUGAKI; Akio KAWAI; Ryuta KASHIWA; Masataka MORIYA; Tadayuki KOBAYASHI

doi:10.1587/transele.E93.C.486

Special Section on Frontiers of Superconductive Electronics

Analytical Inductance Calculation of Superconducting Stripline by Use of Transformation into Perfect Conductor Model

Yoshinao MIZUGAKI, Akio KAWAI, Ryuta KASHIWA, Masataka MORIYA, Tadayuki KOBAYASHI

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Keywords: superconductor, stripline, inductance, penetration depth, analytical calculation, SQUID

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2010 Volume E93.C Issue 4 Pages 486-488

DOI https://doi.org/10.1587/transele.E93.C.486

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Abstract

We present analytical expression for inductance of a superconducting stripline, a strip sandwiched by two superconducting ground planes. In our method, we utilize the analytical formula for a perfect-conducting stripline derived by Chang in 1976. To utilize Chang's formula, we first transform the structure of a superconducting stripline into that of a perfect-conducting stripline by reducing the thicknesses of the superconducting layers. The thickness reduction is “λcoth (t/λ)” for each (upper or lower) side, where λ and t are the field penetration depth and the layer thickness, respectively. Then, we apply Chang's formula to the transformed stripline model. The calculated results are in good agreement with the numerical and experimental results.

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