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

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 lambda coth(t/lambda)' tor each (upper or lower) side. where lambda 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