Statistical modeling of inductances in high- Tc superconductor electronic structures

In the design of electronic applications, e.g. rapid single flux quantum (RSFQ) circuits, with high- T c superconductors there is an obvious necessity of having precise knowledge of loop inductances. In general, these inductances have to be computed numerically due to the small sizes of the structures and the large contribution of the kinetic inductance. The present work is based on the analysis of a large number of inductances which have been calculated numerically for several high- T c superconducting loop configurations. By means of statistical modeling, analytical formulae, which are customized for the considered type of structure, are derived. They can efficiently be used to simplify and accelerate the process of layout design in high- T c RSFQ electronics.