An Electromagnetic-Flux-Distribution Model for Analyses of Superconducting Josephson Junction Circuits and Quantum Phase-Slip Junction Circuits

Superconducting Josephson junctions and quantum phase slip (QPS) create various hybrid circuits combined with nonsuperconducting elements. Those require a common analysis method to bridge the gap between superconducting electronics. This article presents an electromagnetic-flux-distribution model unify analyses of non-superconducting circuits. uses electric magnetic fluxes as variables definitions circuit elements laws; it derives general equations viewed from both fields, depict their dynamics duality principles. is demonstrated in junction its dual QPS circuit. It shows that are magnetic-flux distribution network tuned by current, while electric-flux modulated voltage.