Abstract
The Josephson junctions have brought the developments of superconducting quantum interference devices (SQUIDs) and the single-flux quantum (SFQ) digital integrated circuits. Meanwhile, the quantum phase-slip (QPS) junction is founded to be the dual element of the Josephson junction and is promising for the new devices dual to the Josephson junction circuits. This article presents a general electromagnetic-flux distribution model with the conventional electric variables to unify the analysis methods for the superconducting circuits based on the Josephson junctions and QPS junctions. This model depicts the working principles of the Josephson junction network and its dual circuit with the uniform circuit equations; it also provides the general solution of building the dual circuit of a Josephson junction network with QPS Junctions. The analyses of a Josephson junction network and its dual circuit are demonstrated, and the simulation results based on the electromagnetic-flux distribution model are presented. The general electromagnetic-flux distribution model bridges the gap between the superconducting and non-superconducting circuits.
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