Electromagnetic-Field-Based Circuit Theory and Charge-Flux-Flow Diagrams

Abstract

We derive the general circuit equations and system models directly from four Maxwell's equations and develop the electric-charge-based and magnetic-flux-based analysis methodologies to unify the analyses for both phase-independent circuits such as resistor-inductor-capacitor (RLC) circuits and semiconductor transistor circuits, and phase-dependent circuits such as Josephson junction circuits and quantum-phase-slip (QPS) junction circuits. We invent the electric-charge-flow (ECF) diagram and the magnetic-flux-flow (MFF) diagram to abstract electric circuits into electric-charge-pump (ECP) networks and magnetic-flux-pump (MFP) networks, and visualize the dynamics of charge and flux distributions in electric circuits. The ECF and MFF diagrams are the graphic expressions of the system models of electric circuits, which can be directly simulated through solving general circuit equations. They are novel graphic languages for electromagnetic field-based circuit design and analysis.