Mesh Currents and Josephson Junction Arrays

TL;DR

This paper introduces a novel mesh current analysis method for Josephson junction arrays, revealing new equations and uncovering a shared underlying structure between different models.

Contribution

It presents a new, accurate mesh current analysis for Josephson junction arrays that yields different equations and links two models through a hidden structure.

Findings

Derived new equations for Josephson junction arrays

Identified a common underlying structure between models

Demonstrated differences from existing literature equations

Abstract

A simple but accurate mesh current analysis is performed on a XY model and on a SIMF model to derive the equations for a Josephson junction array. The equations obtained here turn out to be different from other equations already existing in the literature. Moreover, it is shown that the two models come from an unique hidden structure