Modeling Large Two-Dimensional Superconducting Quantum Interference Device Arrays With Josephson Junction Opens and Shorts

In this paper we explore the effects of open and shorted Josephson Junctions (JJs) on the current-voltage (I-V) curve, and the voltage-field (V-B) curve of two-dimensional high temperature superconductor (HTS) Gaussian distributed Superconducting Quantum Interference Device (SQUID) Arrays (SQAs). We examine two cases here. The first case involves having a portion of the parallel rows of junctions containing either a single open or shorted junction. The second case involves an array having large blocks of open JJs. The large blocks represent a large damaged area on an array.