Modeling Bias Current Flow in SQAs in the Presence of Magnetic Fields

Optimizing the Josephson junction critical currents across a parallel coupled Superconducting Quantum Interference Device (SQUID) Array (SQA) increases the performance over the case where all junctions have the same critical current, allowing for the operation of wider arrays in the parallel coupled direction. We have previously modeled the current flow non-uniformity in zero magnetic field, however, in operation, the SQA will be biased in field to its optimal operating point on the anti-peak feature of the field-to-voltage transfer function. In this work we model the cross-sectional current distributions in a magnetic field. Initial simulations appear to confirm the current crowding predicted in previous work.