Modeling the effects of fabrication spreads and noise on series coupled arrays of bi-SQUIDs

We explore the effects of fabrication spreads and noise in a series array of DC bi-SQUIDs. The investigation is performed through numerical simulations of phase equations derived from circuit diagrams. It has been previously determined that the series coupled bi-SQUID arrays dynamic range increases with the number of bi-SQUIDs in the array and that non-uniform bi-SQUID loops sizes produces a zero-field single anti-peak in the voltage response. Results show the effects of industry standard fabrication spreads to the anti-peak feature are minimal, while the effects to the voltage response of arrays of identical bi-SQUIDs can be drastic. The findings presented here will be used to support the design of an electrically small magnetic field antenna and low-noise amplifier with high bandwidth.