We introduce Josephson junction and inductor models in Keysight ADS that feature an auxiliary flux port, and facilitate the expression of flux quantization conditions in simulation of superconducting microwave circuits. We present several examples that illustrate our methodology for constructing flux-quantizing circuits, including dc- and rf-SQUIDs, tunable couplers, and parametric amplifiers using SNAIL and rf-SQUID arrays. We perform DC, S-parameter, and harmonic balance simulations to validate our models and methods against theory and published experimental results.
@article{arxiv.2408.07861,
title = {Modeling flux-quantizing Josephson junction circuits in Keysight ADS},
author = {Ofer Naaman and Ted White and Mohamed Awida Hassan and Derek Slater and Sean Mcilvane and Edwin Yeung and Philip Krantz},
journal= {arXiv preprint arXiv:2408.07861},
year = {2024}
}