Self-synchronization in distributed Josephson junction arrays studied using harmonic analysis and power balance

Power generation and synchronization in Josephson junction arrays have attracted attention for a long time stemming both from fundamental interest and from application potential. The authors study the array of junctions coupled to a distributed transmission line either driven by an external microwave signal or in a self-oscillating mode. The authors simplify the theoretical treatment in terms of harmonic analysis and power balance. The model explains large operation margins of superconductor-normal-superconductor and superconductor-insulator-normal-insulator-superconductor junction arrays. The authors also compare theory, experiments, and simulations of self-oscillating externally shunted superconductor-insulator-superconductor junction arrays.