Quantum interference in parallel connections of N x (0-π) overdamped Josephson junctions

A one-dimensional array of N cells of 0- and π-junctions in parallel is considered. By assuming that junction parameters and effective loop areas alternate as one moves along the longitudinal direction of the array, going from 0- to π-junctions, an effective single-junction model is derived. By this model, interference patterns of the critical current as a function of the applied magnetic flux can be analytically found.