Oscillations in a Josephson junction lattice stimulated by a common load

We present the analysis of soliton dynamics, current–voltage characteristics and AC power for a two-dimensional lattice of Josephson junctions using an effective alternating direction implicit (ADI) numerical scheme. The lattice is supplemented by a resistive-capacitive load (RC-load) and the bias feed is supplied from boundaries of the structure only and is redistributed between junctions via internal dynamics. At fixed length of such a lattice, its critical current have a maximum as a function of a lattice width, since not all junctions inside the lattice can be biased equally. The use of RC-load allows transferring generated AC power to a load device out of the array, but it changes the dynamics significantly. We show that regimes of solitons with plasma tails, generated due to array discreteness and leading to strong superradiant power, become unstable with matched RC-load and the corresponding zero field steps at the current–voltage characteristics disappear completely. Instead, at matched RC-load, standing wave regimes demonstrate high generation efficiency, reaching 21% of supplied dc power.