Analysis of the capacitive coupling of Josephson transmission lines

Abstract
We study the capacitive coupling of two long Josephson junctions by imposing appropriate boundary conditions at the ends of the junctions. Numerical simulations show good agreement with analytical estimates of the parameter range for which reflections of fluxons at the coupled end of the junction occur. We discuss our results in terms of recent experiments concerning phase‐locking phenomena in Josephson junctions fluxon oscillators devices.