Static fluxons in a superlattice of Josephson junctions

A planar superlattice of Josephson junctions is studied theoretically and numerically. The superlattice is made of laterally coupled long Josephson tunnel junctions through idle regions. Static fluxon solutions are found analytically and numerically. For narrow junctions the problem is reduced to a system which is effectively nonlocal in space. We explore the nonlocality effects on the local magnetic field components, the Josephson current and the energy density, for a coherent homopolar fluxon array.