Magnetic properties of slablike Josephson-junction arrays

Magnetic properties of infinitely long and wide slablike Josephson-junction arrays (JJAs) consisting of 2N+1 rows of grains are calculated for the dc Josephson effect with gauge-invariant phase differences. When N is large, the intergranular magnetization curve, MJ(H), of the JJAs in low fields approaches that of uniform Josephson junctions with lengths equal to the thicknesses of the JJAs, but in a larger field interval, its amplitude is dually modulated with periods determined by the junction and void areas. MJ(H) curves for small N are more complicated. The concept of Josephson vortices and the application of the results to high-Tc superconductors are discussed. © 1994 The American Physical Society.