Magnetization of disordered Josephson junction arrays

The effect of a perpendicular magnetic field on a disordered two‐dimensional Josephson junction array (JJA) is analyzed using numerical simulation of full mutual inductance array equations. Disordered JJA can represent either itself or a model for granular high‐Tc disordered thin films. In usual zero field cooling conditions and absence of disorder the field penetrate the sample following a Bean critical state model. Using a simple technique it is also possible to obtain the whole 3D field map around the array. It can be shown that disorder induces a scattering of flux lines giving rise to some flux penetration into the sample. The 3D field can be used to produce 2D images of the field intensity to be compared with existing magnetic imaging techniques. We briefly discuss the comparison of simulated images with existing imaging experiments, as SQUID Scanning Microscopy (SSM) and Magneto‐Optical techniques (MO).