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The development of superconducting memory and logic based on magneticJosephson junctions relies on an understanding of junction properties and, inparticular, the dependence of critical current on external magnetic flux (i.e.Fraunhofer patterns). With the rapid development of Josephson junctions withvarious forms of inhomogeneous barrier magnetism, Fraunhofer patterns areincreasingly complex. In this paper we model Fraunhofer patterns for magneticJosephson junctions in which the barrier magnetic susceptibility is position-and external magnetic field dependent. The model predicts anomalous Fraunhoferpatterns in which local minima in the Josephson critical current can be nonzeroand non-periodic with external magnetic flux due to an interference effectbetween highly magnetised and demagnetised regions.

Fraunhofer patterns in magnetic Josephson junctions with non-uniform magnetic susceptibility