  In the junctions with a strong Josephson coupling and a pronounced
interfacial pair breaking, the magnetic interference patterns of the Josephson
current are shown to differ substantially from the standard Fraunhofer shape.
The Fraunhofer pattern occurs, when Josephson couplings are weak. The narrow
peak of the critical current, centered at the zero magnetic field, and the
suppressed hills at finite field values are the characteristic features of the
non-Fraunhofer magnetic field modulation of the critical current, obtained in
this paper.
