Abstract
We examine the magnetic interference patterns of Josephson junctions with a region of 0 and of $\ensuremath{\pi}$ phase shift. Such junctions have recently been realized as $c$-axis YBCO-Pb junctions with a single twin boundary in YBCO. We show that in general the junction generates self-fields which introduces an asymmetry in the critical current under reversal of the magnetic field. Numerical calculations of these asymmetries indicate that they account well for unexplained features observed in single twin boundary junctions.
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