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We study a tunnel junction consisting of two thin-film s-wave superconductorsseparated by a thin, insulating barrier in the presence of misaligned in-planeexchange fields. We find an interesting interplay between the superconductingphase difference and the relative orientation of the exchange fields,manifested in the Josephson current across the junction. Specifically, this maybe written $I_\text{J}^\text{C} = (I_0+I_m ~ \cos\phi) \sin\Delta\theta$, whereI_0 and I_m are constants, and $\phi$ is the relative orientation of theexchange fields while $\Delta\theta$ is the superconducting phase difference.Similar results have recently been obtained in other S/I/S junctions coexistingwith helimagnetic or ferromagnetic order. We calculate the superconductingorder parameter self-consistently, and investigate quantitatively the effectwhich the misaligned exchange fields constitute on the Josephson current, tosee if I_m may have an appreciable effect on the Josephson current. It is foundthat I_0 and I_m become comparable in magnitude at sufficiently lowtemperatures and fields close to the critical value, in agreement with previouswork. From our analytical results, it then follows that the Josephson currentin the present system may be controlled in a well-defined manner by a rotationof the exchange fields on both sides of the junction. We discuss a possibleexperimental realization of this proposition.

Josephson effect in thin-film superconductor/insulator/superconductor junctions with misaligned in-plane magnetic fields