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The Zeeman interaction results in spontaneous current through a Josephsoncontact with a spin-orbit coupled normal metal, even in the absence of anyvoltage, or phase bias. In the case of the Rashba spin orbit coupling ofelectrons in a two-dimensional (2D) electron gas this effect takes place forthe Zeeman field which is parallel to the 2D system and to superconductingcontacts. At the same time, the spontaneous current is absent when this fieldis perpendicular to the contacts. It is shown that in the latter case it maymanifest itself in oscillations of the critical Josephson current at thevarying Zeeman energy. These oscillations have a form of the Fraunhoferdiffraction pattern. The Josephson current under the phase bias was calculatedbased on the semiclassical Green functions for a disordered 2D electron gaswith the strong spin orbit coupling, as well as for surface electrons of athree dimensional topological insulator. In the latter case the diffractionpattern was found to be most pronounced, while in the Rashba gas theoscillations of the critical current are weaker.

Fraunhofer oscillations of the critical current at a varying Zeeman field in a spin-orbit coupled Josephson junction