  We present an analysis of the symmetries of the interference pattern of
critical currents through a two-dimensional
superconductor-semiconductor-superconductor junction, taking into account
Rashba and Dresselhaus spin-orbit interaction, an arbitrarily oriented magnetic
field, disorder, and structural asymmetries. We relate the symmetries of the
pattern to the absence or presence of symmetries in the Hamiltonian, which
provides a qualitative connection between easily measurable quantities and the
spin-orbit coupling and other symmetries of the junction. We support our
analysis with numerical calculations of the Josephson current based on a
perturbative expansion up to eighth order in tunnel coupling between the normal
region and the superconductors.
