  We study the normal state conductance and the Josephson current in a
superconductor-2DEG-superconductor structure where the size/shape of the
2DEG-region can be modified by an additional side-gate electrode. The
considered transport properties follow from the retarded Green function which
we compute by employing a tight-binding-like representation of the Hamiltonian
in the 2DEG region. Our model studies offer a qualitative demonstration of the
recently observed effects caused by side-gate modulation.
