When a thin layer of normal (non-superconducting) material is
placed between layers of
superconducting material, a superconducting-normal-superconducting junction
is formed.
This paper considers a model for the junction based on the Ginzburg–Landau
equations as
the thickness of the normal layer tends to zero. The model is first derived
formally by averaging
the unknown variables in the normal layer. Rigorous convergence is then
established, as well
as an estimate for the order of convergence. Numerical results are shown
for one-dimensional
junctions.