## Superheating field of Type II Superconductors

###
S. J. Chapman

The superheating magnetic field of a Type II superconductor is
examined using the time-dependent Ginzburg-Landau equations and the
methods of formal asymptotics. The superconducting solution
in a halfspace is found to exist only for magnetic fields lower than
some critical value,
where there is a folding over of the solution branch.
A linear stability
analysis is performed both in one and two dimensions,
giving differing criteria for stability.
Finally, superheating fields for more general geometries are
considered and in particular the case of a sine-wave
perturbation of a halfspace is examined.