  We consider the equations of electromagnetism set on a domain made of a
dielectric and a conductor subdomain in a regime where the conductivity is
large. Assuming smoothness for the dielectric--conductor interface, relying on
recent works we prove that the solution of the Maxwell equations admits a
multiscale asymptotic expansion with profile terms rapidly decaying inside the
conductor. This skin effect is measured by introducing a skin depth function
that turns out to depend on the mean curvature of the boundary of the
conductor. We then confirm these asymptotic results by numerical experiments in
various axisymmetric configurations. We also investigate numerically the case
of a nonsmooth interface, namely a cylindrical conductor.
