A method for reconstructing the shape of a bounded impenetrable object
from measured scattered field data is presented. The reconstruction a
lgorithm is, in principle, the same as that used before for reconstruc
ting the conductivity of a penetrable object and uses the fact that fo
r high conductivity the skin depth of the scatterer is small, in which
case the only meaningful information produced by the algorithm is the
boundary of the scatterer. A striking increase in efficiency is achie
ved by incorporating into the algorithm the fact that for large conduc
tivity, the contrast is dominated by a large positive imaginary part.
This fact together with the knowledge that the scatterer is constraine
d in some test domain constitute the only a priori information about t
he scatterer that is used. There are no other implicit assumptions abo
ut the location, connectivity, convexity, or boundary conditions. The
method is shown to successfully reconstruct the shape of an object fro
m experimental scattered field data in a ''blind'' test.