Reconstructions of two dimensional dielectric or conducting objects from mu
lti-frequency experimental data are considered in the present paper. Two di
fferent iterative methods are used for solving the inverse scattering probl
em. The first one is based on a boundary integral formalism and retrieves b
oundaries and complex permittivities of unknown homogeneous scatterers. For
this method initial guesses are derived from method of decomposition of th
e time reversal operator (DORT) combined with a low frequency approximation
. The second method is based on a domain integral formalism and retrieves t
he relative complex permittivity distribution inside some investigated doma
in. The data were carried out in a controlled environment (anechoic chamber
) and the reconstructions have been performed using multifrequency approach
, i.e., the scheme starts with the lowest available frequency and uses the
final result as initial guess at higher frequency in order to enhance the r
esolution.