An iterative algorithm is proposed in this paper. To reconstruct the complex pernuttivity of a 2-D inhomogeneous lossy dielectric object from the measured scattered fields

the object is illuminated successively by TM plane waves of different angles of incidence

and the scattered fileds are measured

for example

at a measurement line.By using the method of moment

the integral equation can be discretized into matrix form.Starting from Born approximation

the coupled matrix equations are solved iteratively.In general

inverse scattering problems are mostly illconditioned. In order to overcome the ill-conditioness

we apply the conjugate gradient method.The computer simulations show the feasibility of the proposed reconstruction scheme.