Improved inverse scattering for dielectric homogeneous cylinders

A method for the reconstruction of the shape and of the permittivities of h omogeneous cylindrical objects is described. It is based on a rigorous inte gral method and a conjugate gradient algorithm requiring the solution of on ly two direct problems at each step. The number of scatterers is directly e stimated from the data and remains fixed during the iterative process. To e nsure the stability of the method, some smoothness of the boundary is requi red. This is achieved through the in-process control of the number of Fouri er coefficients in the representation of the boundary. Numerical examples s howing the versatility of the approach are given.