2D-TE inverse medium scattering: an improved variable metric method

The 2D inverse electromagnetic scattering problem of reconstructing the material properties of inhomogeneous lossy dielectric cylindrical objects is considered. The material properties are reconstructed using scattering data from time-harmonic electromagnetic plane waves with the electric field vector perpendicular to the cylinder axis (TE-polarization). An improved algorithm based on a variable metric method is presented to solve the inverse scattering problem. The new method ensures positive values of the reconstructed quantities. This method involves exact first-order gradients. Numerical examples illustrate the efficiency of the algorithm.