Inverse 2D electromagnetic obstacle scattering for multiple scatterers using an iterative adaptation technique

The 2D inverse time-harmonic electromagnetic scattering problem of reconstructing the boundary /spl Lambda/=/spl cup//spl Lambda//sub p/, p=1,2,...,P of P infinitely conductive starlike obstacles with boundaries /spl Lambda//sub p/ from their far field scattering data is considered. Weak a priori knowledge about the location of the scatterers is used to define auxiliary curves /spl Gamma//sub p/ inside each of the searched boundaries /spl Lambda//sub p/. The cases of the electric field polarization being parallel or normal to the cylinder axes are examined. Reconstructions are improved using an iteration scheme to adapt the internal curves /spl Gamma//sub p/ by exploiting information on the reconstructions /spl Lambda//sub p/ of the previous step. The adaptation algorithm yields significant improvements on /spl Lambda/, provided a reasonable first reconstruction may be obtained.