Inverse 2D obstacle scattering by adaptive iteration

The 2D inverse time harmonic electromagnetic scattering problem of reconstructing the starlike boundary Λ of an infinitely conducting obstacle from its far field scattering data is considered. An approach that employs weak a priori knowledge by choosing an auxiliary curve Γ inside the searched boundary Λ is used. Reconstructions are improved using an iteration scheme to adapt the internal curve Γ by exploiting information on the reconstruction Λ of the previous step. The adaptation algorithm yields significant improvements on Λ, provided a reasonable first reconstruction may be obtained