Improvement of inverse scattering results by combining TM- and TE-polarized probing waves using an iterative adaptation technique

The inverse problem of reconstructing the starlike boundary Lambda of an infinitely conducting, cylindrically shaped obstacle from its far field scattering data is investigated. The Equivalent Source Method (ESM) is applied by defining an auxiliary curve Gamma inside the unknown boundary Lambda on which electric and magnetic current densities are sought to represent the measured fields. Compared to the case of a sole polarization the exploitation of scattering data of both TE- and TM-polarization yields significant improvements on the reconstructed boundary Lambda.