The simple method for solving electromagnetic inverse scattering problems: the case of TE polarized waves

In two previous papers in this journal we presented a simple method for determining the support of a scattering object from noisy far-field data for transverse magnetic polarized electromagnetic waves. This method was based on the solution of a linear integral equation of the first kind with the mathematical analysis being based on an investigation of an interior transmission problem. In this paper we consider the case of transverse electric polarized electromagnetic waves and again obtain a linear integral equation whose solution yields the support of the scattering object. The mathematical analysis in this case is based on an interior transmission problem different from the one previously considered. Numerical examples are given in the limiting case of a perfect conductor and limited aperture data.