3D shape reconstruction of PEC scatterers by PO vectorial formulation

The problem of imaging three dimensional perfect electric conducting objects from scattered field measurements is addressed. A multifre-quency/single view configuration in far-field zone is considered. The Physical Optics (PO) approximation is adopted to simplify the scattering model and the scatterers´ shapes (i.e. their contour surfaces) are described as the support of delta distributions. This leads to a linear integral relationship between the scattered field and the unknown distributions, the linear distributional model, which is inverted by employing its singular values decomposition (SVD). The analysis is performed numerically by means of synthetic data generated by a FEM based forward solver.