Polarization utilization in profile inversion of a perfectly conducting prolate spheroid

A new model for the solution of the inverse problem of electromagnetic scattering by smooth, convex-shaped, perfectly conducting, three-dimensional scatterers has been developed. Certain geometrical as well as physical optics approximations were used to incorporate the concept of Minkowski's problem of differential geometry into the space-time integral solution of electromagnetic scattering. This enables the formal solution for the recovery of the surface profile of the scatterer from the scattered field data. Application of this inverse scattering model to the test case of a perfectly conducting prolate spheroid has been undertaken. Various results, along with errorbounds and limitation, are discussed.