Remote sensing of dielectric medium

A remote sensing technique for the estimation of the dielectric and conductivity profile of an inaccessible stratified half space is presented. The data was the reflected power from the inaccessible region, due to normally incident plane waves at various discrete frequencies. The problem was posed as a nonlinear Fredholm integral equation of the first kind, where the dielectric and conductivity profile of the inaccessible half space was sought. The equation was solved approximately by developing a Quasi Newton method in functional space. The Backus and Gilbert resolving power theory was used to estimate the resolution and certainty of the results. Results are given for the reconstruction of various dielectric and conductivity profiles from an artificial data, together with resolving kernels and local averages estimates.