ON THE USE OF GAUSSIAN BEAMS IN ONE-DIMENSIONAL PROFILE INVERSION CONNECTED WITH LOSSY DIELECTRIC SLABS

A regularized theory of the one-dimensional profile inversion connecte d with inhomogeneous conducting slabs is established through an illumi nation by Gaussian beams. This kind of illumination does not have the difficulties which occur in forming and measuring plane and cylindrica l waves. The explicit expression of the Gaussian beam is obtained by a ssuming that its amplitude and phase are known on a certain 'aperture plane'. The solution involves the frequency and the regularization con stant as two adjustible parameters. By appropriately choosing these pa rameters one gets the best regularized approximate solution. Some illu strative examples show the accuracy as well as the applicability of th e theory.