INVERSE ELECTROMAGNETIC SCATTERING BY CYLINDRICAL BODIES BURIED IN A SLAB OR A HALF-SPACE

An exact theory of the inverse scattering problems related to cylindri cal bodies buried in a slab is established in two-dimensional scalar c ase. The theory dwells on two functional equations interrelating the o utgoing wave solutions of the wave equation, which can be observed phy sically, with incoming wave solutions that are physically meaningless and irrealizable. One of these functional equations involves the measu red radiation pattern in its kernel (material relation) while the othe r is independent of the measured data (universal relation). To establi sh the material relation one has to make far-field measurements with v arious. incidence angles at various observation points and frequencies . The universal relation which guarantees some analytical properties o f the field function results in a Stieltjes type integral equation. By solving these equations one gets the location, shape and permittivity of the inaccessible body. When the material of the half-space below t he slab is made identical to that of the slab, then the results are re duced to that of the bodies buried in a half-space.