DETERMINATION OF THE ORIENTATION OF CYLINDRICAL BODIES BURIED IN A HALF-SPACE BY THE USE OF SCATTERING DATA

Several exact and numerical techniques have been established to solve inverse (electromagnetic) scattering problems connected with cylindric al bodies whose orientations are known in advance. In these cases, by choosing the coordinate system properly, one can reduce the problem to a two-dimensional scalar problem. On the other hand, when the orienta tions are not known, it is unavoidable that the problem will be three- dimensional and vector-valued and, as far as we know, such problems ha ve not been well studied. The aim of this paper is to solve the invers e (electromagnetic) scattering problems connected with bodies buried i n a half-space with unknown orientations, and in particular, to determ ine the orientation of the body. Once the orientation is obtained. oth er properties can be recovered using known methods. The method given i n the present work is based on the Born approximation, which can alway s be ensured by choosing the frequency of the incident wave appropriat ely.