G. Dassios et Rj. Lucas, ELECTROMAGNETIC IMAGING OF ELLIPSOIDS AND ELLIPSOIDAL BOSSES, Quarterly Journal of Mechanics and Applied Mathematics, 51, 1998, pp. 413-426
The inverse problem of determining the geometrical characteristics of
a perfectly conducting ellipsoid or ellipsoidal boss from low-frequenc
y scattering data is considered. It is shown that the orientation and
semidiameters of the scatterer can be determined from measurements of
the leading-order term in the low-frequency expansion of the electric
scattering amplitude for plane wave excitation. For the ellipsoid, mea
surements corresponding to six directions of incidence and associated
polarization provide the necessary data, while three measurements suff
ice for the ellipsoidal boss on a perfectly conducting base plane.