Abstract
In this paper the inverse problem for dielectric bodies in R3 is considered. We use a system of uniquely solvable integral equations which describes the scattering process in order to compute the scattering amplitudes. Continuity dependence of the far-field patterns upon the shape of the scatterer is proved to stabilise the inverse problem. An optimization scheme is proposed to derive solutions incorporating a priori data about the shape and size of the scatterer and as an example the case of axially symmetric bodies is examined.
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