The usual aim of an inverse scattering problem (ISP) is to retrieve the location, the shape and the electromagnetic parameters of the scatterer, encoded in the so called “contrast function”, by processing measurements of the scattered field. Interestingly, the ISP has been considered from the point of view of “design problems” rather than “diagnosis” ones. Saying it in other words, starting from a specification of a field pattern which takes the place of the scattering data, the corresponding scatterer (and eventually the amplitude of a very reduce number of primary sources) are synthesized. Note that such a change of the point of view allows to keep unaltered the problem’s formulation and hence the more general applicability of the theory. Obviously, the intrinsic difficulties of the inverse scattering problem keep unchanged as well. However, both non-linearity and ill-posedness are not an issue anymore, since: (i) whatever synthesized contrast function able to satisfy the (imposed) data of the problem is an admissible solution; (ii) usual regularization techniques can be used to enforce some property on the device.
This concept has been applied to design different kinds of devices.
Click on the pertaining box to find a list of related papers.