It is proved that one can choose a control function on an arbitrary small open subset of the boundary of an obstacle so that the total radiation from this obstacle for a fixed direction of the incident plane wave and for a fixed wave number will be as small as one wishes. The obstacle is called "invisible" in this case.
Distribution of particles which produces a "smart" material
Inverse scattering with non-overdetermined data
Distribution of particles which produces a desired radiation pattern: ETOPIM7
