Principal problems of the reflector antennas synthesis

An idea to controlling the radiation field at changing medium parameters and a form of boundary surfaces initially has been proposed in optics, though the practical development it has gained in the antenna techniques, in particular, when developing reflector and lens antennas. A great deal of works were devoted to the expedient synthesis of reflector antennas (and generally to two-surface ones) in geometrical approximation. As a rule, forms of wave fronts with the distributions of electromagnetic field vectors prescribed on them had been used as the initial data, that is a certain continuously-unique conformity between points of these forms had been given