Matching the complex impedance of the body with the field of incident wave

An electromagnetic wave falls onto a body. The body position is fixed with respect to the wave. The surface impedance of the body can be matched with the wave field structure in such a way that the scattered field is small in the direction opposite to that of the incoming wave as well as in the close directions. The matching means that the impedance at each point of the illuminated surface provides the same relation of tangential components of the electric and magnetic fields as in the incident wave. If the incident wave is the plane one, then the matching impedance is real.