Asymptotic theory of local maximum of back scattering from thin conducting polygon with large dimensions

Let plane electromagnetic wave is incident on thin conductive polygon with large, in compare with wavelength, dimensions. The problem is to determine the back scattering from this polygon. A possible asymptotic solution is suggested by the problem geometry - in the context of geometry diffraction theory (GDT). A field scattered by polygon may be considered as a superposition of ray fields of three types. First, in accordance with geometry optics principle, the incidence ray is reflected from plane surface of polygon. Second, diffraction rays arise from rectilinear edges of polygon. Both types of the rays are well known. Finally, it should be added the rays from the tops of polygon.