Analytical Solution to the Incident Power of the Tapered Wave in 3-D Scattering Problems

The tapered incident has been applied in rough surface 3-D scattering to meet the surface truncation requirement of the method of moments (MoM). The properties of such a wave provide concentration near the scattering center and attenuation to negligible in intensity for most of the incident angles. The resulting scattered intensities need to be normalized by the tapered incident power, to quantitatively predict the radar cross-section (RCS). The exact expression is analytically elaborated instead of the conventionally numerical method, to avoid losing information on the surface edges and improve the computational efficiency.