TD-UTD for scattering from a smooth convex surface

A time domain uniform geometrical theory of diffraction (TD-UTD) formulation for the scattering from a smooth perfectly conducting convex surface is presented. The TD-UTD is obtained from the frequency domain UTD by an application of the analytic time transform (ATT). This TD-UTD formulation is valid when the observer and source are off of the surface. If the observer is located in the deep lit region, the TD-UTD reduces to the geometrical optics (GO) field. If the observer is in the deep shadow region, the TD-UTD field reduces to the creeping wave mode representation. Most importantly, the TD-UTD solution remains uniformly valid within the surface shadow boundary (SSB) transition region where neither the GO field nor the creeping wave mode fields are valid.