Gaussian Beam Propagators Scattering by a Fast Moving PEC Wedge

We are concerned with the scattering of 3-D Gaussian beam propagators from a perfectly electric conductor wedge in uniform translation. The incident Gaussian beam propagators are the building blocks of the phase-space beam summation method, which is a general framework for analyzing the propagation and scattering of waves. In this article, we use the asymptotic plane wave (PW) scattering from a moving wedge. By applying asymptotic analysis to the PW decomposition of the incident fields, we obtain the closed-form expressions for the wave potentials and the corresponding time-dependent electromagnetic vector operators. The asymptotic scattered potentials consist of relativistic reflected, shadowing, and diffraction waves. These waves are investigated and parameterized to include the velocity-dependent features and wave phenomena corresponding to the wedge speed. Numerical examples are included.