Pulsed beam scattering by a fast moving PEC wedge

We are concerned with the scattering of a time dependent electromagnetic pulsed beam from a moving PEC wedge scatterer. The incident wave object serve as the basis wave propagators of the time dependent phase-space pulsed beam summation method which is a general framework for analyzing propagation of scalar and electromagnetic fields from extended sources. The electromagnetic scattering problem can be reduced to a scalar one by applying the conventional Hertz potentials formulation. By utilizing the Lorentz Transformation and applying Maxwell´s boundary conditions in the (scatterer) co-moving frame, the exact spectral solution, as well as the short-pulsed asymptotic solution for the scattered potential are obtained. These EM wave solutions are than transferred back to the incident-wave (“laboratory”) coordinate frame. The resulting scattered field reveal the canonical form of a relativistic diffraction phenomena such as Keller´s cone, time-dependent transition boundaries and more.