Plane wave spectral analysis of scattering of an EM Gaussian beam by a moving PEC circular cylinder

This contribution is concerned with deriving the canonical scattering of a time-harmonic electromagnetic Gaussian propagator from a fast moving PEC circular cylinder under the framework of Einstein´s Special Relativity. The incident electromagnetic wave objects in this contribution serve as the basis wave propagators of the frame-based phase-space beam summation method, which is a general framework for analyzing radiation from extended sources. Both the TE and TM polarized Gaussian propagators are considered by applying plane wave spectral representation to the incident field in the laboratory frame. By utilizing the Lorentz transformation and applying Maxwell´s boundary conditions in the co-moving frame, we obtain an exact solution for the scattered fields vector potentials in the form of spectral integrals. The later are transformed back to the laboratory frame via the inverse Lorentz transformation.