Plane Wave Scattering by a Moving PEC Circular Cylinder

This paper is concerned with the scattering of a time-harmonic electromagnetic (EM) plane wave (PW) by a fast and slow moving perfectly electric conducting circular cylinder under the framework of Einstein's special relativity. By applying the Lorentz and EM field transformations to the scatterer comoving frame of reference, the problem is mapped into a PW scattering from a stationary cylinder. By using the well-known (stationary cylinder) exact and asymptotic solutions, we obtain the scattered EM field in this frame. These fields are then mapped back to the incident-field frame of reference. This procedure yields the exact and asymptotic scattered EM fields. We discuss several relativistic wave phenomena such as shifted shadow regions, velocity-dependent incident, and reflection angles and velocity-dependent creeping waves to name a few. Finally, we apply a low-speed approximation to the wave potentials and discuss the corresponding wave phenomena.