Scattering By an Arbitrarily Shaped Conductor in Uniform Motion Relative to the Source of an Incident Spherical Wave

We propose a method for analyzing the scattering of spherical waves by an arbitrarily shaped, perfectly conducting scatterer in relative motion with respect to the source and observation points. To treat this problem more rigorously, we use relativistic notation. Since the scatterer is arbitrarily shaped (the surface is assumed convex and closed), physical‐optics currents are assumed. These currents are found by transforming the incident field to the moving frame of the scatterer using the Lorentz transformation. The scattered field is derived in the scatterer's frame using the method of stationary phase. The scattered field is then transformed to the frame containing the source of the incident field. A method for finding the geometrical optics scattered field is derived. By‐products of the approach yield: (1) the angular frequency of the incident wave in the scatterer's frame, (2) a technique for finding the stationary phase points, and (3) a formula for calculating the frequency of the scattered field in the observer's frame.