Three‐dimensional relativistic scattering of electromagnetic waves by an object in uniform translational motion

A general, relativistic formalism is developed for the three‐dimensional scattering of electromagnetic waves by an object that is in uniform translational motion with respect to a source of electromagnetic radiation. The theory applies to objects of arbitrary size, shape, and physical composition. In particular, the temporal frequency spectrum of the field detected by a receiver that is stationary with respect to the source is determined. Numerical results pertaining to the scattering of a time‐harmonic plane wave by a small, uniformly moving particle are presented.