Scattering of electromagnetic plane waves by a spheroid uniformly moving in free space

We investigate the scattering process, generated by a plane electromagnetic field that is incident upon a moving perfectly conducting spheroid. An accurate treatment of the electromagnetic waves interaction with scatterers in uniform motion is based on the special relativity principle. In the object's frame the incident wave is assumed to have a wavelength which is much larger than the characteristic dimension of the scatterer and thus the low-frequency approximation method is applicable to the scattering problem. For the near electromagnetic field we obtain the zeroth-order low-frequency coefficients, while in the far field we calculate the leading terms for the scattering amplitude and scattering cross-section. Finally, using the inverse Lorentz transform, we obtain the same approximations in the observer's frame.