On the scattering of electromagnetic waves by perfectly conducting bodies moving in vacuum. Part 3: Representations of sufficiently smooth solutions of Maxwell's equation and of the scattering program

A representation of electromagnetic fields exterior to a perfectly conducting object undergoing general non-rigid motion is derived in terms of boundary integrals. The representation of the field involves scalar and vector potentials and the representation is the counter part of the Stratton-Chu or Maue representations in the stationary case. However, the motion complicates the representation considerably and this is shown explicity.