Based on the extended physical optics approximation
we obtain the Fourier diffraction theorem for a perfectly conducting object
which is quite similar to the one for a dielectic object derived under the Born or Rytov approximation. This identity relates the object characteristic function with the scattered fields over a measurement plane in Fourier domain.Therefore
it can be used to reconstruct a perfectly conducting target from the scattered dara. The availability of the itientity is exemplified by a circular cylinder case.