Double Passage Imaging Through a Random Screen Using a Non-redundant Aperture

Abstract

When a deterministic object situated in the near or far-field is coherently illuminated and viewed through the same random screen, the time-averaged image contains diffraction-limited information. We demonstrate that the use of a non-redundant aperture considerably simplifies the retrieval of this information. The effects of the number of sub-apertures, finite sub-aperture size and finite exposure time on the imaging process are discussed. The optimal procedure for recovery of object spatial frequencies is shown to be sequential, using a two pinhole or Michelson-Fizeau aperture. Computer-simulated reconstructions of simple object distributions are presented.