Phase retrieval using measurements of a volume speckle field with synthetic apertures

Abstract

Sequential intensity measurements of a volume speckle field and wave propagation equation allow the reconstruction of a complete object wave field with both amplitude and phase information. The resolution of the reconstructed wave field depends on the numerical aperture defined by the size of the CCD array. In this study, larger apertures are synthesized by measuring the speckle pattern at different positions in the transverse plane and stitching the measurements together. Improvements in the quality of reconstructions are demonstrated experimentally and by computer simulations. Undesirable effects of camera tilt on the quality of reconstructions from synthetic aperture intensity measurements are experimentally observed and corrected.