Speckle Interferometry Image Reconstruction Techniques Proceeding from the Phase of the Fourier Transform

The familiar methods of image reconstruction employed in the speckle interferometry require measurements of both the transfer function modulus [1] and phase [2] with the aid of a reference point object. In case the scattering is isotropic, the phase can be measured with a better accuracy than the modulus which makes suggestive image reconstruction from the phase alone. Hayes et al. [3] and Bruck and Sodin [4] have put forward techniques for reconstructing one- and two-dimensional images from either exact [3] or approximate [4] knowledge of the phase. In this paper we suggest reconstruction algorithms for those cases where the spectrum phase is known to a limited accuracy and no data exist as to the size and position of the image. Considered are the uniqueness and accuracy of the reconstruction, and image identification.