Abstract

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.

© 1983 Optical Society of America