We propose a rapid new iterative scheme for accurately reconstructing the relative positions of source and scatterers directly from the data of a monoenergetic point-source diffraction pattern. It takes account of the squared object-wave terms neglected in traditional holographic algorithms, does not suffer from a twin-image problem, and even identifies the chemical species of the scattering atoms.

• Received 19 June 1992

DOI:https://doi.org/10.1103/PhysRevLett.70.1112