Optimization methods for phase retrieval from multiple images

The retrieval of phase information from only the magnitude of the Fourier transform of a signal remains an important problem for many applications. We present an algorithm for phase retrieval when there exist two related sets of Fourier transform magnitude data. The data is assumed to come from a single object, observed in two different polarizations through a distorting media, so that the phase component of the Fourier transform of the object is corrupted. The phase retrieval is by minimization of a suitable criterion function, which can take three different forms. Phase retrieval problems associated with SAR imaging are considered.