RECURSIVE ALGORITHM FOR PHASE RETRIEVAL IN THE FRACTIONAL FOURIER-TRANSFORM DOMAIN

We first discuss the discrete fractional Fourier transform and present some essential properties. We then propose a recursive algorithm to i mplement phase retrieval from two intensities in the fractional Fourie r transform domain. This approach can significantly simplify computati onal manipulations and does not need an initial phase estimate compare d with conventional iterative algorithms. Simulation results show that this approach can successfully recover the phase from two intensities . (C) 1998 Optical Society of America.