We first discuss the discrete fractional Fourier transform and present some essential properties. We then propose a recursive algorithm to implement phase retrieval from two intensities in the fractional Fourier transform domain. This approach can significantly simplify computational manipulations and does not need an initial phase estimate compared with conventional iterative algorithms. Simulation results show that this approach can successfully recover the phase from two intensities.
© 1998 Optical Society of America
Original Manuscript: December 1, 1997
Revised Manuscript: April 22, 1998
Published: October 10, 1998
Wen-Xiang Cong, Nan-Xian Chen, and Ben-Yuan Gu, "Recursive algorithm for phase retrieval in the fractional Fourier transform domain," Appl. Opt. 37, 6906-6910 (1998)