Quantitative phase retrieval of a complex-valued object using variable function orders in the fractional Fourier domain

We propose a novel and effective method to quantitatively recover a complex-valued object from diffraction intensity maps recorded in the fractional Fourier domain. A wavefront modulation is introduced in the wave path, and several diffraction intensity maps are recorded through variable function orders in the fractional Fourier transform. A new phase retrieval algorithm is then proposed, and advantages of the proposed algorithm are also discussed. A proof-of-principle study is presented to show the feasibility and effectiveness of the proposed method.