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Opt Express. 2010 Jun 21;18(13):13536-41. doi: 10.1364/OE.18.013536.

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

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  • 1Department of Electrical and Computer Engineering, National University of Singapore, Singapore, Singapore.


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.

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