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Published June 2021 | Published + Submitted
Journal Article Open

Non-iterative complex wave-field reconstruction based on Kramers–Kronig relations

Abstract

A non-iterative and non-interferometric computational imaging method to reconstruct a complex wave field called synthetic aperture imaging based on Kramers–Kronig relations (KKSAI) is reported. By collecting images through a modified microscope system with pupil modulation capability, we show that the phase and amplitude profile of the sample at pupil limited resolution can be extracted from as few as two intensity images by using Kramers–Kronig (KK) relations. It is established that as long as each subaperture's edge crosses the pupil center, the collected raw images are mathematically analogous to off-axis holograms. This in turn allows us to adapt a recently reported KK-relations-based phase recovery framework in off-axis holography for use in KKSAI. KKSAI is non-iterative, free of parameter tuning, and applicable to a wider range of samples. Simulation and experiment results have proved that it has much lower computational burden and achieves the best reconstruction quality when compared with two existing phase imaging methods.

Additional Information

© 2021 Chinese Laser Press. Received 19 January 2021; revised 23 March 2021; accepted 23 March 2021; posted 25 March 2021 (Doc. ID 419886); published 24 May 2021. Cheng Shen thanks Ruizhi Cao and Dr. Baptiste Blochet for helpful discussions on this work. Funding: Donna and Benjamin M. Rosen Bioengineering Center, California Institute of Technology (Rosen Center Pilot Grant Award 9900050). The authors declare no conflicts of interest. Data Availability: Data and algorithm underlying the results presented in this paper are available upon request.

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Published - prj-9-6-1003.pdf

Submitted - 2005.05288.pdf

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Created:
August 20, 2023
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October 20, 2023