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Reconstruction of missing information in diffraction patterns and holograms by iterative phase retrieval


Latychevskaia, Tatiana (2019). Reconstruction of missing information in diffraction patterns and holograms by iterative phase retrieval. Optics Communications, 452:56-67.

Abstract

It is demonstrated that an object distribution can be successfully retrieved from its diffraction pattern or hologram, even if some of the measured intensity samples are missing. The maximum allowable number of missing values depends on the linear oversampling ratio , where the higher the value of , the more intensity samples can be missing. For a real-valued object, the ratio of missing pixels to the total number of pixels should not exceed (1 - 2/) or (1 - 1/) in the acquired diffraction pattern or hologram, respectively. For example, even 5% of the measured intensity values at an oversampling ratio of are sufficient to simultaneously retrieve the object distribution and the missing intensity values. It is important that the missing intensity values should not be concentrated in the centre, but should be randomly distributed over the acquired diffraction pattern.

Abstract

It is demonstrated that an object distribution can be successfully retrieved from its diffraction pattern or hologram, even if some of the measured intensity samples are missing. The maximum allowable number of missing values depends on the linear oversampling ratio , where the higher the value of , the more intensity samples can be missing. For a real-valued object, the ratio of missing pixels to the total number of pixels should not exceed (1 - 2/) or (1 - 1/) in the acquired diffraction pattern or hologram, respectively. For example, even 5% of the measured intensity values at an oversampling ratio of are sufficient to simultaneously retrieve the object distribution and the missing intensity values. It is important that the missing intensity values should not be concentrated in the centre, but should be randomly distributed over the acquired diffraction pattern.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Scopus Subject Areas:Physical Sciences > Electronic, Optical and Magnetic Materials
Physical Sciences > Atomic and Molecular Physics, and Optics
Physical Sciences > Physical and Theoretical Chemistry
Physical Sciences > Electrical and Electronic Engineering
Uncontrolled Keywords:Physical and Theoretical Chemistry, Electrical and Electronic Engineering, Atomic and Molecular Physics, and Optics, Electronic, Optical and Magnetic Materials
Language:English
Date:1 December 2019
Deposited On:04 Feb 2020 16:46
Last Modified:12 Jul 2021 00:00
Publisher:Elsevier
ISSN:0030-4018
OA Status:Green
Publisher DOI:https://doi.org/10.1016/j.optcom.2019.07.021

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