Open AccessNon-iterative solution of the phase retrieval problem using a single diffraction measurement
Author(s) -
Harry M. Quiney,
Garth J. Williams,
Keith A. Nugent
Publication year - 2008
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.16.006896
Subject(s) - phase retrieval , coherent diffraction imaging , optics , ptychography , diffraction , iterative method , phase contrast imaging , phase (matter) , sample (material) , iterative reconstruction , image processing , computer science , fresnel diffraction , phase problem , algorithm , physics , image (mathematics) , computer vision , fourier transform , phase contrast microscopy , quantum mechanics , thermodynamics
Coherent diffractive imaging is a method by which iterative methods are employed to recover image information about a finite object from its coherent diffraction pattern. We employ methods borrowed from density functional theory to show that an image can be recovered in a single non-iterative step for a finite sample subject to phase-curved illumination. The result also yields a new approach to quantitative x-ray phase-contrast imaging.