Practical implementation of a direct method for coherent diffractive imaging

Martin, A, Bishop, A, Paganin, D and Allen, L 2011, 'Practical implementation of a direct method for coherent diffractive imaging', Ultramicroscopy, vol. 111, no. 7, pp. 777-781.


Document type: Journal Article
Collection: Journal Articles

Title Practical implementation of a direct method for coherent diffractive imaging
Author(s) Martin, A
Bishop, A
Paganin, D
Allen, L
Year 2011
Journal name Ultramicroscopy
Volume number 111
Issue number 7
Start page 777
End page 781
Total pages 5
Publisher Elsevier BV
Abstract We experimentally implement a direct, non-iterative method for recovering the complex wave in the exit-surface plane of a coherently illuminated object. The form of illumination is subject to certain conditions. By satisfying these conditions, the complex exit-surface wave is directly recovered from a single far-field intensity pattern, by solving a set of linear equations. These linear equations, whose coefficients depend on the incident illumination, are obtained by analyzing the autocorrelation function of the exit-surface wave. This autocorrelation is constructed by taking the inverse Fourier transform of the diffraction pattern. We introduce a preconditioning step, for the system of linear equations, which improves the robustness of the method to noise. While the present experimental proof of concept has been performed using a visible-light laser, the method is applicable to diffractive imaging using coherent X-ray and electron sources. © 2010 Elsevier B.V.
Subject Condensed Matter Imaging
Keyword(s) Coherent diffractive imaging
DOI - identifier 10.1016/j.ultramic.2010.10.003
Copyright notice © 2010 Elsevier BV
ISSN 0304-3991
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